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arxiv: 2606.17865 · v1 · pith:73IO64SQnew · submitted 2026-06-16 · ❄️ cond-mat.mes-hall

Chirality-induced spin selectivity without intrinsic spin-orbit coupling: Role of current-induced molecular orbital moment

Sumit Ghosh , Angela Wittmann , Frank Matthes , Daniel E. B\"urgler This is my paper

Pith reviewed 2026-06-26 22:57 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords chirality-induced spin selectivitymolecular orbital momentCISSmagnetoresistancemagnetochiral anisotropyhelical moleculesgauge fieldOnsager reciprocity
0
0 comments X

The pith

Current circulation in molecular loops generates a molecular orbital moment whose direction tracks molecular handedness and produces CISS effects without intrinsic spin-orbit coupling.

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

The paper develops an alternative account of chirality-induced spin selectivity in which charge current flowing through the loops of a distorted helical molecule creates a molecular orbital moment. The moment's direction is fixed by a gauge field set by the structural handedness, so opposite enantiomers produce opposite moments. This moment yields finite magnetoresistance and magnetochiral conductance asymmetries that remain even functions of bias voltage and therefore obey Onsager-Casimir reciprocity. The same moment can be shifted by gate voltage or bias, causing the current-voltage curves of the two enantiomers to cross at additional points, and the framework also recovers electrical magnetochiral anisotropy as a direct consequence.

Core claim

The circulation of charge current in molecular loops generates a molecular orbital moment whose direction is governed by the gauge field arising from the structural distortion of the molecule and is therefore associated with the molecule's handedness. This moment produces finite CISS magnetoresistance and magnetochiral conductance asymmetries that are even in bias voltage without violating Onsager-Casimir reciprocity relations. Depending on the Fermi level and bias voltage the moment can be tuned externally, resulting in additional crossings of the enantiomer I-V curves. The same construction accounts for electrical magnetochiral anisotropy.

What carries the argument

Molecular orbital moment (MOM) generated by charge-current circulation in molecular loops, with its direction fixed by the gauge field of the structural distortion and therefore locked to molecular handedness.

If this is right

  • CISS magnetoresistance remains finite and even in bias voltage.
  • Magnetochiral conductance asymmetries are likewise even in bias voltage.
  • Onsager-Casimir reciprocity is preserved because the moment reverses with both current and handedness.
  • External tuning of Fermi level or bias produces additional crossings between the I-V curves of opposite enantiomers.
  • Electrical magnetochiral anisotropy emerges as a direct consequence of the same orbital-moment mechanism.

Where Pith is reading between the lines

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

  • The mechanism suggests CISS can appear in any chiral conductor that supports closed current loops, even when atomic spin-orbit coupling is negligible.
  • Gate control of the moment offers a route to electrically switch the sign of spin selectivity in a single device.
  • Disrupting loop closure while preserving chirality should suppress the predicted CISS signatures, providing a direct experimental test.
  • The same orbital-moment picture may unify molecular CISS with related effects in chiral crystals or metamaterials that carry circulating currents.

Load-bearing premise

Circulating charge current in the loops of a structurally distorted chiral molecule produces an orbital moment whose direction is set by a gauge field that follows the molecule's handedness.

What would settle it

Measurement of bias-even CISS magnetoresistance in a gated helical-molecule junction whose current path forms closed loops, contrasted with the absence of the effect when the loops are broken or the handedness is reversed.

Figures

Figures reproduced from arXiv: 2606.17865 by Angela Wittmann, Daniel E. B\"urgler, Frank Matthes, Sumit Ghosh.

Figure 1
Figure 1. Figure 1: FIG. 1. Variation of the bond lengths and corresponding gauge fields in the right- and left-handed [7]H enantiomer and schematic [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Different contributions to the MOM and their impact on MChA and [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 ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Gauge field and current flow in the 4 [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. MOM, MChA and [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
read the original abstract

The microscopic origin of the chirality-induced spin selectivity (CISS) in helical molecules remains an open question. Recent experiments suggest that a significant contribution to CISS arises from the molecule itself, which is disregarded in existing interfacial or scattering based theories. Here we present an alternative theory of CISS to address this molecular contribution. The mechanism is based on the circulation of charge current in molecular loops that generates a molecular orbital moment (MOM). The direction of the MOM is governed by the gauge field arising from the structural distortion of the molecule and is associated with the handedness of the molecule. Such a MOM can produce finite CISS magnetoresistance and magnetochiral conductance asymmetries that are even in bias voltage, without violating the Onsager-Casimir reciprocity relations. Depending on the Fermi level and bias voltage, the MOM can be controlled externally, which can result in additional crossings of the enantiomer $I-V$ curves. Finally we explain the origin of the electrical magnetochiral anisotropy within the same framework, which establishes its generic applicability.

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 / 1 minor

Summary. The manuscript proposes an alternative theory for chirality-induced spin selectivity (CISS) in helical molecules, attributing the effect to current circulation in molecular loops that generates a molecular orbital moment (MOM). The MOM direction is governed by a gauge field arising from structural distortion and is associated with molecular handedness. This is claimed to produce finite CISS magnetoresistance and magnetochiral conductance asymmetries even in bias voltage, without intrinsic spin-orbit coupling or violating Onsager-Casimir reciprocity. The work further discusses external control of the MOM via Fermi level and bias (leading to enantiomer I-V curve crossings) and explains electrical magnetochiral anisotropy within the same framework.

Significance. If the central derivation holds, the result would provide a molecular-intrinsic mechanism for CISS that addresses experimental indications of molecule-specific contributions overlooked by interfacial/scattering theories. It offers a route to even-in-bias asymmetries while respecting reciprocity and avoiding intrinsic SOC, with potential for external control and broader applicability to magnetochiral effects. The framework is falsifiable via bias-dependent I-V crossings and could be tested against existing CISS data.

major comments (2)
  1. [Abstract / mechanism section] Abstract and § on mechanism: The association of the gauge field from structural distortion with molecular handedness (which fixes MOM direction and enables chiral transport asymmetries) is stated directly but lacks an explicit microscopic derivation or Hamiltonian term showing how the gauge field arises from the distortion and reverses with enantiomer without an implicit SOC-like contribution. This link is load-bearing for the central claim of CISS without intrinsic SOC.
  2. [Transport section] Section on transport asymmetries: The claim that the MOM produces finite even-in-bias CISS magnetoresistance and magnetochiral conductance without violating Onsager-Casimir relations requires showing that the MOM-induced spin coupling respects reciprocity by construction; the manuscript should provide the explicit current-MOM coupling term and demonstrate the even-bias property from the equations rather than asserting it.
minor comments (1)
  1. [Notation] Notation for the gauge field and MOM should be defined consistently with standard electromagnetic conventions to avoid ambiguity in how the handedness association enters.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and constructive comments. We address each major comment below and indicate the revisions planned.

read point-by-point responses

  1. Referee: [Abstract / mechanism section] Abstract and § on mechanism: The association of the gauge field from structural distortion with molecular handedness (which fixes MOM direction and enables chiral transport asymmetries) is stated directly but lacks an explicit microscopic derivation or Hamiltonian term showing how the gauge field arises from the distortion and reverses with enantiomer without an implicit SOC-like contribution. This link is load-bearing for the central claim of CISS without intrinsic SOC.

    Authors: We agree that an explicit microscopic derivation would strengthen the central claim. In the revised manuscript we will add a dedicated subsection deriving the gauge field from the helical structural distortion via an effective geometric-phase term in the Hamiltonian. This term is constructed from the molecular geometry alone and reverses sign under enantiomer exchange through the change in helix handedness, without reference to spin-orbit coupling. The derivation will be placed immediately after the mechanism overview. revision: yes

  2. Referee: [Transport section] Section on transport asymmetries: The claim that the MOM produces finite even-in-bias CISS magnetoresistance and magnetochiral conductance without violating Onsager-Casimir relations requires showing that the MOM-induced spin coupling respects reciprocity by construction; the manuscript should provide the explicit current-MOM coupling term and demonstrate the even-bias property from the equations rather than asserting it.

    Authors: We accept the point that an explicit derivation is preferable to assertion. The revised transport section will introduce the current-MOM coupling Hamiltonian explicitly and then derive the even-in-bias magnetoresistance and magnetochiral asymmetry directly from the resulting Landauer-Büttiker expressions, confirming that Onsager-Casimir reciprocity holds because the MOM is an orbital (time-reversal even) quantity. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained as a proposed mechanism

full rationale

The paper introduces a mechanism in which current circulation generates a MOM whose direction is tied to molecular handedness via a gauge field from structural distortion. This association is presented as the foundational premise enabling CISS effects without intrinsic SOC. No equations, fitted parameters, or self-citations are exhibited in the text that would reduce the central predictions (finite even-in-bias magnetoresistance and magnetochiral asymmetries) to the inputs by construction. The result follows from the stated assumptions rather than re-expressing them, satisfying the criteria for an independent theoretical proposal.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review; the central claim rests on the existence of a current-induced MOM whose direction is set by a gauge field from molecular distortion. No explicit free parameters, axioms, or invented entities are enumerated in the abstract.

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  1. Large CISS Polarization from the Hierarchy Between Transport and Geometrical Spin Currents

    physics.chem-ph 2026-06 unverdicted novelty 4.0

    Large CISS polarization is interpreted as transport selection from underlying geometrical spin-current states whose intrinsic scale exceeds measured currents in dsDNA.

Reference graph

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