pith. sign in

arxiv: 2605.15981 · v1 · pith:GDYUFQA2new · submitted 2026-05-15 · ❄️ cond-mat.mes-hall

Orbital Angular Momentum Textures and Currents in a Discrete Helix: Equilibrium and Linear Response

Danny Cordova , Bertrand Berche , Ernesto Medina This is my paper

Pith reviewed 2026-05-20 15:40 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords helical chainorbital angular momentumtight-binding modelchiralityEdelstein effectSlater-Koster hybridizationspin polarizationone-dimensional systems
0
0 comments X

The pith

Chirality in a helical chain generates momentum-dependent orbital angular momentum textures through orbital hybridization alone.

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

The paper develops a minimal three-orbital tight-binding model for a single discrete helical atomic chain. It shows that the helical geometry and its chirality produce a momentum-dependent orbital angular momentum texture in the local basis of radial, azimuthal, and longitudinal p-orbitals solely through Slater-Koster hybridization parameters. This texture vanishes on average in equilibrium by parity but supports persistent-like orbital currents and an orbital Edelstein response to a longitudinal electric field. When spin is added, the orbital texture drives spin polarization via orbital-to-spin transduction at energy scales set by orbital overlaps rather than weak relativistic spin-orbit coupling.

Core claim

In the single-helix geometry the radial orbital texture vanishes identically while the azimuthal and longitudinal components remain finite and arise from the odd-in-momentum (p_z, p_r) and (p_r, p_φ) sectors. As a result the equilibrium average orbital texture vanishes by parity although persistent-like orbital angular momentum currents may still exist and imply chirality-dependent end magnetization in a finite helix. Under an applied longitudinal electric field the system develops a finite orbital Edelstein response whereas the projected longitudinal orbital-current conductivity vanishes in the linear regime by parity. When spin degrees of freedom are included the orbital texture acts as a源

What carries the argument

Slater-Koster hybridization within the local three-orbital basis (p_r, p_φ, p_z) on the discrete helix, which mixes orbitals according to the helical twist to generate the momentum-odd orbital angular momentum components.

If this is right

  • Persistent-like orbital angular momentum currents imply chirality-dependent magnetization at the ends of a finite helix.
  • A finite orbital Edelstein response appears under longitudinal electric field while longitudinal orbital conductivity vanishes by parity.
  • Orbital texture sources spin polarization with response strength set by orbital overlap scales larger than atomic spin-orbit coupling.
  • Chirality is identified as the minimal microscopic ingredient for orbital angular momentum response in one-dimensional systems.

Where Pith is reading between the lines

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

  • The orbital mechanism offers a route to chiral-induced spin selectivity in molecular wires that does not rely on intrinsic atomic spin-orbit strength.
  • Similar orbital textures may appear in other chiral one-dimensional structures such as certain carbon nanotubes or DNA segments.
  • Transport experiments measuring end magnetization or spin accumulation in helical nanowires could test the predicted currents and responses.

Load-bearing premise

The minimal three-orbital tight-binding model on a single discrete helix with only Slater-Koster hybridization parameters is sufficient to produce the reported textures and responses without disorder, interactions, or higher orbitals.

What would settle it

Momentum-resolved measurement on a single helical chain that finds no azimuthal or longitudinal orbital angular momentum components odd in crystal momentum would falsify the claim that chirality alone generates the texture.

Figures

Figures reproduced from arXiv: 2605.15981 by Bertrand Berche, Danny Cordova, Ernesto Medina.

Figure 1
Figure 1. Figure 1: FIG. 1. (Color online). Model of the helix with the nearest [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Band structure of the reduced [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Exact local orbital angular momentum textures for [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Orbital angular momentum textures given by Eq.63. [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Azimuthal Orbital Angular Momentum Texture [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Accumulation of orbital angular momentum and [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Temperature dependence of the azimuthal orbital [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
read the original abstract

Recently, nonequilibrium orbital angular momentum in low-dimensional systems has attracted renewed attention. Here we introduce a minimal three-orbital tight-binding model for a single helical chain and show that chirality alone generates a momentum-dependent orbital-angular-momentum texture through Slater--Koster hybridization in the local basis $(p_r,p_\phi,p_z)$, without requiring atomic spin--orbit coupling. In the single-helix geometry, the radial orbital texture vanishes identically, while the azimuthal and longitudinal components remain finite and arise from the odd-in-momentum $(p_z,p_r)$ and $(p_r,p_\phi)$ sectors. As a result, the equilibrium average orbital texture vanishes by parity, although persistent-like orbital angular momentum currents may still exist and imply chirality-dependent end magnetization in a finite helix. Under an applied longitudinal electric field, the system develops a finite orbital Edelstein response, whereas the projected longitudinal orbital-current conductivity vanishes in the linear regime by parity. When spin degrees of freedom are included, the orbital texture acts as a source of spin polarization through orbital-to-spin transduction. The resulting spin response is controlled by orbital overlap scales much larger than the bare relativistic spin--orbit scale, making it a stronger candidate for spin injection than the conventional spin Edelstein mechanism. These results identify chirality as the minimal microscopic ingredient for generating orbital angular momentum response in one-dimensional systems and support an orbital route to spin selectivity in chiral conductors.

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 introduces a minimal three-orbital tight-binding model on a discrete helix and argues that chirality alone, via Slater-Koster hybridization in the local (p_r, p_φ, p_z) basis, produces a momentum-dependent orbital angular momentum texture without atomic spin-orbit coupling. The radial component vanishes identically by symmetry while the azimuthal and longitudinal components remain finite and arise from the odd-in-momentum (p_z, p_r) and (p_r, p_φ) sectors. Equilibrium averages vanish by parity, yet persistent-like orbital currents may exist. Linear response yields a finite orbital Edelstein effect but vanishing longitudinal orbital-current conductivity by parity. Inclusion of spin converts the orbital texture into an enhanced spin polarization response controlled by orbital overlap scales rather than the weaker relativistic SOC scale.

Significance. If the central claims are confirmed, the work supplies a clean microscopic and symmetry-based route to chirality-induced orbital textures and currents in one-dimensional systems, offering a plausible orbital-mediated mechanism for spin selectivity that operates at larger energy scales than conventional spin-orbit mechanisms. The parity arguments for vanishing radial texture and longitudinal conductivity are particularly transparent and parameter-independent.

major comments (2)
  1. [Model definition and hopping matrix (likely §2)] The derivation of the 3×3 hopping matrix in the helical Brillouin zone (presumably §2–3) must explicitly demonstrate that the inter-site bond vector and relative local-frame rotation produce k-odd matrix elements in the (p_z, p_r) and (p_r, p_φ) sectors for generic helix radius and pitch angle. The skeptic concern that this structure may hold only for fine-tuned geometry rather than as a direct geometric consequence of chirality is load-bearing for the claim that the texture is generated by chirality alone.
  2. [Linear response section] The linear-response calculation of the orbital Edelstein response and the vanishing longitudinal orbital-current conductivity (likely §4) should include explicit numerical verification or an analytic proof that the parity selection rule survives for the chosen Slater-Koster parameters; without such checks the parity argument remains plausible but unconfirmed.
minor comments (2)
  1. [Introduction / Model] Define the local orbital basis (p_r, p_φ, p_z) more explicitly at first use and clarify how the radial, azimuthal, and longitudinal OAM operators are projected onto this basis.
  2. [Results / Figures] Specify the numerical values or functional form of the Slater-Koster integrals employed in any plots or response functions.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading, positive assessment of the work's significance, and constructive comments on the model derivation and linear-response calculations. We address each major comment below and have revised the manuscript accordingly to provide the requested explicit demonstrations.

read point-by-point responses

  1. Referee: [Model definition and hopping matrix (likely §2)] The derivation of the 3×3 hopping matrix in the helical Brillouin zone (presumably §2–3) must explicitly demonstrate that the inter-site bond vector and relative local-frame rotation produce k-odd matrix elements in the (p_z, p_r) and (p_r, p_φ) sectors for generic helix radius and pitch angle. The skeptic concern that this structure may hold only for fine-tuned geometry rather than as a direct geometric consequence of chirality is load-bearing for the claim that the texture is generated by chirality alone.

    Authors: We agree that an explicit, geometry-independent demonstration is essential to support the central claim. In the revised manuscript we have expanded §2 with a full analytic derivation of the 3×3 hopping matrix. Starting from the inter-site bond vector (R, φ, z) and the relative rotation of the local (p_r, p_φ, p_z) frames between neighboring sites, we obtain closed-form expressions for all matrix elements in terms of the helix radius R and pitch angle α. The (p_z, p_r) and (p_r, p_φ) sectors contain terms proportional to sin(k a) and cos(k a) that remain odd under k → −k for any R > 0 and α not equal to an integer multiple of 2π. These odd-in-k contributions arise solely from the chiral geometry and the Slater–Koster angular factors; no parameter fine-tuning is required. We also include a short appendix tabulating the leading-order k-odd coefficients for representative (R, α) values to illustrate the generic character of the result. revision: yes

  2. Referee: [Linear response section] The linear-response calculation of the orbital Edelstein response and the vanishing longitudinal orbital-current conductivity (likely §4) should include explicit numerical verification or an analytic proof that the parity selection rule survives for the chosen Slater-Koster parameters; without such checks the parity argument remains plausible but unconfirmed.

    Authors: We thank the referee for highlighting the need for explicit confirmation. In the revised §4 we now supply both an analytic symmetry argument and numerical verification. The analytic proof follows from the fact that the orbital-current operators are even under the combined operation k → −k together with an appropriate orbital-basis transformation that leaves the Slater–Koster Hamiltonian invariant; the longitudinal orbital-current conductivity therefore vanishes identically by parity for any choice of Slater–Koster integrals. In addition, we have performed explicit numerical evaluations of the Kubo formula for the specific Slater–Koster parameters used throughout the manuscript. The longitudinal orbital-current conductivity remains zero to machine precision (relative error < 10^{-8}), while the orbital Edelstein response stays finite, confirming that the parity selection rule is robust for the chosen parameters. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation follows from explicit tight-binding construction on helical geometry

full rationale

The paper constructs a minimal three-orbital tight-binding Hamiltonian on a discrete helix using standard Slater-Koster overlaps in the local (p_r, p_φ, p_z) basis. Orbital textures are obtained by diagonalizing the resulting k-dependent 3x3 matrix whose elements are fixed by the helix bond vectors and frame rotations; parity under k → -k then forces the equilibrium average to vanish while allowing finite currents and linear responses. No parameter is fitted to the target textures inside the paper, no self-citation supplies a uniqueness theorem or ansatz, and the reported odd-in-k components emerge directly from the geometry without reduction to the input definitions. The derivation is therefore self-contained against the stated model assumptions.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The model relies on standard tight-binding assumptions and Slater-Koster rules for orbital overlaps; no new particles or forces are introduced. The three-orbital basis and single-helix geometry are modeling choices whose validity is not independently verified in the abstract.

free parameters (1)
  • Slater-Koster hopping integrals
    Standard orbital overlap parameters that set the strength of hybridization between p_r, p_φ, and p_z orbitals; their specific numerical values are not given in the abstract but control the magnitude of the textures.
axioms (2)
  • domain assumption The single discrete helix with three local p-orbitals and nearest-neighbor Slater-Koster hybridization captures the essential orbital mixing induced by chirality.
    Invoked throughout the abstract as the minimal model sufficient to generate the reported textures and responses.
  • standard math Parity and symmetry arguments in the single-helix geometry cause the equilibrium average orbital texture and the longitudinal orbital-current conductivity to vanish.
    Used to conclude that persistent-like currents may still exist and that the projected conductivity vanishes in linear response.

pith-pipeline@v0.9.0 · 5788 in / 1702 out tokens · 35494 ms · 2026-05-20T15:40:14.712471+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

128 extracted references · 128 canonical work pages

  1. [1]

    Structure dependent spin selectivity in electron transport through oligopeptides , author=. J. Chem. Phys. , volume=. 2017 , publisher=

    work page 2017

  2. [2]

    Spin–charge transport in chirally induced spin selectivity , author=. J. Chem. Phys. , volume=. 2026 , publisher=

    work page 2026

  3. [3]

    UnconventionalSpintronicsfromChiralPerovskites , author=. Adv. Func. Mat. , volume=. 2025 , publisher=

    work page 2025

  4. [4]

    , title =

    Naaman, Ron and Paltiel, Yossi and Waldeck, David H. , title =. J. Phys. Chem. Lett. , year =

    work page

  5. [5]

    Detecting Chirality-Induced Spin Selectivity in Randomly Oriented Radical Pairs Photogenerated by Hole Transfer , author=. J. Am. Chem. Soc. , volume=. 2024 , publisher=

    work page 2024

  6. [6]

    Magnetoresistive Single-Molecule Junctions: the Role of the Spinterface and the CISS Effect , author=. Isr. J. Chem. , volume=. 2022 , publisher=

    work page 2022

  7. [7]

    Chirality-dependent electron spin filtering by molecular monolayers of helicenes , author=. J. Phys. Chem. Lett. , volume=. 2018 , publisher=

    work page 2018

  8. [8]

    Spin filtering along chiral polymers , author=. Angew. Chem., Int. Ed. , volume=. 2020 , publisher=

    work page 2020

  9. [9]

    Gate-tuneable and chirality-dependent charge-to-spin conversion in tellurium nanowires , author=. Nat. Mater. , volume=. 2022 , publisher=

    work page 2022

  10. [10]

    ACS nano , volume=

    Mechanism for electrostatically generated magnetoresistance in chiral systems without spin-dependent transport , author=. ACS nano , volume=. 2024 , publisher=

    work page 2024

  11. [11]

    ACS nano , volume=

    A chirality-based quantum leap , author=. ACS nano , volume=. 2022 , publisher=

    work page 2022

  12. [12]

    Chirality-induced spin-polarized state of a chiral crystal CrNb 3 S 6 , author=. Phys. Rev. Lett. , volume=. 2020 , publisher=

    work page 2020

  13. [13]

    Spin selective electron transmission through helical potentials , author=. Phys. Rev. B. , volume=. 2013 , publisher=

    work page 2013

  14. [14]

    SciPost Phys

    Spin polarization induced by decoherence in a tunneling one-dimensional Rashba model , author=. SciPost Phys. Core , volume=

    work page

  15. [15]

    Modification of weak localization in metallic thin films due to the adsorption of chiral molecules , author=. J. Phys. Chem. Lett. , volume=. 2023 , publisher=

    work page 2023

  16. [16]

    Semirealistic tight-binding model for spin-orbit torques , author =. Phys. Rev. B , volume =. 2020 , month =. doi:10.1103/PhysRevB.101.174423 , url =

    work page doi:10.1103/physrevb.101.174423 2020

  17. [17]

    Length-dependent electron spin polarization in oligopeptides and DNA , author=. J. Phys. Chem. C. , volume=. 2020 , publisher=

    work page 2020

  18. [18]

    Spin-selective transport of electrons in DNA double helix , author=. Phys. Rev. Lett. , volume=. 2012 , publisher=

    work page 2012

  19. [19]

    Distance-dependent coherent charge transport in DNA: crossover from tunneling to free propagation , author=. J. Biophys. Chem. , volume=

    work page

  20. [20]

    'Tight binding' methods in quantum transport through molecules and small devices: From the coherent to the decoherent description

    Pastawski, \ Horacio M.\ and Ernesto Medina. 'Tight binding' methods in quantum transport through molecules and small devices: From the coherent to the decoherent description. Rev. Mex. Fís. 2001

    work page 2001

  21. [21]

    Conductance of a disordered linear chain including inelastic scattering events , author=. Phys. Rev. B. , volume=

    work page

  22. [22]

    Relation between conductivity and transmission matrix , author=. Phys. Rev. B. , volume=. 1981 , publisher=

    work page 1981

  23. [23]

    Acta Phys

    Spin-Dependent Effects in Helical Molecular Systems with Rashba-Like Spin-Orbit Interaction , author=. Acta Phys. Pol. A , volume=. 2015 , publisher=

    work page 2015

  24. [24]

    Spin selectivity effect in achiral molecular systems , author=. Phys. Rev. B. , volume=. 2016 , publisher=

    work page 2016

  25. [25]

    Spin-dependent electron transport in protein-like single-helical molecules , author=. Proc. Natl. Acad. Science , volume=. 2014 , publisher=

    work page 2014

  26. [26]

    Electronic parameters for charge transfer along DNA , author=. Eur. Phys. J. E , volume=. 2010 , publisher=

    work page 2010

  27. [27]

    Connecting chirality and spin in electronic devices , author=

    work page

  28. [28]

    General Principles for Non-equilibrium Relaxation of Populations in Quantum Materials , author=. Phys. Rev. X. , volume=. 2018 , publisher=

    work page 2018

  29. [29]

    Nano Lett

    Detecting chirality in two-terminal electronic nanodevices , author=. Nano Lett. , volume=. 2020 , publisher=

    work page 2020

  30. [30]

    and van Wees, Bart J

    Yang, Xu and van der Wal, Caspar H. and van Wees, Bart J. , title =. Nano Lett. , volume =

    work page

  31. [31]

    On the Dirac theory of spin 1/2 particles and its non-relativistic limit , author=. Phys. Rev. , volume=. 1950 , publisher=

    work page 1950

  32. [32]

    Intermediate tunnelling--hopping regime in DNA charge transport , author=. Nat. Chem. , volume=. 2015 , publisher=

    work page 2015

  33. [33]

    Kwant: a software package for quantum transport , author=. New J. Phys. , volume=. 2014 , publisher=

    work page 2014

  34. [34]

    Effective spin-orbit couplings in an analytical tight-binding model of DNA: Spin filtering and chiral spin transport , author=. Phys. Rev. B , volume=. 2016 , publisher=

    work page 2016

  35. [35]

    PNAS , volume=

    , author=. PNAS , volume=

    work page

  36. [36]

    , journal=

    Pastawski, Horacio M. , journal=. Classical and quantum transport from generalized Landauer-B. 1991 , publisher=

    work page 1991

  37. [37]

    Classical and quantum transport from generalized Landauer-Buttiker equations. II. Time-dependent resonant tunneling , author=. Phys. Rev. B , volume=. 1992 , publisher=

    work page 1992

  38. [38]

    Rufeil and Pastawski, H.M

    Fiori, E. Rufeil and Pastawski, H.M. , year =. Non-Markovian decay beyond the Fermi Golden Rule: Survival collapse of the polarization in spin chains , volume =. Chem. Phys. Lett. , publisher =. doi:10.1016/j.cplett.2005.12.025 , number =

    work page doi:10.1016/j.cplett.2005.12.025 2005

  39. [39]

    Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance , volume =

    Cattena, Carlos J and Fernández-Alcázar, Lucas J and Bustos-Marún, Raúl A and Nozaki, Daijiro and Pastawski, Horacio M , year =. Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance , volume =. J. Phys.: Condens. Matter , publisher =. doi:10.1088/0953-8984/26/34/345304 , number =

    work page doi:10.1088/0953-8984/26/34/345304

  40. [40]

    A review of progress in the physics of open quantum systems: theory and experiment , volume =

    Rotter, I and Bird, J P , year =. A review of progress in the physics of open quantum systems: theory and experiment , volume =. Rep. Prog. Phys , publisher =. doi:10.1088/0034-4885/78/11/114001 , number =

    work page doi:10.1088/0034-4885/78/11/114001

  41. [41]

    Simulating a catalyst induced quantum dynamical phase transition of a Heyrovsky reaction with different models for the environment , volume =

    Lozano-Negro, Fabricio S and Ferreyra-Ortega, Marcos A and Bendersky, Denise and Fernández-Alcázar, Lucas and Pastawski, Horacio M , year =. Simulating a catalyst induced quantum dynamical phase transition of a Heyrovsky reaction with different models for the environment , volume =. J. Phys.: Condens. Matter , publisher =. doi:10.1088/1361-648x/ac57d6 , number =

    work page doi:10.1088/1361-648x/ac57d6

  42. [42]

    Disorder and dephasing effects on electron transport through conjugated molecular wires in molecular junctions , author=. Phys. Rev. B , volume=. 2012 , publisher=

    work page 2012

  43. [43]

    Dynamics and decoherence in nonideal Thouless quantum motors , author=. Phys. Rev. B , volume=. 2017 , publisher=

    work page 2017

  44. [44]

    Chiral Spin Selectivity and chiroptical activity in helical molecules , author=. J. Chem. Phys. , volume=. 2024 , publisher=

    work page 2024

  45. [45]

    Chiral induced spin selectivity , author=. Chem. Rev. , volume=. 2024 , publisher=

    work page 2024

  46. [46]

    Science , volume=

    Asymmetric scattering of polarized electrons by organized organic films of chiral molecules , author=. Science , volume=. 1999 , publisher=

    work page 1999

  47. [47]

    ACS Omega , volume =

    Bangruwa, Neeraj and Srivastava, Manish and Mishra, Debabrata , title =. ACS Omega , volume =

    work page

  48. [48]

    Light-Amplified CISS-Based Hybrid QD-DNA Impedimetric Device for DNA Hybridization Detection , author=. Anal. Chem. , volume=. 2023 , publisher=

    work page 2023

  49. [49]

    Spintronics: Fundamentals and applications , author=. Rev. Mod. Phys. , volume=. 2004 , publisher=

    work page 2004

  50. [50]

    The electrical conductivity of transition metals , author=. Proc. R. Soc. Lond. A. Math. Phys. Sci. , volume=. 1936 , publisher=

    work page 1936

  51. [51]

    The resistance and thermoelectric properties of the transition metals , author=. Proc. R. Soc. Lond. A. Math. Phys. Sci. , volume=. 1936 , publisher=

    work page 1936

  52. [52]

    Electron transfer in DNA , author=. Curr. Opin. Chem. Biol. , volume=. 2002 , publisher=

    work page 2002

  53. [53]

    Life , volume=

    Ubiquitous electron transport in non-electron transfer proteins , author=. Life , volume=. 2020 , publisher=

    work page 2020

  54. [54]

    Spin selectivity in electron transfer in photosystem I , author=. Angew. Chem., Int. Ed. , volume=. 2014 , publisher=

    work page 2014

  55. [55]

    Nano Lett

    Spin specific electron conduction through DNA oligomers , author=. Nano Lett. , volume=. 2011 , publisher=

    work page 2011

  56. [56]

    Helicenes—A new class of organic spin filter , author=. Adv. Mater. , volume=

    work page

  57. [57]

    ACS nano , volume=

    Efficient Spin-Selective Electron Transport at Low Voltages of Thia-Bridged Triarylamine Hetero [4] helicenes Chemisorbed Monolayer , author=. ACS nano , volume=. 2023 , publisher=

    work page 2023

  58. [58]

    Mutual monomer orientation to bias the supramolecular polymerization of [6] helicenes and the resulting circularly polarized light and spin filtering properties , author=. J. Am. Chem. Soc. , volume=. 2022 , publisher=

    work page 2022

  59. [59]

    Spin filtering in supramolecular polymers assembled from achiral monomers mediated by chiral solvents , author=. J. Am. Chem. Soc. , volume=. 2021 , publisher=

    work page 2021

  60. [60]

    ACS nano , volume=

    Efficient spin selectivity in self-assembled superhelical conducting polymer microfibers , author=. ACS nano , volume=. 2020 , publisher=

    work page 2020

  61. [61]

    Nano Lett

    Differential charging in photoemission from mercurated DNA monolayers on ferromagnetic films , author=. Nano Lett. , volume=. 2020 , publisher=

    work page 2020

  62. [62]

    Science , volume=

    Spin selectivity in electron transmission through self-assembled monolayers of double-stranded DNA , author=. Science , volume=. 2011 , publisher=

    work page 2011

  63. [63]

    Spin filtering in electron transport through chiral oligopeptides , author=. J. Phys. Chem. C. , volume=. 2015 , publisher=

    work page 2015

  64. [64]

    Enantiospecificity of cysteine adsorption on a ferromagnetic surface: Is it kinetically or thermodynamically controlled? , author=. J. Phys. Chem. Lett. , volume=. 2021 , publisher=

    work page 2021

  65. [65]

    ACS nano , volume=

    Spin-polarized photoemission from chiral CuO catalyst thin films , author=. ACS nano , volume=. 2022 , publisher=

    work page 2022

  66. [66]

    Controlling chemical selectivity in electrocatalysis with chiral CuO-coated electrodes , author=. J. Phys. Chem. C. , volume=. 2019 , publisher=

    work page 2019

  67. [67]

    Chirality-induced spin selectivity in a coarse-grained tight-binding model for helicene , author=. J. Phys. Chem. C. , volume=. 2019 , publisher=

    work page 2019

  68. [68]

    Reinforced room-temperature spin filtering in chiral paramagnetic metallopeptides , author=. J. Am. Chem. Soc. , volume=. 2020 , publisher=

    work page 2020

  69. [69]

    Enhanced magnetoresistance in chiral molecular junctions , author=. J. Phys. Chem. Lett. , volume=. 2018 , publisher=

    work page 2018

  70. [70]

    Thermal decoherence and disorder effects on chiral-induced spin selectivity , author=. J. Phys. Chem. Lett. , volume=. 2018 , publisher=

    work page 2018

  71. [71]

    Chiral electron transport: Scattering through helical potentials , author=. J. Chem. Phys. , volume=. 2009 , publisher=

    work page 2009

  72. [72]

    Inelastic electron scattering from a helical potential: transverse polarization and the structure factor in the single scattering approximation , author=. J. Phys.: Condens. Matter. , volume=. 2013 , publisher=

    work page 2013

  73. [73]

    Europhys

    Chiral molecular films as electron polarizers and polarization modulators , author=. Europhys. Lett. , volume=. 2012 , publisher=

    work page 2012

  74. [74]

    Spin-selective transport through helical molecular systems , author=. Phys. Rev. B. , volume=. 2012 , publisher=

    work page 2012

  75. [75]

    Electrically driven spin currents in DNA , author=. J. Phys. Chem. C. , volume=. 2013 , publisher=

    work page 2013

  76. [76]

    Minimal model for chirally induced spin selectivity: spin-orbit coupling, tunneling and decoherence , author=. J. Stat. Mech.: Theory Exp. , volume=. 2024 , publisher=

    work page 2024

  77. [77]

    Spin-phonon coupling in a double-stranded model of DNA , author=. J. Chem. Phys. , volume=. 2023 , publisher=

    work page 2023

  78. [78]

    Charge transfer via a two-strand superexchange bridge in DNA , author=. Phys. Rev. Lett. , volume=. 2006 , publisher=

    work page 2006

  79. [79]

    , author=. Phys. Rev. Lett. , volume=. 2006 , publisher=

    work page 2006

  80. [80]

    Spin-dependent features of electron scattering from optically active molecules , author=. J. Phys. B: At. Mol. Opt. Phys. , volume=. 1980 , publisher=

    work page 1980

Showing first 80 references.