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REVIEW 3 major objections 5 minor 64 references

Revealing the orbital origins of exotic electronic states with Ti substitution in kagome superconductor CsV3Sb5

T0 review · 3 major / 5 minor · reviewed 2026-08-09 · deepseek-v4-flash

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Pith's one-line read By tracking how quasiparticle interference patterns evolve with Ti doping, the paper assigns each exotic electronic state of kagome superconductor CsV3Sb5 to specific atomic orbitals.

desk verdict Useful orbital-resolved QPI data across a Ti doping series, but the paper's headline claim about the hidden order's orbital character rests on an unexplained absence that the authors' own DFT does not support. read the letter →

arxiv 2502.02923 v1 pith:PELFB4TD submitted 2025-02-05 cond-mat.supr-con cond-mat.mtrl-sci

Zihao Huang , Hui Chen , Hengxin Tan , Xianghe Han , Yuhan Ye , Bin Hu , Zhen Zhao , Chengmin Shen
show 5 more authors
Haitao Yang Binghai Yan Ziqiang Wang Feng Liu Hong-Jun Gao
This is my paper · ORCID
classification cond-mat.supr-concond-mat.mtrl-sci
keywords kagomesuperconductorCsV3Sb5Tidopingorbital-selectivephysicsquasiparticleinterferencechargedensitywavehiddenorderpseudogap
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper claims that the cascade of exotic electronic states in the kagome superconductor CsV3Sb5 can be traced, one by one, to specific atomic orbitals by substituting vanadium with titanium and imaging the resulting quasiparticle interference. It reports that V out-of-plane dxz/dyz orbitals generate the unidirectional q2 coherent states and likely carry a hidden electronic order that survives when the charge density wave is suppressed, while V in-plane dxy/dx2-y2 orbitals generate the q3 states that persist under doping. It further reports that the Sb pz orbital produces the circular q1 signal, and that this signal disappears inside both the pseudogap and the superconducting gap, implying Sb pz participation in those states. The result matters because it converts a tangled multiorbital phase diagram into concrete orbital labels for each correlated state.

What carries the argument

The central object is the orbital-resolved quasiparticle interference (QPI) pattern, obtained by Fourier-transforming scanning tunneling microscopy conductance maps and comparing them with density-functional-theory simulations of scattering within each orbital-resolved Fermi-surface sheet. The carrying identity is the one-to-one mapping between three measured scattering vectors and three orbital groups: q1 to Sb pz, q2 to V out-of-plane dxz/dyz, and q3 to V in-plane dxy/dx2-y2. Doping with Ti shifts band energies and suppresses long-range order, which the authors use as a knob to separate which QPI features belong to which orbital and which correlated state.

What would settle it

A self-consistent QPI calculation that includes Ti impurity scattering but no hidden-order gap, if it reproduces the complete disappearance of q2 in x=0.15 samples, would falsify the hidden-order assignment; alternatively, if a different dopant suppresses the CDW without producing the hidden order and q2 remains visible, the disappearance is dopant-specific rather than order-specific.

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Extended reading notes

Core claim

The authors establish an orbital-resolved quasiparticle interference (QPI) assignment for CsV3Sb5 and Ti-doped CsV3-xTixSb5. In pristine CsV3Sb5, the low-energy QPI contains three families of scattering vectors: q1 from Sb pz orbitals, q2 from V out-of-plane dxz/dyz orbitals, and q3 from V in-plane dxy/dx2-y2 orbitals; both q2 and q3 show unidirectional, C2-symmetric patterns. With increasing Ti substitution, the long-range CDW and global electronic nematicity are suppressed, q2 disappears, and q3 remains and even dominates, even though density-functional calculations show that Ti impurities do not suppress out-of-plane V scattering. The authors attribute this disappearance to a hidden electronic order that gaps the V out-of-plane electrons. Separately, the Sb pz q1 signal fades below roughly 5 meV in the pristine sample, inside the pseudogap, and vanishes in the superconducting gap, indicating that Sb pz electrons participate in both the pseudogap and superconductivity.

Load-bearing premise

The claim that the missing q2 signal means V out-of-plane electrons are gapped by a hidden order assumes the absence is not instead caused by Ti impurities or the tunneling process simply making those orbital states invisible to the measurement.

Editorial extensions

If this is right

  • The hidden-order state that survives CDW suppression in Ti-doped CsV3Sb5 is primarily carried by V out-of-plane dxz/dyz electrons, since the q2 signal from those orbitals disappears while the hidden-order gap remains.
  • The Sb pz orbital participates in the pseudogap and superconducting states, because its q1 QPI signal vanishes inside both energy gaps.
  • The in-plane V dxy/dx2-y2 orbitals sustain the q3 scattering that persists and dominates at higher Ti doping, indicating that the second superconducting dome is multiband and involves both Sb pz and in-plane V orbitals.
  • The orbital-resolved phase diagram from pristine to x=0.27 provides a template for assigning orbitals to electronic phases in other kagome materials.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A direct testable extension is to apply the same QPI analysis to Cr-, Mo-, or Ta-doped CsV3Sb5; if q2 disappearance tracks the hidden order rather than the specific Ti impurity, the V out-of-plane orbital assignment is a general property of the phase diagram.
  • The puzzling absence of q2 could be turned into a quantitative spectroscopic probe of the hidden order: tracking q2 intensity versus temperature and doping would map where and when the out-of-plane V electrons become gapped, without relying on density-wave Bragg peaks.
  • The same orbital-resolved QPI scheme could be applied to titanium-based kagome compounds and related kagome metals where orbital-selective nematicity has been reported, to test whether V-orbital assignments carry over to other transition-metal kagome lattices.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The manuscript reports scanning tunneling microscopy/spectroscopy (STM/STS) quasiparticle interference (QPI) measurements on pristine CsV3Sb5 and Ti-doped CsV3-xTixSb5 (x = 0.03, 0.04, 0.15, 0.27), combined with density-functional theory (DFT) orbital-resolved QPI simulations. The authors assign the circular q1 QPI to Sb pz orbitals, the unidirectional q2 patches to V out-of-plane dxz/dyz orbitals, and the q3 arc features to V in-plane dxy/dx2-y2 orbitals. They find that q2 disappears in heavily Ti-doped samples, which they interpret as evidence for a hidden electronic order that gaps the V out-of-plane orbitals, and they use the disappearance of q1 within the pseudo-gap and superconducting gap to argue for Sb pz participation in those states. The paper concludes with an orbital-resolved phase diagram of Ti-doped CsV3Sb5.

Significance. If the orbital assignments are correct, the paper provides one of the most complete orbital-by-orbital maps of the correlated states in the kagome superconductor CsV3Sb5, connecting specific V 3d and Sb pz orbitals to the CDW, nematic, hidden order, and superconducting states. The strength of the work lies in its forward-simulation approach: measured QPI patterns are compared with DFT-generated orbital-resolved patterns rather than fitted to them, and the dispersion matching for q2 and q3 (Figs. S4, S10) adds credibility to those assignments. The systematic Ti-doping series from x = 0.03 to 0.27 is a useful experimental platform, and the distinction between the behavior of in-plane and out-of-plane V orbitals is an interesting and potentially important observation. However, the central claim about the hidden order rests on an absence of QPI intensity, which is not adequately distinguished from several alternative explanations.

major comments (3)
  1. [Main text, paragraph following Fig. 4(b)] The conclusion that the hidden order gaps the V dxz/dyz electrons and is "primarily contributed by the V out-of-plane orbitals" rests entirely on the absence of the q2 QPI signal in the heavily doped samples. The manuscript itself states that this disappearance is "puzzling" and that the DFT calculations "did not reveal any suppression of out-of-plane scattering from Ti impurities." Absence of QPI intensity can equally arise from orbital-dependent tunneling matrix elements, disorder broadening of the quasiparticle peaks, loss of the coherent nesting that produces the sharp q2 peaks in the pristine CDW phase, or the 40 meV CEC shift moving the dxz/dyz pockets outside the measured bias window. The DFT calculation shown in Fig. S12 addresses static charge redistribution around a Ti impurity, not the QPI intensity or the spectral gap in the dxz/dyz channel. Please provide a direct test of the hidden-order hypothesis, for example a gap in the local density of states or dispersion on the relevant pockets, or explicitly rule out the alternative explanations, or soften the claim to state that the orbital origin of the hidden order is not yet established by the present data.
  2. [Main text, discussion of Fig. 3(a)] The Ti-doped CEC is constructed by applying a 40 meV energy offset relative to the pristine CEC, chosen from the doping-induced band shifts in experiment and calculation (Figs. S6, S7). This offset is a free parameter in the QPI simulation, and the simulated QPI pattern shown in Fig. 3(b) is therefore not a parameter-free prediction. Because the q2 suppression in the doped samples is inferred from the measured -5 mV QPI map, it is important to quantify how the simulated QPI patterns and the visibility of q2 depend on the chosen offset: if the dxz/dyz pockets move out of the bias window at the selected CEC, the absence of q2 could be an artifact of the offset rather than evidence for a hidden order. Please show QPI simulations for a range of offsets (e.g., 0, 20, 40, 60 meV) and compare the predicted q2 intensity with the experimental maps.
  3. [Main text, discussion of Fig. 2(g)] The inference that Sb pz participates in the pseudo-gap and superconducting states is based on the suppression of the q1 FT intensity within the -5 to 5 mV range. This absence-based reasoning is more controlled than the q2 case because q1 is present outside the gap and its energy dependence is tracked, but it still assumes that the Sb pz scattering matrix element is energy-independent. The authors should show that the q2 and q3 QPI intensities do not exhibit the same suppression over the same energy range, to exclude a general loss of QPI coherence or a tip/electronic artifact. In addition, the statement that "The FT intensity is the average of 6 pixels in q space at q1" should be specified: the pixel size, the q-space window, the background subtraction, and whether the same window is used for all energies.
minor comments (5)
  1. [Introduction, second paragraph] The word "seemly" should be "seemingly" in the sentence "with the Sb pz orbital making seemly important contributions."
  2. [Fig. 1 caption] The caption contains a duplicated word: "dI/dV maps (d) and corresponding FT image (e) of of CsV3-xTixSb5" should read "of CsV3-xTixSb5".
  3. [Reference [47]] Reference [47] is cited as "Personal communications (2022)" for the persistent hidden order with an electronic pseudogap in CsV3Sb5. A personal communication is not a citable source in a journal Letter; this evidence should be replaced with a peer-reviewed reference or described in the main text/Supplemental with sufficient detail to be evaluated.
  4. [Notation throughout] The notation for orbitals is inconsistent: the text uses "V-dxz and dyz" while figures use "V dxz and dyz", and the subscript formatting is variable. Please standardize the notation (e.g., V dxz/dyz and V dxy/dx2-y2) and ensure subscripts are consistently rendered.
  5. [Fig. 2(f) and (g)] The axes and normalization of the radially averaged linecut (Fig. 2(f)) and the energy-dependent FT intensity (Fig. 2(g)) are not defined in the main text. Please specify how the radial average is performed, what the vertical axis represents (arbitrary units? normalized intensity?), and the exact q-space averaging window used for q1.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the orbital assignments are forward-model matches, not fitted parameters renamed as predictions.

full rationale

The paper's central orbital assignments are obtained by forward simulation: orbital-resolved QPI patterns are computed from DFT band structures and then compared with measured FT-dI/dV maps. No parameter is fitted to the QPI data and then reported as a prediction; the 40 meV CEC shift for the doped sample is taken from separately observed band shifts (Figs. S6/S7), not from the QPI being predicted. The q1/q2/q3 assignments follow from matching measured QPI to the simulated patterns, which is a standard independent comparison. The conclusion that the hidden order is primarily of V out-of-plane orbital character is an inference from the absence of q2 in the doped samples; the authors explicitly flag this as 'puzzling' and note that their DFT did not reproduce the suppression, so the claim is a physically motivated hypothesis rather than a circular derivation. Self-citations (e.g., Refs. [25], [44], [47]) provide prior experimental context for the CDW, PDW, and doping behavior, but the load-bearing orbital assignments are not justified solely by those citations; they are supported by the DFT+QPI comparison presented in this work. Thus there is no constructional circularity in the derivation chain.

Assumptions & free parameters 2 free parameters · 5 assumptions · 1 invented entities

The central orbital assignment rests on forward-model QPI simulations from DFT. The main free input is the 40 meV CEC offset for the doped sample. The most fragile interpretive premise is the hidden order invoked to explain q2 disappearance, which is ad hoc relative to the DFT result.

free parameters (2)
  • Ti-doped CEC energy offset = 40 meV below pristine
    Used to simulate the x=0.15 QPI patterns; chosen from band shifts observed in experiment and DFT, but not independently pinned by the QPI data itself.
  • q1 FT intensity averaging window = 6 pixels in q-space
    Choice used for the energy-dependent q1 intensity in Fig. 2(g); it affects the apparent pseudogap width but is a minor parameter.
assumptions (5)
  • domain assumption DFT-PBE with virtual crystal approximation accurately represents the Fermi surface and orbital character of pristine and Ti-doped CsV3Sb5.
    The QPI assignments of q1, q2, q3 rely on the calculated orbital-decomposed Fermi surface in Figs. 2(a) and 3(a); if the DFT orbital character is wrong, the orbital attributions fail.
  • domain assumption Quasiparticle interference simulations from constant-energy contours of bulk bands reproduce the measured FT-dI/dV patterns.
    The method assumes surface tunneling maps reflect bulk orbital-resolved scattering, not surface reconstructions or tip and impurity matrix-element effects.
  • domain assumption Tunneling matrix elements are similar across orbitals, so the presence or absence of a QPI signal directly reflects the orbital-resolved electronic structure.
    The interpretations that q1 fades inside the pseudogap and q2 disappears in Ti-doped samples assume that matrix-element suppression is not the cause of these absences.
  • ad hoc to paper A hidden electronic order gaps the V-dxz and dyz electrons in Ti-doped CsV3Sb5.
    Invoked because DFT did not reveal suppression of out-of-plane scattering; no direct measurement of this gap's orbital character is presented.
  • domain assumption The 40 meV downward energy shift used for the x=0.15 Fermi surface is the correct doping-induced band shift.
    The CEC shift is taken from observed and calculated Sb pz band shifts; an incorrect shift would change the simulated QPI and could alter the orbital assignment.
invented entities (1)
  • Hidden electronic order gapping V-dxz/dyz electrons
    purpose: Explains the disappearance of q2 QPI from out-of-plane V orbitals in Ti-doped samples despite DFT predicting no suppression of out-of-plane scattering.
    The existence of a persistent hidden order is supported only by a personal communication (Ref. [47]) and a muon anomaly, and the specific orbital character of this hidden order has no independent falsifiable handle in this paper.

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Cite this review

Pith. "Pith review of Revealing the orbital origins of exotic electronic states with Ti substitution in kagome superconductor CsV3Sb5." pith.science (2026). https://pith.science/paper/PELFB4TD

@misc{pith2026250202923,
  author       = {Pith},
  title        = {Pith review of: Revealing the orbital origins of exotic electronic states with Ti substitution in kagome superconductor CsV3Sb5},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/PELFB4TD}},
  note         = {Machine review of arXiv:2502.02923}
}
read the original abstract

The multiband kagome superconductor CsV3Sb5 exhibits complex orbital textures on the Fermi surface, making the orbital origins of its cascade of correlated electronic states and superconductivity a major scientific puzzle. Chemical doping of the kagome plane can simultaneously tune the exotic states and the Fermi-surface orbital texture, and thus offers a unique opportunity to correlate the given states with specific orbitals. In this Letter, by substituting V atoms with Ti in kagome superconductor CsV3Sb5, we reveal the orbital origin of a cascade of its correlated electronic states through the orbital-resolved quasiparticle interference (QPI). We analyze the QPI changes associated with different orbitals, aided by first-principles calculations. We have observed that the in-plane and out-of-plane vanadium 3d orbitals cooperate to form unidirectional coherent states in pristine CsV3Sb5, whereas the out-of-plane component disappears with doping-induced suppression of charge density wave and global electronic nematicity. In addition, the Sb pz orbital plays an important role in both the pseudo-gap and superconducting states in CsV3Sb5. Our findings offer new insights into multiorbital physics in quantum materials which are generally manifested with intriguing correlations between atomic orbitals and symmetry-encoded correlated electronic states.

Figures

Figures reproduced from arXiv: 2502.02923 by the authors.

Figure 1
Figure 1. FIG 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗

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