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arxiv: 2604.06706 · v1 · submitted 2026-04-08 · ❄️ cond-mat.supr-con · cond-mat.mes-hall· cond-mat.mtrl-sci· cond-mat.str-el

Recognition: 2 theorem links

· Lean Theorem

Directional Andreev-Reflection Signatures of Inter-Orbital Pairing in Sr₂RuO₄

G. Csire , Y. Fukaya , M. Cuoco , Y. Tanaka , R.K. Kremer , A.S. Gibbs , G.A. Ummarino , D. Daghero
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R.S. Gonnelli
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Pith reviewed 2026-05-10 18:06 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hallcond-mat.mtrl-scicond-mat.str-el
keywords Sr2RuO4Andreev bound statesinter-orbital pairingunconventional superconductivitysurface statesedge modespairing symmetryquasi-two-dimensional systems
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The pith

Inter-orbital pairing in Sr₂RuO₄ reverses the usual directional anisotropy of Andreev bound states.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows that Sr₂RuO₄ displays strong in-gap Andreev bound states at surfaces perpendicular to the out-of-plane direction while in-plane edges show weaker features, opposite to the standard expectation for quasi-two-dimensional unconventional superconductors. A sympathetic reader would care because this reversal supplies direct spectroscopic constraints on the long-debated pairing symmetry of the material. The authors demonstrate that inter-orbital pairing channels account for the observed pattern by naturally favoring surface states over edge modes. This also offers a route to a horizontal line node in the gap.

Core claim

The central claim is that the anomalous anisotropy arises from the inter-orbital character of the superconducting pairing. Both even- and odd-parity inter-orbital channels generate robust surface Andreev bound states while suppressing planar edge modes and can produce a horizontal line node. Edge- and surface-sensitive spectroscopy reveals pronounced in-gap features at out-of-plane surfaces and reduced intensity at in-plane edges, consistent with calculations that incorporate the material's interface properties.

What carries the argument

Inter-orbital pairing channels within the superconducting order parameter, which dictate direction-dependent formation of Andreev bound states.

If this is right

  • The superconducting order parameter must contain substantial inter-orbital components to match the directional spectral signatures.
  • A horizontal line node becomes possible in the gap structure.
  • Surface-sensitive measurements gain priority over edge measurements for identifying pairing symmetry in this system.
  • The conventional paradigm linking in-plane edge states to unconventional superconductivity requires modification for multi-orbital materials.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same inter-orbital mechanism could resolve similar directional anomalies reported in other layered multi-orbital superconductors.
  • Varying surface termination in future experiments would provide a direct test of whether orbital mixing controls the bound-state intensity.
  • Confirmation would narrow the range of viable single-orbital models for the pairing in Sr₂RuO₄.
  • Interface effects are incorporated in the model without extra parameters, implying they are secondary to the bulk pairing character.

Load-bearing premise

The observed in-gap spectral features are Andreev bound states produced by the bulk pairing symmetry rather than by interface reconstructions or disorder.

What would settle it

Absence of strong in-gap states at out-of-plane surfaces in samples with different surface preparations or interface conditions would contradict the inter-orbital pairing explanation.

Figures

Figures reproduced from arXiv: 2604.06706 by A.S. Gibbs, D. Daghero, G.A. Ummarino, G. Csire, M. Cuoco, R.K. Kremer, R.S. Gonnelli, Y. Fukaya, Y. Tanaka.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (f), for inter-orbital Eg pairing the orbital-resolved spectral weight of the zero-energy peak is predominantly of dxy character. Since this electronic state is mainly confined to the plane, it is expected to couple weakly to a conducting channel oriented largely out of plane. This provides a possible explanation for the absence of in￾gap peak in the conductance probed by scanning tunnel￾ing spectroscopy [… view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
read the original abstract

Unconventional superconductivity in quasi--two-dimensional systems is commonly identified through the emergence of Andreev bound states (ABS) at in-plane edges, while surfaces perpendicular to out-of-plane direction remain fully gapped due to weak interlayer coherence. This directional anisotropy has long served as a key paradigm for constraining pairing symmetries. Here, we show that Sr$_2$RuO$_4$ exhibits a striking reversal of this behavior. Using edge- and surface-sensitive spectroscopy, we observe pronounced in-gap ABS at surfaces perpendicular to the out-of-plane direction, whereas in-plane edges exhibit a reduced intensity of the in-gap spectral features. We show that this anomalous anisotropy can arise from the inter-orbital character of the superconducting pairing. Both even- and odd-parity inter-orbital pairing channels naturally generate robust surface ABS while suppressing planar edge modes and can also provide a mechanism for the appearance of a horizontal line node. Supported by \textit{ab initio} and model calculations, including Sr$_2$RuO$_4$/Ag interface reconstructions, our results highlight the possible role of inter-orbital correlations in shaping the spectroscopic response and provide constraints on the structure of the superconducting order parameter in Sr$_2$RuO$_4$.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports a reversal of the conventional directional anisotropy of Andreev bound states (ABS) in Sr₂RuO₄: pronounced in-gap spectral features are observed at surfaces perpendicular to the c-axis, while in-plane edges show reduced in-gap intensity. This is interpreted as arising from the inter-orbital character of the superconducting pairing, with both even- and odd-parity inter-orbital channels naturally producing robust surface ABS, suppressing planar edge modes, and offering a mechanism for a horizontal line node. The interpretation is supported by edge- and surface-sensitive spectroscopy together with ab initio and model calculations that incorporate Sr₂RuO₄/Ag interface reconstructions.

Significance. If the attribution to bulk inter-orbital pairing holds, the result supplies new spectroscopic constraints on the order parameter of Sr₂RuO₄ and underscores the importance of inter-orbital correlations in quasi-2D unconventional superconductors. The inclusion of ab initio interface modeling is a constructive element that moves beyond purely phenomenological treatments.

major comments (2)
  1. [ab initio and model calculations section] The central claim that the observed out-of-plane in-gap states are bulk Andreev bound states generated by inter-orbital pairing (rather than Sr₂RuO₄/Ag interface artifacts, disorder, or proximity effects) is load-bearing. The ab initio interface calculations are invoked to support this distinction, yet the manuscript does not quantify uncertainties in orbital hybridization or demonstrate that alternative extrinsic mechanisms are excluded by the data.
  2. [model calculations] The model calculations that map even- and odd-parity inter-orbital pairing channels onto the directional selectivity of ABS and the horizontal line node must show explicitly that the predicted anisotropy is robust and independent of any fitted parameters or normalizations used to match the spectra; otherwise the mapping risks circularity with the target observation.
minor comments (2)
  1. Notation for the even- and odd-parity inter-orbital channels should be defined consistently in the text and figures to avoid ambiguity when comparing to prior literature on Sr₂RuO₄ pairing symmetries.
  2. [experimental methods] The experimental spectra would benefit from explicit error bars, sample details, and a clear statement of how background subtraction or normalization was performed.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment of our work and the constructive comments on the ab initio and model calculations. We address each major comment below and have revised the manuscript to incorporate additional analyses that strengthen the distinction between bulk inter-orbital pairing effects and possible extrinsic contributions.

read point-by-point responses

  1. Referee: [ab initio and model calculations section] The central claim that the observed out-of-plane in-gap states are bulk Andreev bound states generated by inter-orbital pairing (rather than Sr₂RuO₄/Ag interface artifacts, disorder, or proximity effects) is load-bearing. The ab initio interface calculations are invoked to support this distinction, yet the manuscript does not quantify uncertainties in orbital hybridization or demonstrate that alternative extrinsic mechanisms are excluded by the data.

    Authors: We agree that quantifying uncertainties and explicitly ruling out extrinsic mechanisms is necessary for the central claim. In the revised manuscript we have added a sensitivity analysis of the DFT interface calculations, varying orbital hybridization strengths over the range permitted by the reconstructed Sr₂RuO₄/Ag energetics; the surface ABS remain robust across this interval, with error bars now shown on the relevant spectral features. We further compare calculated spectra for conventional intra-orbital pairing, which fails to generate the observed out-of-plane in-gap intensity, and demonstrate that isotropic proximity-induced pairing or disorder broadening cannot reproduce the measured directional anisotropy (strong surface states, suppressed edge states). These comparisons are now presented in the main text and supplementary material. revision: yes

  2. Referee: [model calculations] The model calculations that map even- and odd-parity inter-orbital pairing channels onto the directional selectivity of ABS and the horizontal line node must show explicitly that the predicted anisotropy is robust and independent of any fitted parameters or normalizations used to match the spectra; otherwise the mapping risks circularity with the target observation.

    Authors: We acknowledge the risk of circularity and have revised the model section accordingly. The anisotropy and horizontal line node are general topological consequences of the orbital-selective pairing terms in the tight-binding Hamiltonian. In the revised version we include an explicit parameter scan (now in the supplementary information) in which the relative amplitudes of even- and odd-parity inter-orbital components, the overall pairing scale, and spectral normalizations are varied over more than an order of magnitude. The reversal of directional selectivity and the horizontal line node persist throughout the scanned range, confirming that these features are structural properties of the inter-orbital channels rather than artifacts of specific fitting choices. revision: yes

Circularity Check

0 steps flagged

No circularity: ab initio and model calculations provide independent support for the inter-orbital pairing interpretation

full rationale

The paper's central derivation attributes the observed reversal of ABS anisotropy (robust out-of-plane surface states, suppressed in-plane edges) to even- and odd-parity inter-orbital pairing channels, which are shown via ab initio interface modeling and separate model calculations to naturally generate these features plus a possible horizontal line node. No quoted step reduces a claimed prediction to a fitted parameter by construction, nor does any load-bearing premise collapse to a self-citation chain or self-defined ansatz. The ab initio component supplies external grounding independent of the target spectra, and the model results are presented as demonstrations of natural consequences rather than tautological fits. The derivation chain therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the assumption that the spectroscopic features are bulk-derived Andreev states from inter-orbital pairing; the abstract supplies no explicit free parameters but implies model calculations that may contain them.

axioms (1)
  • domain assumption Observed in-gap states at out-of-plane surfaces are Andreev bound states generated by the superconducting order parameter rather than interface-specific effects.
    This interpretation is required to link the directional anisotropy to inter-orbital pairing.

pith-pipeline@v0.9.0 · 5579 in / 1267 out tokens · 40040 ms · 2026-05-10T18:06:16.284639+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Transverse Magnetic Response from Orbitally Polarized Cooper Pairs in Elemental Superconductors

    cond-mat.supr-con 2026-05 unverdicted novelty 7.0

    Strained vanadium and niobium host orbitally polarized Cooper pairs that generate a transverse orbital magnetization perpendicular to an in-plane magnetic field.

Reference graph

Works this paper leans on

94 extracted references · 10 canonical work pages · cited by 1 Pith paper

  1. [1]

    Sigrist and K

    M. Sigrist and K. Ueda, Phenomenological theory of un- conventional superconductivity, Rev. Mod. Phys.63, 239 (1991)

    1991

  2. [2]

    C. C. Tsuei and J. R. Kirtley, Pairing symmetry in cuprate superconductors, Rev. Mod. Phys.72, 969 (2000)

    2000

  3. [3]

    Kashiwaya and Y

    S. Kashiwaya and Y. Tanaka, Tunnelling effects on sur- faceboundstatesinunconventionalsuperconductors,Re- ports on Progress in Physics63, 1641 (2000)

    2000

  4. [4]

    Hu, Midgap surface states as a novel signature for d 2 xa-x 2 b-wave superconductivity, Phys

    C.-R. Hu, Midgap surface states as a novel signature for d 2 xa-x 2 b-wave superconductivity, Phys. Rev. Lett.72, 1526 (1994)

    1994

  5. [5]

    Tanaka and S

    Y. Tanaka and S. Kashiwaya, Theory of tunneling spec- troscopy ofd-wave superconductors, Phys. Rev. Lett.74, 3451 (1995)

    1995

  6. [6]

    A. Y. Kitaev, Unpaired Majorana fermions in quantum wires, Physics-Uspekhi44, 131 (2001)

    2001

  7. [7]

    Qi and S.-C

    X.-L. Qi and S.-C. Zhang, Topological insulators and su- perconductors, Rev. Mod. Phys.83, 1057 (2011)

    2011

  8. [8]

    Sato and Y

    M. Sato and Y. Ando, Topological superconductors: a re- view, Reports on Progress in Physics80, 076501 (2017)

    2017

  9. [9]

    Tanaka, M

    Y. Tanaka, M. Sato, and N. Nagaosa, Symmetry and topology in superconductors –odd-frequency pairing and edge states–, Journal of the Physical Society of Japan81, 011013 (2012)

    2012

  10. [10]

    Tanaka, S

    Y. Tanaka, S. Tamura, and J. Cayao, Theory of Ma- jorana zero modes in unconventional superconductors, Progress of Theoretical and Experimental Physics2024, 08C105 (2024), https://academic.oup.com/ptep/article- pdf/2024/8/08C105/58919082/ptae065.pdf

    2024

  11. [11]

    D. A. Ivanov, Non-abelian statistics of half-quantum vor- tices inp-wave superconductors, Phys. Rev. Lett.86, 268 (2001)

    2001

  12. [12]

    Sato, Non-abelian statistics of axion strings, Physics Letters B575, 126 (2003)

    M. Sato, Non-abelian statistics of axion strings, Physics Letters B575, 126 (2003)

    2003

  13. [13]

    Nayak, S

    C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Non-abelian anyons and topological quan- tum computation, Rev. Mod. Phys.80, 1083 (2008)

    2008

  14. [14]

    J. D. Sau, R. M. Lutchyn, S. Tewari, and S. Das Sarma, Generic new platform for topological quantum compu- tation using semiconductor heterostructures, Phys. Rev. Lett.104, 040502 (2010)

    2010

  15. [15]

    Alicea, Y

    J. Alicea, Y. Oreg, G. Refael, F. von Oppen, and M. P. A. Fisher, Non-abelian statistics and topological quantum information processing in 1d wire networks, Na- ture Physics7, 412 (2011)

    2011

  16. [16]

    Kashiwaya, Y

    S. Kashiwaya, Y. Tanaka, M. Koyanagi, H. Takashima, and K. Kajimura, Origin of zero-bias conductance peaks in high-T c superconductors, Phys. Rev. B51, 1350 (1995)

    1995

  17. [17]

    L. Alff, H. Takashima, S. Kashiwaya, N. Terada, H. Ihara, Y. Tanaka, M. Koyanagi, and K. Kajimura, Spatially continuous zero-bias conductance peak on (110) YBa2Cu3O7−δ surfaces, Phys. Rev. B55, R14757 (1997)

    1997

  18. [18]

    Lesueur, L

    J. Lesueur, L. Greene, W. Feldmann, and A. Inam, Zero bias anomalies in YBa2Cu3O7 tunnel junctions, Physica C: Superconductivity191, 325 (1992)

    1992

  19. [19]

    Covington, M

    M. Covington, M. Aprili, E. Paraoanu, L. H. Greene, F. Xu, J. Zhu, and C. A. Mirkin, Observation of surface- induced broken time-reversal symmetry in YBa2Cu3O7 tunnel junctions, Phys. Rev. Lett.79, 277 (1997)

    1997

  20. [20]

    J. Y. T. Wei, N.-C. Yeh, D. F. Garrigus, and M. Strasik, Directional tunneling and andreev reflec- tion on YBa2Cu3O7−δ single crystals: Predominance of d-wave pairing symmetry verified with the generalized blonder, tinkham, and klapwijk theory, Phys. Rev. Lett. 81, 2542 (1998)

    1998

  21. [21]

    Balci, and R

    A.Biswas, P.Fournier, M.M.Qazilbash, V.N.Smolyani- nova, H. Balci, and R. L. Greene, Evidence of ad- tos-wave pairing symmetry transition in the electron- doped cuprate superconductor Pr 2−xCexCuO4, Phys. Rev. Lett.88, 207004 (2002)

    2002

  22. [22]

    Kashiwaya, H

    S. Kashiwaya, H. Kashiwaya, H. Kambara, T. Furuta, H. Yaguchi, Y. Tanaka, and Y. Maeno, Edge states of Sr2RuO4 detected by in-plane tunneling spectroscopy, Phys. Rev. Lett.107, 077003 (2011)

    2011

  23. [23]

    Petrovic, and J

    P.M.C.Rourke, M.A.Tanatar, C.S.Turel, J.Berdeklis, C. Petrovic, and J. Y. T. Wei, Spectroscopic evidence for multiple order parameter components in the heavy fermion superconductor CeCoIn5, Phys. Rev. Lett.94, 107005 (2005)

    2005

  24. [24]

    Daghero, M

    D. Daghero, M. Tortello, G. Ummarino, J.-C. Griveau, E. Colineau, R. Eloirdi, A. Shick, J. Kolorenc, A. Licht- enstein, and R. Caciuffo, Strong-coupling d-wave super- conductivity in PuCoGa5 probed by point-contact spec- troscopy, Nat. Commun.3, 786 (2012)

    2012

  25. [25]

    Wälti, H

    C. Wälti, H. R. Ott, Z. Fisk, and J. L. Smith, Spectro- scopic evidence for unconventional superconductivity in UBe13, Phys. Rev. Lett.84, 5616 (2000)

    2000

  26. [26]

    Z. Liu, M. Chen, Y. Xiang, X. Chen, H. Yang, T. Liu, Q.- G. Mu, K. Zhao, Z.-A. Ren, and H.-H. Wen, Multiband superconductivity and possible nodal gap in RbCr3As3 revealed by andreev reflection and single-particle tunnel- ing measurements, Phys. Rev. B100, 094511 (2019)

    2019

  27. [27]

    W. Zhu, R. Song, J. Huang, Q.-W. Wang, Y. Cao, R. Zhai, Q. Bian, Z. Shao, H. Jing, L. Zhu, Y. Hou, Y.-H. Gao, S. Li, F. Zheng, P. Zhang, M. Pan, J. Liu, G. Qu, Y. Gu, H. Zhang, Q. Dong, Y. Huang, X. Yuan, J. He, G. Li, T. Qian, G. Chen, S.-C. Li, M. Pan, and Q.-K. Xue, Intrinsic surface p-wave superconductivity in layered ausn4, Nature Communications14, 7...

    2023

  28. [28]

    R. Yano, S. Nagasaka, N. Matsubara, K. Saigusa, T. Tanda, S. Ito, A. Yamakage, Y. Okamoto, K. Tak- enaka, and S. Kashiwaya, Evidence of unconven- tional superconductivity on the surface of the nodal semimetal CaAg1−xPdxP, Nature Communications14, 6817 (2023)

    2023

  29. [29]

    H. Yoon, Y. S. Eo, J. Park, J. A. Horn, R. G. Dorman, S. R. Saha, I. M. Hayes, I. Takeuchi, P. M. Brydon, and J. Paglione, Probing p-wave superconductivity in UTe2 via point-contact junctions, npj Quantum Mater.9, 91 (2024)

    2024

  30. [30]

    S. Wang, K. Zhussupbekov, J. P. Carroll, B. Hu, X. Liu, E. Pangburn, A. Crepieux, C. Pepin, C. Broyles, S. Ran, N. P. Butch, S. Saha, J. Paglione, C. Bena, J. C. S. Davis, and Q. Gu, Odd-parity quasiparticle interference in the superconductive surface state of UTe2, Nature Physics 9 21, 1555 (2025)

    2025

  31. [31]

    Bisset, L

    R. Bisset, L. C. Rhodes, H. Decitre, M. J. Neat, A. Maldonado, A. Huxley, C. A. Marques, and P. Wahl, Determining the superconducting order param- eter of upt3 using scanning tunneling microscopy (2025), arXiv:2512.15845 [cond-mat.supr-con]

    work page arXiv 2025

  32. [32]

    Maeno, H

    Y. Maeno, H. Hashimoto, K. Yoshida, S. Nishizaki, T. Fujita, J. G. Bednorz, and F. Lichtenberg, Supercon- ductivity in a layered perovskite without copper, Nature 372, 532 (1994)

    1994

  33. [33]

    S. A. Kivelson, A. C. Yuan, B. Ramshaw, and R. Thomale, A proposal for reconciling diverse experi- mentsonthesuperconductingstateinsr 2ruo4,npjQuan- tum Materials5, 43 (2020)

    2020

  34. [34]

    Maeno, S

    Y. Maeno, S. Yonezawa, and A. Ramires, Still mystery after all these years-unconventional superconductivity of Sr2RuO4, J. Phys. Soc. Jpn.93, 062001 (2024)

    2024

  35. [35]

    Maeno, A

    Y. Maeno, A. Ikeda, and G. Mattoni, Thirty years of puzzling superconductivity in Sr2RuO4, Nat. Phys.20, 1712 (2024)

    2024

  36. [36]

    Pustogow, Y

    A. Pustogow, Y. Luo, A. Chronister, Y.-S. Su, D.Sokolov, F.Jerzembeck, A.P.Mackenzie, C.W.Hicks, N. Kikugawa, S. Raghu,et al., Constraints on the super- conducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance, Nature574, 72 (2019)

    2019

  37. [37]

    G. M. Luke, Y. Fudamoto, K. M. Kojima, M. I. Larkin, J. Merrin, B. Nachumi, Y. J. Uemura, Y. Maeno, Z. Q. Mao, Y. Mori, H. Nakamura, and M. Sigrist, Time-reversal symmetry-breaking superconductivity in Sr2RuO4, Nature394, 558 (1998)

    1998

  38. [38]

    J. Xia, Y. Maeno, P. T. Beyersdorf, M. M. Fejer, and A. Kapitulnik, High resolution polar kerr effect measure- ments of Sr2RuO4: Evidence for broken time-reversal symmetry in the superconducting state, Phys. Rev. Lett. 97, 167002 (2006)

    2006

  39. [39]

    Benhabib, C

    S. Benhabib, C. Lupien, I. Paul, L. Berges, M. Dion, M. Nardone, A. Zitouni, Z. Q. Mao, Y. Maeno, A. Georges, L. Taillefer, and C. Proust, Ultrasound ev- idence for a two-component superconducting order pa- rameter in Sr2RuO4, Nature Physics17, 194 (2021)

    2021

  40. [40]

    Y. Li, R. Khasanov, S. P. Cottrell, N. Kikugawa, Y. Maeno, B. Zhao, J. Ma, and V. Grinenko, Ori- gins of spontaneous magnetic fields in Sr2RuO4 (2025), arXiv:2512.24585 [cond-mat.supr-con]

    work page arXiv 2025

  41. [41]

    Y.-S. Li, N. Kikugawa, D. A. Sokolov, F. Jerzembeck, A. S. Gibbs, Y. Maeno, C. W. Hicks, J. Schmalian, M. Nicklas, and A. P. Mackenzie, High-sensitivity heat- capacity measurements on Sr2RuO4 under uniaxial pres- sure, Proceedings of the National Academy of Sciences 118, 10.1073/pnas.2020492118 (2021)

    work page doi:10.1073/pnas.2020492118 2021

  42. [42]

    Y.-S. Li, M. Garst, J. Schmalian, S. Ghosh, N. Kikugawa, D. A. Sokolov, C. W. Hicks, F. Jerzembeck, M. S. Ikeda, Z. Hu, B. J. Ramshaw, A. W. Rost, M. Nicklas, and A.P.Mackenzie,Elastocaloricdeterminationofthephase diagram of Sr2RuO4, Nature607, 276 (2022)

    2022

  43. [43]

    Mazzola, W

    F. Mazzola, W. Brzezicki, M. T. Mercaldo, A. Guarino, C. Bigi, J. A. Miwa, D. De Fazio, A. Crepaldi, J. Fu- jii, G. Rossi, P. Orgiani, S. K. Chaluvadi, S. P. Chalil, G. Panaccione, A. Jana, V. Polewczyk, I. Vobornik, C. Kim, F. Miletto-Granozio, R. Fittipaldi, C. Ortix, M. Cuoco, and A. Vecchione, Signatures of a surface spin–orbital chiral metal, Nature6...

    2024

  44. [44]

    Fittipaldi, R

    R. Fittipaldi, R. Hartmann, M. T. Mercaldo, S. Komori, A. Bjørlig, W. Kyung, Y. Yasui, T. Miyoshi, L. A. B. Olde Olthof, C. M. Palomares Garcia, V. Granata, I. Keren, W. Higemoto, A. Suter, T. Prokscha, A. Ro- mano, C. Noce, C. Kim, Y. Maeno, E. Scheer, B. Kalisky, J. W. A. Robinson, M. Cuoco, Z. Salman, A. Vec- chione, and A. Di Bernardo, Unveiling uncon...

    2021

  45. [45]

    Shiroka, R

    T. Shiroka, R. Fittipaldi, M. Cuoco, R. De Renzi, Y. Maeno, R. J. Lycett, S. Ramos, E. M. Forgan, C. Baines, A. Rost, V. Granata, and A. Vecchione,µsr studies of superconductivity in eutectically grown mixed ruthenates, Phys. Rev. B85, 134527 (2012)

    2012

  46. [46]

    Y. Wu, D. Huang, H. Zhang, A. Guarino, R. Fittipaldi, C. Ma, W. Hu, C. Niu, Z. Wang, W. Yu, Y. Yerin, A. Vecchione, Y. Liu, M. Cuoco, H. Guo, and J. Shen, Disorder-inducedpronouncedmagnetoresistivehysteresis in Josephson junctions, Phys. Rev. B111, 134513 (2025)

    2025

  47. [47]

    Izawa, H

    K. Izawa, H. Takahashi, H. Yamaguchi, Y. Matsuda, M. Suzuki, T. Sasaki, T. Fukase, Y. Yoshida, R. Settai, and Y. Onuki, Superconducting gap structure of spin- triplet superconductor Sr2RuO4 studied by thermal con- ductivity, Phys. Rev. Lett.86, 2653 (2001)

    2001

  48. [48]

    Deguchi, Z

    K. Deguchi, Z. Q. Mao, H. Yaguchi, and Y. Maeno, Gap structure of the spin-triplet superconductor Sr2RuO4 de- termined from the field-orientation dependence of the specific heat, Phys. Rev. Lett.92, 047002 (2004)

    2004

  49. [49]

    K. Iida, M. Kofu, K. Suzuki, N. Murai, S. Ohira- Kawamura, R. Kajimoto, Y. Inamura, M. Ishikado, S. Hasegawa, T. Masuda, Y. Yoshida, K. Kaku- rai, K. Machida, and S. Lee, Horizontal line nodes in Sr 2RuO4 proved by spin resonance, Journal of the Physical Society of Japan89, 053702 (2020), https://doi.org/10.7566/JPSJ.89.053702

    work page doi:10.7566/jpsj.89.053702 2020

  50. [50]

    Hassinger, P

    E. Hassinger, P. Bourgeois-Hope, H. Taniguchi, S. René de Cotret, G. Grissonnanche, M. S. Anwar, Y. Maeno, N. Doiron-Leyraud, and L. Taillefer, Verti- cal line nodes in the superconducting gap structure of Sr2RuO4, Phys. Rev. X7, 011032 (2017)

    2017

  51. [51]

    T. C. Wu, H. K. Pal, P. Hosur, and M. S. Foster, Power- law temperature dependence of the penetration depth in a topological superconductor due to surface states, Phys. Rev. Lett.124, 067001 (2020)

    2020

  52. [52]

    J. F. Landaeta, K. Semeniuk, J. Aretz, K. R. Shirer, D. A. Sokolov, N. Kikugawa, Y. Maeno, I. Bonalde, J. Schmalian, A. P. Mackenzie, and E. Hassinger, Evi- dence for vertical line nodes in Sr2RuO4 from nonlocal electrodynamics, Phys. Rev. B110, L100503 (2024)

    2024

  53. [53]

    Laube, G

    F. Laube, G. Goll, H. v. Löhneysen, M. Fogelström, and F. Lichtenberg, Spin-Triplet superconductivity in Sr2RuO4 probed by Andreev reflection, Phys. Rev. Lett. 84, 1595 (2000)

    2000

  54. [54]

    K. Yada, A. A. Golubov, Y. Tanaka, and S. Kashi- waya, Microscopic theory of tunneling spectroscopy in Sr2RuO4, Journal of the Physical Society of Japan83, 074706 (2014), https://doi.org/10.7566/JPSJ.83.074706

    work page doi:10.7566/jpsj.83.074706 2014

  55. [55]

    P. J. Curran, V. V. Khotkevych, S. J. Bending, A. S. Gibbs, S. L. Lee, and A. P. Mackenzie, Vortex imag- ing and vortex lattice transitions in superconduct- ing Sr 2RuO4 single crystals, Physical Review B84, 10.1103/physrevb.84.104507 (2011)

    work page doi:10.1103/physrevb.84.104507 2011

  56. [56]

    J. S. Bobowski, N. Kikugawa, T. Miyoshi, H. Suwa, H.-s. Xu, S. Yonezawa, D. A. Sokolov, A. P. Mackenzie, and Y. Maeno, Improved single-crystal growth of Sr2RuO4, Condensed Matter4, 6 (2019). 10

    2019

  57. [57]

    Nishizaki, Y

    S. Nishizaki, Y. Maeno, and Z. Mao, Changes in the su- perconducting state of Sr2RuO4 under magnetic fields probed by specific heat, Journal of the Physical Society of Japan69, 572 (2000)

    2000

  58. [58]

    Stuhlhofer, Präzises Orientieren und Trennen von Einkristallen, (2002), technical report on high-precision crystal alignment and cutting

    B. Stuhlhofer, Präzises Orientieren und Trennen von Einkristallen, (2002), technical report on high-precision crystal alignment and cutting

    2002

  59. [59]

    D.DagheroandR.S.Gonnelli,Probingmultibandsuper- conductivity by point-contact spectroscopy, Supercon- ductor Science and Technology23, 043001 (2010)

    2010

  60. [60]

    Daghero, M

    D. Daghero, M. Tortello, G. A. Ummarino, and R. S. Gonnelli, Directional point-contact Andreev-reflection spectroscopy of Fe-based superconductors: Fermi surface topology, gap symmetry, and electron-boson interaction, Reports on Progress in Physics74, 124509 (2011)

    2011

  61. [61]

    Tortello, D

    M. Tortello, D. Daghero, G. A. Ummarino, V. A. Stepanov, J. Jiang, J. D. Weiss, E. E. Hellstrom, and R. S. Gonnelli, Multigap superconductivity and strong electron-boson coupling in Fe-Based supercon- ductors: A point-contact Andreev-reflection study of Ba(Fe1−xCox)2As2 single crystals, Physical Review Let- ters105, 10.1103/physrevlett.105.237002 (2010)

    work page doi:10.1103/physrevlett.105.237002 2010

  62. [62]

    Lichtenberg, Probing superconductivity in Sr2RuO4 by point-contact spectroscopy, Physica B: Condensed Matter284-288, 537 (2000)

    M.Fogelström, F.Laube, G.Goll, H.vonLöhneysen,and F. Lichtenberg, Probing superconductivity in Sr2RuO4 by point-contact spectroscopy, Physica B: Condensed Matter284-288, 537 (2000)

    2000

  63. [63]

    Raychaudhuri and S

    P. Raychaudhuri and S. Mukhopadhyay, Private commu- nication, unpublished

  64. [64]

    H. Wang, W. Lou, J. Luo, J. Wei, Y. Liu, J. E. Ort- mann, and Z. Q. Mao, Enhanced superconductivity at the interface ofW/Sr 2RuO4 point contacts, Phys. Rev. B91, 184514 (2015)

    2015

  65. [65]

    Ramires and M

    A. Ramires and M. Sigrist, Superconducting order pa- rameter of Sr2RuO4: A microscopic perspective, Phys. Rev. B100, 104501 (2019)

    2019

  66. [66]

    H. G. Suh, H. Menke, P. M. R. Brydon, C. Timm, A. Ramires, and D. F. Agterberg, Stabilizing even-parity chiral superconductivity in Sr2RuO4, Phys. Rev. Res.2, 032023 (2020)

    2020

  67. [67]

    Fukaya, S

    Y. Fukaya, S. Tamura, K. Yada, Y. Tanaka, P. Gentile, and M. Cuoco, Interorbital topological superconductiv- ity in spin-orbit coupled superconductors with inversion symmetry breaking, Phys. Rev. B97, 174522 (2018)

    2018

  68. [68]

    Fukaya, S

    Y. Fukaya, S. Tamura, K. Yada, Y. Tanaka, P. Gentile, and M. Cuoco, Spin-orbital hallmarks of unconventional superconductors without inversion symmetry, Phys. Rev. B100, 104524 (2019)

    2019

  69. [69]

    Capelle and E

    K. Capelle and E. K. U. Gross, Relativistic framework for microscopic theories of superconductivity. I. The Dirac equation for superconductors, Phys. Rev. B59, 7140 (1999)

    1999

  70. [70]

    Csire, A

    G. Csire, A. Deák, B. Nyári, H. Ebert, J. F. Annett, and B. Újfalussy, Relativistic spin-polarized KKR theory for superconducting heterostructures: Oscillating order parameter in the Au layer of Nb/Au/Fe trilayers, Phys. Rev. B97, 024514 (2018)

    2018

  71. [71]

    Suderow, V

    H. Suderow, V. Crespo, I. Guillamon, S. Vieira, F. Ser- vant, P. Lejay, J. P. Brison, and J. Flouquet, A nodeless superconducting gap in Sr2RuO4 from tunneling spec- troscopy, New Journal of Physics11, 093004 (2009)

    2009

  72. [73]

    S. Ando, S. Ikegaya, S. Tamura, Y. Tanaka, and K. Yada, Surface state of the interorbital pairing state in thesr 2ruo4 superconductor, Phys. Rev. B106, 214520 (2022)

    2022

  73. [74]

    Autieri, G

    C. Autieri, G. Cuono, D. Chakraborty, P. Gentile, and A. M. Black-Schaffer, Conditions for orbital-selective al- termagnetism insr 2ruo4: Tight-binding model, similari- ties with cuprates, and implications for superconductiv- ity, Phys. Rev. B112, 014412 (2025)

    2025

  74. [75]

    Ramires, From pure to mixed: Altermagnets as in- trinsic symmetry-breaking indicators, arXiv , 2502.19162 (2025)

    A. Ramires, From pure to mixed: Altermagnets as in- trinsic symmetry-breaking indicators, arXiv , 2502.19162 (2025)

    work page arXiv 2025

  75. [76]

    Umerski, Closed-form solutions to surface Green’s functions, Phys

    A. Umerski, Closed-form solutions to surface Green’s functions, Phys. Rev. B55, 5266 (1997)

    1997

  76. [77]

    Takagi, S

    D. Takagi, S. Tamura, and Y. Tanaka, Odd-frequency pairing and proximity effect in Kitaev chain systems in- cluding a topological critical point, Phys. Rev. B101, 024509 (2020)

    2020

  77. [78]

    G. E. Blonder, M. Tinkham, and T. M. Klapwijk, Tran- sition from metallic to tunneling regimes in supercon- ducting microconstrictions: Excess current, charge im- balance, and supercurrent conversion, Phys. Rev. B25, 4515 (1982)

    1982

  78. [79]

    Yamashiro, Y

    M. Yamashiro, Y. Tanaka, and S. Kashiwaya, Theory of tunneling spectroscopy in superconducting Sr2RuO4, Phys. Rev. B56, 7847 (1997)

    1997

  79. [80]

    I. A. Firmo, S. Lederer, C. Lupien, A. P. Mackenzie, J. C. Davis, and S. A. Kivelson, Evidence from tunnel- ing spectroscopy for a quasi-one-dimensional origin of superconductivity in Sr2RuO4, Physical Review B88, 10.1103/physrevb.88.134521 (2013)

    work page doi:10.1103/physrevb.88.134521 2013

  80. [81]

    Pleceník, M

    A. Pleceník, M. Grajcar, i. c. v. Beňačka, P. Seidel, and A. Pfuch, Finite-quasiparticle-lifetime effects in the dif- ferential conductance of Bi2Sr2CaCu2Oy/Au junctions, Phys. Rev. B49, 10016 (1994)

    1994

Showing first 80 references.