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arxiv: 2606.27121 · v3 · pith:LZQ64CAXnew · submitted 2026-06-25 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci

Magnetoresistance in chiral systems driven by inter-band spin-orbit coupling

Misa Nozaki , Takatoshi Fujita This is my paper

Pith reviewed 2026-06-30 09:46 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sci
keywords chiral-induced spin selectivitymagnetoresistanceinter-band spin-orbit couplingmulti-band systemsnonequilibrium transportspin polarizationCISS
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The pith

Inter-band spin-orbit coupling enables spin polarization above 25% in multi-band chiral systems with Coulomb interactions.

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

The paper examines multi-band effects on magnetoresistance-CISS, moving past single-band models that have dominated prior studies of chiral-induced spin selectivity. It simulates nonequilibrium steady-state currents through chiral materials using the Gorini-Kossakowski-Sudarshan-Lindblad master equation. The central result is that realistic values of inter-band spin-orbit coupling, together with on-site Coulomb interactions, produce spin polarization exceeding 25%. This finding points to inter-band coupling as a key ingredient in the CISS mechanism. Readers would care because it supplies a quantitative route to understanding observed spin-dependent transport for potential spintronic uses.

Core claim

In multi-band chiral systems, inter-band spin-orbit coupling drives magnetoresistance-CISS, and simulations using the Gorini-Kossakowski-Sudarshan-Lindblad master equation show that spin polarization exceeding 25% is achievable for realistic coupling strengths when on-site Coulomb interactions are included.

What carries the argument

The Gorini-Kossakowski-Sudarshan-Lindblad master equation applied to multi-band chiral models that incorporate inter-band spin-orbit coupling, used to compute nonequilibrium steady-state currents and resulting spin polarization.

If this is right

  • Magnetoresistance-CISS can produce spin polarization over 25% under conditions matching typical experimental strengths.
  • Inter-band spin-orbit coupling is required for quantitative accounts of CISS in multi-band systems.
  • On-site Coulomb interactions enhance the spin selectivity when inter-band coupling is present.
  • Single-band models miss essential contributions to spin polarization in real chiral materials.

Where Pith is reading between the lines

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

  • Material engineering efforts may benefit from targeting stronger inter-band coupling rather than only molecular chirality.
  • The result suggests that transport theories for CISS should routinely include multiple bands to avoid underestimating polarization.
  • The same simulation framework could be applied to temperature or disorder dependence to generate further testable predictions.

Load-bearing premise

The Gorini-Kossakowski-Sudarshan-Lindblad master equation accurately models the nonequilibrium steady-state current in these multi-band chiral systems.

What would settle it

An experiment on a chiral molecule or nanostructure with measured realistic inter-band spin-orbit coupling and on-site interactions that finds spin polarization well below 25% would falsify the claim.

Figures

Figures reproduced from arXiv: 2606.27121 by Misa Nozaki, Takatoshi Fujita.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic illustration of the model. The [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Dependence of the average total current ( [PITH_FULL_IMAGE:figures/full_fig_p006_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

Chiral-induced spin selectivity (CISS), in which electrons transmitted through nonmagnetic chiral materials exhibit strong spin-dependent transport, has attracted growing interest for spintronic applications. However, a quantitative understanding of CISS remains elusive, partly because most previous studies rely on single-band models. In this work, we theoretically investigate multi-band effects on magnetoresistance (MR)-CISS, which is typically observed in experiments using magnetic conductive atomic force microscopy. To evaluate the spin polarization in MR-CISS, we simulate the nonequilibrium steady-state current using the Gorini-Kossakowski-Sudarshan-Lindblad master equation. We find that spin polarization exceeding 25% can be achieved for realistic inter-band spin-orbit coupling strengths in the presence of on-site Coulomb interactions. These findings highlight the crucial role of inter-band spin-orbit coupling in the mechanism of CISS.

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 investigates multi-band effects in chiral-induced spin selectivity (CISS) and magnetoresistance, extending beyond single-band models by including inter-band spin-orbit coupling and on-site Coulomb interactions. It computes nonequilibrium steady-state currents via the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation and reports that spin polarization exceeding 25% is achievable for realistic inter-band SOC strengths.

Significance. If the numerical findings are robust, the work would demonstrate that inter-band SOC plays a key role in generating observable CISS effects when combined with electron-electron interactions, providing a more realistic multi-band framework than prior single-band treatments and potentially aligning better with magnetic AFM experiments.

major comments (2)
  1. [Method] Method section (GKSL implementation): The manuscript applies the GKSL master equation directly to the multi-band chiral Hamiltonian with inter-band SOC and on-site Coulomb terms but supplies no explicit derivation of the jump operators, no verification that the weak system-bath coupling and Markovian bath assumptions remain valid under these interactions, and no comparison to non-Markovian or alternative transport formalisms. This is load-bearing for the central quantitative claim of >25% polarization.
  2. [Results] Results (spin-polarization curves): The reported spin polarization >25% is obtained exclusively from GKSL numerics for chosen values of inter-band SOC and Coulomb strength; the manuscript does not demonstrate that this threshold survives changes in the bath spectral density or inclusion of coherent inter-band channels that could invalidate the Lindblad form.
minor comments (2)
  1. [Model] Notation for the inter-band SOC term is introduced without an explicit matrix form or comparison to the single-band limit, making it difficult to isolate its contribution.
  2. [Figures] Figure captions for the polarization vs. SOC strength plots should include the exact parameter values used for the 'realistic' regime and the single-band reference case.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments. We address the major points below and will revise the manuscript to incorporate additional details and checks where appropriate.

read point-by-point responses

  1. Referee: [Method] Method section (GKSL implementation): The manuscript applies the GKSL master equation directly to the multi-band chiral Hamiltonian with inter-band SOC and on-site Coulomb terms but supplies no explicit derivation of the jump operators, no verification that the weak system-bath coupling and Markovian bath assumptions remain valid under these interactions, and no comparison to non-Markovian or alternative transport formalisms. This is load-bearing for the central quantitative claim of >25% polarization.

    Authors: We agree that the manuscript would benefit from greater methodological transparency. In the revised version we will add an appendix deriving the jump operators from the underlying system-bath interaction Hamiltonian via the standard Born-Markov procedure. We will also insert a short discussion justifying the weak-coupling and Markovian regime for the chosen parameters (bath coupling strength kept well below the inter-band SOC and Coulomb energy scales) and will briefly contrast the GKSL approach with the non-equilibrium Green’s-function method in the discussion section. revision: yes

  2. Referee: [Results] Results (spin-polarization curves): The reported spin polarization >25% is obtained exclusively from GKSL numerics for chosen values of inter-band SOC and Coulomb strength; the manuscript does not demonstrate that this threshold survives changes in the bath spectral density or inclusion of coherent inter-band channels that could invalidate the Lindblad form.

    Authors: The >25 % polarization is obtained within the present GKSL framework. To address robustness we will add supplementary figures showing the spin polarization for several bath spectral densities (Ohmic and sub-Ohmic forms with varied cutoff frequencies). We will also clarify that inter-band SOC is retained as a coherent term inside the system Hamiltonian while the bath generates the dissipative channels; a short paragraph will be added explaining why the Lindblad form remains applicable and confirming that the polarization threshold is stable under moderate changes in the bath parameters. revision: yes

Circularity Check

0 steps flagged

No circularity detected; result is output of numerical simulation

full rationale

The paper obtains its central quantitative claim (spin polarization exceeding 25%) exclusively from numerical solution of the nonequilibrium steady-state current via the GKSL master equation applied to a multi-band model that includes inter-band SOC and on-site Coulomb interactions. No equations, parameters, or steps are shown that reduce this output to a fitted input, self-definition, or self-citation chain by construction. The GKSL method is invoked as an external computational tool whose validity is an assumption (not a derived result), and the reported polarization is presented as an emergent model prediction rather than a renaming or tautological restatement of the inputs. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The central claim rests on the applicability of the Lindblad master equation to this transport problem and on the existence of realistic inter-band SOC and Coulomb parameters that produce the reported polarization; no invented entities are introduced.

free parameters (2)
  • inter-band spin-orbit coupling strength
    Described as 'realistic' values that enable >25% polarization; value not specified in abstract.
  • on-site Coulomb interaction strength
    Included to reach the reported polarization; strength not quantified in abstract.
axioms (1)
  • domain assumption The Gorini-Kossakowski-Sudarshan-Lindblad master equation governs the nonequilibrium steady-state current in the multi-band chiral system.
    Invoked directly for the simulation of spin polarization.

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Works this paper leans on

61 extracted references · 27 canonical work pages

  1. [1]

    Gorini, Vittorio and Kossakowski, Andrzej and Sudarshan, E. C. G. , title =. Journal of Mathematical Physics , volume =. 1976 , month =. doi:10.1063/1.522979 , url =

    work page doi:10.1063/1.522979 1976

  2. [2]

    Lindblad , title =

    G. Lindblad , title =. Communications in Mathematical Physics , number =

  3. [3]

    Electronic Transport in Mesoscopic Systems , publisher=

    Datta, Supriyo , year=. Electronic Transport in Mesoscopic Systems , publisher=

  4. [4]

    2020 , month =

    Jin, Tony and Filippone, Michele and Giamarchi, Thierry , journal =. 2020 , month =. doi:10.1103/PhysRevB.102.205131 , url =

    work page doi:10.1103/physrevb.102.205131 2020

  5. [5]

    Renormalized Lindblad driving: A numerically exact nonequilibrium quantum impurity solver , author =. Phys. Rev. Res. , volume =. 2020 , month =. doi:10.1103/PhysRevResearch.2.043052 , url =

    work page doi:10.1103/physrevresearch.2.043052 2020

  6. [6]

    Entropy , VOLUME =

    Moldoveanu, Valeriu and Manolescu, Andrei and Gudmundsson, Vidar , TITLE =. Entropy , VOLUME =. 2019 , NUMBER =

    2019

  7. [7]

    and Bittl, Robert and Santini, Paolo and Carretta, Stefano , title =

    Chiesa, Alessandro and Garlatti, Elena and Mezzadri, Matteo and Celada, Leonardo and Sessoli, Roberta and Wasielewski, Michael R. and Bittl, Robert and Santini, Paolo and Carretta, Stefano , title =. Nano Letters , volume =. 2024 , doi =

    2024

  8. [8]

    and Díaz, E

    Gutierrez, R. and Díaz, E. and Gaul, C. and Brumme, T. and Domínguez-Adame, F. and Cuniberti, G. , title =. The Journal of Physical Chemistry C , volume =. 2013 , doi =

    2013

  9. [9]

    The Journal of Physical Chemistry C , volume =

    Geyer, Matthias and Gutierrez, Rafael and Mujica, Vladimiro and Cuniberti, Gianaurelio , title =. The Journal of Physical Chemistry C , volume =. 2019 , doi =

    2019

  10. [10]

    The Journal of Physical Chemistry C , volume =

    Huisman, Karssien Hero and Heinisch, Jan-Brian Mi-Yu and Thijssen, Joseph Marie , title =. The Journal of Physical Chemistry C , volume =. 2023 , doi =

    2023

  11. [11]

    and Naaman, Ron , title =

    Kiran, Vankayala and Cohen, Sidney R. and Naaman, Ron , title =. The Journal of Chemical Physics , volume =. 2017 , month =. doi:10.1063/1.4966237 , url =

    work page doi:10.1063/1.4966237 2017

  12. [12]

    , title =

    Suda, Masayuki and Thathong, Yuranan and Promarak, Vinich and Kojima, Hirotaka and Nakamura, Masakazu and Shiraogawa, Takafumi and Ehara, Masahiro and Yamamoto, Hiroshi M. , title =. Nature Communications , volume =. 2019 , doi =

    2019

  13. [13]

    Mishra, Suryakant and Mondal, Amit Kumar and Pal, Shubhadeep and Das, Tapan Kumar and Smolinsky, Eilam Z. B. and Siligardi, Giuliano and Naaman, Ron , title =. The Journal of Physical Chemistry C , volume =. 2020 , doi =

    2020

  14. [14]

    and Ślęczkowski, Marcin L

    Mondal, Amit Kumar and Preuss, Marco D. and Ślęczkowski, Marcin L. and Das, Tapan Kumar and Vantomme, Ghislaine and Meijer, E. W. and Naaman, Ron , title =. Journal of the American Chemical Society , volume =. 2021 , doi =

    2021

  15. [15]

    Nature Nanotechnology , volume =

    Saito, Takuho and Inoue, Daisuke and Kitamoto, Yuichi and Hanayama, Hiroki and Fujita, Takatoshi and Watanabe, Yuki and Suda, Masayuki and Hirose, Takashi and Kajitani, Takashi and Yagai, Shiki , title =. Nature Nanotechnology , volume =. 2025 , doi =

    2025

  16. [16]

    and Lingenfelder, Magalí and Naaman, Ron and Sun, Dali and Waldeck, David H

    Bloom, Brian P. and Lingenfelder, Magalí and Naaman, Ron and Sun, Dali and Waldeck, David H. , title =. Nature Reviews Materials , volume =. 2026 , doi =

    2026

  17. [17]

    2025 , issn =

    Newton , volume =. 2025 , issn =. doi:https://doi.org/10.1016/j.newton.2025.100013 , url =

    work page doi:10.1016/j.newton.2025.100013 2025

  18. [18]

    2025 , issn =

    Scientific Reports , volume =. 2025 , issn =. doi:10.1038/s41598-025-04413-6 , url =

    work page doi:10.1038/s41598-025-04413-6 2025

  19. [19]

    ACS Nano , volume =

    Wolf, Yotam and Liu, Yizhou and Xiao, Jiewen and Park, Noejung and Yan, Binghai , title =. ACS Nano , volume =. 2022 , doi =

    2022

  20. [20]

    2022 , month =

    Fransson, Jonas , journal =. 2022 , month =

    2022

  21. [21]

    Yang, See-Hun and Naaman, Ron and Paltiel, Yossi and Parkin, Stuart S. P. , journal =. 2021 , month =. doi:10.1038/s42254-021-00302-9 , url =

    work page doi:10.1038/s42254-021-00302-9 2021

  22. [22]

    and Fontanesi, Claudio

    Mishra, Suryakant and Jones, Andrew C. and Fontanesi, Claudio. Recent advancements in chiral spintronics: from molecular-level insights to device applications. A prospect based on the interplay between physical and chemical properties of chiral systems. J. Mater. Chem. C. 2025. doi:10.1039/D4TC03453H

    work page doi:10.1039/d4tc03453h 2025

  23. [23]

    and van Wees, Bart J

    Yang, Xu and van der Wal, Caspar H. and van Wees, Bart J. , journal =. 2019 , month =. doi:10.1103/PhysRevB.99.024418 , url =

    work page doi:10.1103/physrevb.99.024418 2019

  24. [24]

    Spin selectivity through time-reversal symmetric helical junctions , author =. Phys. Rev. B , volume =. 2020 , month =. doi:10.1103/PhysRevB.102.035445 , url =

    work page doi:10.1103/physrevb.102.035445 2020

  25. [25]

    Israel Journal of Chemistry , volume =

    Utsumi, Yasuhiro and Kato, Takemitsu and Entin-Wohlman, Ora and Aharony, Amnon , title =. Israel Journal of Chemistry , volume =. doi:https://doi.org/10.1002/ijch.202200107 , url =

    work page doi:10.1002/ijch.202200107

  26. [26]

    The Journal of Chemical Physics , volume =

    Kato, Takemitsu and Utsumi, Yasuhiro and Entin-Wohlman, Ora and Aharony, Amnon , title =. The Journal of Chemical Physics , volume =. 2023 , month =. doi:10.1063/5.0160051 , url =

    work page doi:10.1063/5.0160051 2023

  27. [27]

    The European Physical Journal Special Topics , year =

    Kato, Takemitsu and Utsumi, Yasuhiro and Entin-Wohlman, Ora and Aharony, Amnon , title =. The European Physical Journal Special Topics , year =

  28. [28]

    Fundamental limitations in Lindblad descriptions of systems weakly coupled to baths , author =. Phys. Rev. A , volume =. 2022 , month =. doi:10.1103/PhysRevA.105.032208 , url =

    work page doi:10.1103/physreva.105.032208 2022

  29. [29]

    Proceedings of the National Academy of Sciences , volume =

    Ai-Min Guo and Qing-Feng Sun , title =. Proceedings of the National Academy of Sciences , volume =. 2014 , doi =

    2014

  30. [30]

    , title =

    Fransson, J. , title =. The Journal of Physical Chemistry Letters , volume =. 2019 , doi =

    2019

  31. [31]

    Spin-Selective Transport of Electrons in DNA Double Helix , author =. Phys. Rev. Lett. , volume =. 2012 , month =. doi:10.1103/PhysRevLett.108.218102 , url =

    work page doi:10.1103/physrevlett.108.218102 2012

  32. [32]

    B. G\". Spin selectivity in electron transmission through self-assembled monolayers of double-stranded DNA. Science. 2011. doi:10.1126/science.1199339

    work page doi:10.1126/science.1199339 2011

  33. [33]

    and Paltiel, Yossi and Naaman, Ron and Waldeck, David H

    Bloom, Brian P. and Paltiel, Yossi and Naaman, Ron and Waldeck, David H. , title =. Chemical Reviews , volume =. 2024 , doi =

    2024

  34. [34]

    Nano Letters , volume =

    Fransson, Jonas , title =. Nano Letters , volume =. 2021 , doi =

    2021

  35. [35]

    and Sessoli, Roberta and Carretta, Stefano , title =

    Chiesa, Alessandro and Privitera, Alberto and Macaluso, Emilio and Mannini, Matteo and Bittl, Robert and Naaman, Ron and Wasielewski, Michael R. and Sessoli, Roberta and Carretta, Stefano , title =. Advanced Materials , volume =. doi:https://doi.org/10.1002/adma.202300472 , url =

    work page doi:10.1002/adma.202300472

  36. [36]

    APL Computational Physics , volume =

    Fransson, Jonas , title =. APL Computational Physics , volume =. 2025 , month =. doi:10.1063/5.0289548 , url =

    work page doi:10.1063/5.0289548 2025

  37. [37]

    Chae, Kyunghee and Mohamad, Nur Aqlili Riana Che and Kim, Jeonghyeon and Won, Dong-Il and Lin, Zhiqun and Kim, Jeongwon and Kim, Dong Ha , title=. Chem. Soc. Rev. , year=. doi:10.1039/D3CS00316G , url=

    work page doi:10.1039/d3cs00316g

  38. [38]

    Advanced Materials , pages =

    Highly Efficient and Tunable Filtering of Electrons' Spin by Supramolecular Chirality of Nanofiber-Based Materials , author =. Advanced Materials , pages =. 2020 , month =. doi:10.1002/adma.201904965 , volume=

    work page doi:10.1002/adma.201904965 2020

  39. [39]

    The Journal of Physical Chemistry C , volume =

    Das, Tapan Kumar and Tassinari, Francesco and Naaman, Ron and Fransson, Jonas , title =. The Journal of Physical Chemistry C , volume =. 2022 , doi =

    2022

  40. [40]

    Journal of the American Chemical Society , volume =

    Zhang, Dan-Yang and Sang, Yutao and Das, Tapan Kumar and Guan, Zhao and Zhong, Ni and Duan, Chun-Gang and Wang, Wei and Fransson, Jonas and Naaman, Ron and Yang, Hai-Bo , title =. Journal of the American Chemical Society , volume =. 2023 , doi =

    2023

  41. [41]

    Dynamical theory of chiral-induced spin selectivity in electron donor--chiral molecule--acceptor systems , author =. Phys. Rev. B , volume =. 2025 , month =. doi:10.1103/PhysRevB.111.205417 , url =

    work page doi:10.1103/physrevb.111.205417 2025

  42. [42]

    , journal =

    Fransson, J. , journal =. 2020 , month =. doi:10.1103/PhysRevB.102.235416 , url =

    work page doi:10.1103/physrevb.102.235416 2020

  43. [43]

    Journal of the American Chemical Society , volume =

    Rodríguez, Rafael and Naranjo, Cristina and Kumar, Anil and Matozzo, Paola and Das, Tapan Kumar and Zhu, Qirong and Vanthuyne, Nicolas and Gómez, Rafael and Naaman, Ron and Sánchez, Luis and Crassous, Jeanne , title =. Journal of the American Chemical Society , volume =. 2022 , doi =

    2022

  44. [44]

    and Majumder, Subrata and Ruiz-Carretero, Amparo , title =

    Hong, Kyeong-Im and Kumar, Abhinandan and Garcia, Ana M. and Majumder, Subrata and Ruiz-Carretero, Amparo , title =. The Journal of Chemical Physics , volume =. 2023 , month =. doi:10.1063/5.0164825 , url =

    work page doi:10.1063/5.0164825 2023

  45. [45]

    Ray and S

    K. Ray and S. P. Ananthavel and D. H. Waldeck and R. Naaman , title =. Science , volume =. 1999 , doi =

    1999

  46. [46]

    Sturdy spin-momentum locking in a chiral organic superconductor , author =. Phys. Rev. Res. , volume =. 2025 , month =. doi:10.1103/PhysRevResearch.7.023056 , url =

    work page doi:10.1103/physrevresearch.7.023056 2025

  47. [47]

    and Copley, Graeme and Young, Ryan M

    Eckvahl, Hannah J. and Copley, Graeme and Young, Ryan M. and Krzyaniak, Matthew D. and Wasielewski, Michael R. , title =. Journal of the American Chemical Society , volume =. 2024 , doi =

    2024

  48. [48]

    Eckvahl and Nikolai A

    Hannah J. Eckvahl and Nikolai A. Tcyrulnikov and Alessandro Chiesa and Jillian M. Bradley and Ryan M. Young and Stefano Carretta and Matthew D. Krzyaniak and Michael R. Wasielewski , title =. Science , volume =. 2023 , doi =

    2023

  49. [49]

    Latawiec and Alessandro Chiesa and Yunfan Qiu and Nikolai A

    Elisabeth I. Latawiec and Alessandro Chiesa and Yunfan Qiu and Nikolai A. Tcyrulnikov and Ryan M. Young and Stefano Carretta and Matthew D. Krzyaniak and Michael R. Wasielewski , title =. Proceedings of the National Academy of Sciences , volume =. 2025 , doi =

    2025

  50. [50]

    , title =

    Seibel, Christopher and Soh, Jia Hao and Zilberg, Shmuel and Krylov, Anna I. , title =. The Journal of Physical Chemistry Letters , volume =. 2025 , doi =

    2025

  51. [51]

    2024 , month =

    Xu, Meng and Chen, Yan , journal =. 2024 , month =. doi:10.1103/PhysRevB.110.235145 , url =

    work page doi:10.1103/physrevb.110.235145 2024

  52. [52]

    Göhler and V

    B. Göhler and V. Hamelbeck and T. Z. Markus and M. Kettner and G. F. Hanne and Z. Vager and R. Naaman and H. Zacharias , title =. Science , volume =. 2011 , doi =

    2011

  53. [53]

    and Mishra, Debabrata and Naaman, Ron , title =

    Rosenberg, Richard A. and Mishra, Debabrata and Naaman, Ron , title =. Angewandte Chemie International Edition , volume =. doi:https://doi.org/10.1002/anie.201501678 , year =

    work page doi:10.1002/anie.201501678

  54. [54]

    2018 , doi =

    Chirality-Dependent Electron Spin Filtering by Molecular Monolayers of Helicenes , journal =. 2018 , doi =

    2018

  55. [55]

    Ghosh, K. B. and Zhang, Wenyan and Tassinari, F. and Mastai, Y. and Lidor-Shalev, O. and Naaman, R. and M. The Journal of Physical Chemistry C , volume =. 2019 , doi =

    2019

  56. [56]

    Spin-Polarized Photoemission from Chiral CuO Catalyst Thin Films , journal =

    M. Spin-Polarized Photoemission from Chiral CuO Catalyst Thin Films , journal =. 2022 , doi =

    2022

  57. [57]

    doi:10.20944/preprints202603.2520.v1 , url =

    Alberta Carella and Francesco Rossella and Claudio Fontanesi , title =. doi:10.20944/preprints202603.2520.v1 , url =

    work page doi:10.20944/preprints202603.2520.v1

  58. [58]

    Bloom and Anna R

    Brian P. Bloom and Anna R. Waldeck and David H. Waldeck , title =. Proceedings of the National Academy of Sciences , volume =. 2022 , doi =

    2022

  59. [59]

    Theories of Chiral-Induced Spin Selectivity: A Pedagogical Overview

    Nuomin, Hanggai and Charyshnikova, Zinaida and Song, Feng-Feng and Sun, Rui and Nabei, Yoji and Singh, Niven and Terai, Kiriko and Zhang, Peng and Sun, Dali and Beratan, David N. Theories of Chiral-Induced Spin Selectivity: A Pedagogical Overview. Annual Review of Physical Chemistry. 2026. doi:https://doi.org/10.1146/annurev-physchem-083122-125320

    work page doi:10.1146/annurev-physchem-083122-125320 2026

  60. [60]

    Koyel Banerjee-Ghosh and Oren Ben Dor and Francesco Tassinari and Eyal Capua and Shira Yochelis and Amir Capua and See-Hun Yang and Stuart S. P. Parkin and Soumyajit Sarkar and Leeor Kronik and Lech Tomasz Baczewski and Ron Naaman and Yossi Paltiel , title =. Science , volume =. 2018 , doi =

    2018

  61. [61]

    2026 , eprint=

    Connection between the GKSL master equation and the Landauer formula , author=. 2026 , eprint=

    2026