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arxiv: 2605.23725 · v1 · pith:RBDKSH4Vnew · submitted 2026-05-22 · ❄️ cond-mat.mes-hall

Nonreciprocal conductance in uniformly dissipative devices

Oliver Solow , Emil J. Bergholtz , Karsten Flensberg This is my paper

Pith reviewed 2026-05-25 03:09 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords nonreciprocal conductancedissipative circuitsRashba nanowiretransmission timesnon-Hermitian systemsinterferencemesoscopic transport
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0 comments X

The pith

Uniformly dissipative circuits can exhibit nonreciprocal conductance through differences in electron transmission times.

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

The paper sets out to establish that nonreciprocal conductance, with different values measured in opposite directions, can occur even when dissipation is uniform across a device. This would matter if true because most known sources of directional transport rely on built-in asymmetry or varying loss rates, so uniform dissipation alone opening this possibility would broaden the range of systems that could produce such effects. The authors focus on a Rashba nanowire under a skewed magnetic field to show how interference inside the circuit makes left-moving and right-moving electrons take different times to cross, producing the conductance difference. The size of the effect changes as the dissipation strength is varied.

Core claim

Uniformly dissipative circuits can exhibit nonreciprocal conductance, meaning that the two nonlocal conductances are different. This happens through a difference in transmission times between left-moving and right-moving electrons. In the specific case of a dissipative Rashba nanowire with a skewed magnetic field, the difference in transmission times arises through interference inside the circuit and is modified as the dissipation strength changes.

What carries the argument

Difference in transmission times between left-moving and right-moving electrons arising from interference in the uniformly dissipative circuit.

If this is right

  • The two nonlocal conductances become unequal even though dissipation is uniform.
  • The conductance asymmetry is controlled by the strength of the uniform dissipation.
  • The transmission time difference is generated by interference inside the nanowire.
  • The nonreciprocity appears in the specific combination of Rashba spin-orbit coupling and skewed magnetic field.

Where Pith is reading between the lines

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

  • Similar time-difference mechanisms could appear in other mesoscopic structures that combine uniform loss with spin-orbit and magnetic terms.
  • The effect offers a route to directional transport without requiring spatially varying dissipation or external gates.
  • Varying the dissipation parameter provides a direct experimental knob to tune the size of the nonreciprocity.

Load-bearing premise

The specific Rashba nanowire geometry with skewed magnetic field produces a clean difference in transmission times via interference without other scattering or boundary effects equalizing the times.

What would settle it

Measurement showing identical nonlocal conductances in both directions, or identical transmission times for left-moving and right-moving electrons, in a dissipative Rashba nanowire with skewed field.

Figures

Figures reproduced from arXiv: 2605.23725 by Emil J. Bergholtz, Karsten Flensberg, Oliver Solow.

Figure 1
Figure 1. Figure 1: FIG. 1. (a)A schematic of the nanowire in red connected to [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. The nonreciprocity parameter ∆ [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. ∆ [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
read the original abstract

When studying non-Hermitian electronic systems, an obvious question is how various non-Hermitian effects affect measurable quantities like the conductance. Here, we show that uniformly dissipative circuits can exhibit nonreciprocal conductance, meaning that the two nonlocal conductances are different. We describe how this happens through a difference in transmission times between left-moving and right-moving electrons. We consider a specific case of a dissipative Rashba nanowire with a skewed magnetic field, and show how this difference in transmission times comes about through interference inside the circuit, and how this is modified as the dissipation strength changes.

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

1 major / 0 minor

Summary. The manuscript claims that uniformly dissipative circuits can exhibit nonreciprocal conductance (i.e., the two nonlocal conductances differ) through a difference in transmission times between left-moving and right-moving electrons. This is illustrated via interference in the specific case of a dissipative Rashba nanowire with a skewed magnetic field, with the time difference modified by the strength of dissipation.

Significance. If the central derivation holds, the result would establish a concrete mechanism by which uniform dissipation alone, combined with Rashba spin-orbit coupling and a skewed field, produces measurable nonreciprocity via transmission-time asymmetry. This is of interest for non-Hermitian mesoscopic transport and could motivate experiments in nanowire devices.

major comments (1)
  1. [Abstract] The abstract states a mechanism but supplies no equations, error estimates, or checks against limiting cases. Without the full derivation it is impossible to judge whether the claimed time difference follows rigorously or rests on unstated approximations. This is load-bearing for the central claim.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their review. We address the single major comment below, noting that the full manuscript contains the requested derivation and checks.

read point-by-point responses

  1. Referee: [Abstract] The abstract states a mechanism but supplies no equations, error estimates, or checks against limiting cases. Without the full derivation it is impossible to judge whether the claimed time difference follows rigorously or rests on unstated approximations. This is load-bearing for the central claim.

    Authors: Abstracts in this field are conventionally equation-free to ensure broad readability. The rigorous derivation of the transmission-time asymmetry (arising from interference in the uniformly dissipative Rashba nanowire with skewed field) is given in full in the main text, including explicit expressions for the left- and right-moving transmission amplitudes, the resulting time difference, and its dependence on dissipation strength. We explicitly check the limiting cases of zero dissipation (where reciprocity is recovered) and vanishing field skew (where the time difference vanishes), confirming that the nonreciprocity is a direct consequence of the stated mechanism with no additional approximations beyond the standard Landauer-Büttiker scattering formalism used throughout. revision: no

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained

full rationale

The paper derives nonreciprocal conductance from a concrete model of uniform dissipation in a Rashba nanowire with skewed magnetic field, where interference produces unequal left/right transmission times. No equations, fitted parameters, or self-citations are invoked in the abstract or described claims to reduce the result to its inputs by construction. The mechanism is presented as a direct consequence of the geometry and dissipation, with no load-bearing reliance on prior author work or renaming of known results. This is the most common honest finding for a well-posed theoretical prediction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard quantum-transport assumptions plus the specific choice of uniform dissipation and Rashba-plus-skewed-field geometry. No free parameters, ad-hoc axioms, or invented entities are named in the abstract.

axioms (2)
  • standard math Standard scattering theory applies to the non-Hermitian Hamiltonian of the dissipative nanowire.
    Implicit in any conductance calculation for a mesoscopic wire.
  • domain assumption Uniform dissipation can be modeled by a constant imaginary potential or equivalent non-Hermitian term.
    Required for the 'uniformly dissipative' premise stated in the abstract.

pith-pipeline@v0.9.0 · 5620 in / 1385 out tokens · 32307 ms · 2026-05-25T03:09:32.838381+00:00 · methodology

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Reference graph

Works this paper leans on

39 extracted references · 4 canonical work pages · 2 internal anchors

  1. [1]

    Ashida, Z

    Y. Ashida, Z. Gong, and M. Ueda, Non-Hermitian Physics, Advances in Physics69, 249 (2020), 2006.01837

    work page arXiv 2020

  2. [2]

    T. E. Lee, Anomalous Edge State in a Non-Hermitian Lattice, Physical Review Letters116, 133903 (2016)

    2016

  3. [3]

    Xiong, Why does bulk boundary correspondence fail in some non-hermitian topological models, Journal of Physics Communications2, 035043 (2018)

    Y. Xiong, Why does bulk boundary correspondence fail in some non-hermitian topological models, Journal of Physics Communications2, 035043 (2018)

    2018

  4. [4]

    Yao and Z

    S. Yao and Z. Wang, Edge States and Topological Invari- ants of Non-Hermitian Systems, Physical Review Letters 121, 086803 (2018). 6

    2018

  5. [5]

    F. K. Kunst, E. Edvardsson, J. C. Budich, and E. J. Bergholtz, Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems, Physical Review Letters121, 026808 (2018)

    2018

  6. [6]

    Okuma, K

    N. Okuma, K. Kawabata, K. Shiozaki, and M. Sato, Topological Origin of Non-Hermitian Skin Effects, Phys- ical Review Letters124, 086801 (2020)

    2020

  7. [7]

    Zhang, Z

    K. Zhang, Z. Yang, and C. Fang, Correspondence be- tween Winding Numbers and Skin Modes in Non- Hermitian Systems, Physical Review Letters125, 126402 (2020)

    2020

  8. [8]

    J. T. Gohsrich, A. Banerjee, and F. K. Kunst, The non- Hermitian skin effect: A perspective, Europhysics Letters 150, 60001 (2025)

    2025

  9. [9]

    Kokhanchik, D

    P. Kokhanchik, D. Solnyshkov, and G. Malpuech, Non- Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling, Physical Review B108, L041403 (2023)

    2023

  10. [10]

    H. Geng, J. Y. Wei, M. H. Zou, L. Sheng, W. Chen, and D. Y. Xing, Nonreciprocal charge and spin trans- port induced by non-Hermitian skin effect in mesoscopic heterojunctions, Physical Review B107, 035306 (2023)

    2023

  11. [11]

    Pay´ a, O

    C. Pay´ a, O. Solow, E. Prada, R. Aguado, and K. Flens- berg, Non-Hermitian skin effect and electronic nonlocal transport, Physical Review B113, L161405 (2026)

    2026

  12. [12]

    Ochkan, R

    K. Ochkan, R. Chaturvedi, V. K¨ onye, L. Veyrat, R. Gi- raud, D. Mailly, A. Cavanna, U. Gennser, E. M. Han- kiewicz, B. B¨ uchner, J. van den Brink, J. Dufouleur, and I. C. Fulga, Non-Hermitian topology in a multi-terminal quantum Hall device, Nature Physics20, 395 (2024)

    2024

  13. [13]

    Chaturvedi, I

    R. Chaturvedi, I. C. Fulga, J. van den Brink, and E. M. Hankiewicz, Non-Hermitian topology of quantum spin- Hall systems to detect edge-state polarization (2026), 2602.12048

    work page arXiv 2026

  14. [14]

    E. J. Bergholtz, J. C. Budich, and F. K. Kunst, Ex- ceptional topology of non-Hermitian systems, Reviews of Modern Physics93, 015005 (2021)

    2021

  15. [15]

    P. W. Brouwer and C. W. J. Beenakker, Voltage- probe and imaginary-potential models for dephasing in a chaotic quantum dot, Physical Review B55, 4695 (1997)

    1997

  16. [16]

    R. C. Dynes, V. Narayanamurti, and J. P. Garno, Di- rect Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor, Physical Review Letters41, 1509 (1978)

    1978

  17. [17]

    Eberlein, W

    A. Eberlein, W. Metzner, S. Sachdev, and H. Yamase, Fermi Surface Reconstruction and Drop in the Hall Num- ber due to Spiral Antiferromagnetism in High- T c Cuprates, Physical Review Letters117, 187001 (2016)

    2016

  18. [18]

    Kontani, T

    H. Kontani, T. Tanaka, and K. Yamada, Intrinsic anoma- lous Hall effect in ferromagnetic metals studied by the multi-$d$-orbital tight-binding model, Physical Review B75, 184416 (2007)

    2007

  19. [19]

    Mitscherling, Longitudinal and anomalous Hall con- ductivity of a general two-band model, Physical Review B102, 165151 (2020)

    J. Mitscherling, Longitudinal and anomalous Hall con- ductivity of a general two-band model, Physical Review B102, 165151 (2020)

    2020

  20. [20]

    Verret, O

    S. Verret, O. Simard, M. Charlebois, D. S´ en´ echal, and A.-M. S. Tremblay, Phenomenological theories of the low- temperature pseudogap: Hall number, specific heat, and Seebeck coefficient, Physical Review B96, 125139 (2017)

    2017

  21. [21]

    I. L. Giovannelli and S. M. Anlage, Physical Interpreta- tion of Imaginary Time Delay, Physical Review Letters 135, 043801 (2025)

    2025

  22. [22]

    Chen and S

    L. Chen and S. M. Anlage, Use of transmission and re- flection complex time delays to reveal scattering matrix poles and zeros: Example of the ring graph, Physical Re- view E105, 054210 (2022)

    2022

  23. [23]

    L. Chen, I. L. Giovannelli, N. Shaibe, and S. M. An- lage, Asymmetric transmission through a classical ana- logue of the Aharonov-Bohm ring, Physical Review B 110, 045103 (2024)

    2024

  24. [24]

    Shaibe, J

    N. Shaibe, J. M. Erb, and S. M. Anlage, Superuniver- sal Statistics of Complex Time Delays in Non-Hermitian Scattering Systems, Physical Review Letters134, 147203 (2025)

    2025

  25. [25]

    For our purposes, it is important to distinguish these two effects

    Some papers, e.g [27, 34], use ”nonreciprocity” to indi- cate a nonlinear effect. For our purposes, it is important to distinguish these two effects

  26. [26]

    Michishita and N

    Y. Michishita and N. Nagaosa, Dissipation and geometry in nonlinear quantum transports of multiband electronic systems, Physical Review B106, 125114 (2022)

    2022

  27. [27]

    T. Anan, S. Kitamura, and T. Morimoto, Nonreciprocal current induced by dissipation in time-reversal symmetric systems (2026), 2604.04520

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  28. [28]

    Tsirkin and I

    S. Tsirkin and I. Souza, On the separation of Hall and Ohmic nonlinear responses, SciPost Physics Core5, 039 (2022)

    2022

  29. [29]

    H. J. Haug and A.-P. Jauho,Quantum Kinetics in Trans- port and Optics of Semiconductors, Solid-State Sciences, Vol. 123 (Springer Berlin Heidelberg, Berlin, Heidelberg, 2008)

    2008

  30. [30]

    C. W. J. Beenakker and P. W. Brouwer, Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity, Physica E: Low-dimensional Systems and Nanos- tructures9, 463 (2001), cond-mat/9908325

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  31. [31]

    Landauer and Th

    R. Landauer and Th. Martin, Barrier interaction time in tunneling, Reviews of Modern Physics66, 217 (1994)

    1994

  32. [32]

    H. G. Winful, Tunneling time, the Hartman effect, and superluminality: A proposed resolution of an old para- dox, Physics Reports436, 1 (2006)

    2006

  33. [33]

    T. E. Hartman, Tunneling of a Wave Packet, Journal of Applied Physics33, 3427 (1962)

    1962

  34. [34]

    M. H. Zou, H. Geng, R. Ma, W. Chen, L. Sheng, and D. Y. Xing, Nonreciprocal ballistic transport in asym- metric bands, Physical Review B109, 155302 (2024)

    2024

  35. [35]

    San-Jose, Pablosanjose/Quantica.jl: Release v1.2.0, Zenodo (2025)

    P. San-Jose, Pablosanjose/Quantica.jl: Release v1.2.0, Zenodo (2025)

    2025

  36. [36]

    Mahaux and H

    C. Mahaux and H. A. Weidenmueller,Shell-Model Ap- proach to Nuclear Reactions(North- Holland Publishing, Amsterdam, Netherlands, 1969)

    1969

  37. [37]

    D. C. Brody, Biorthogonal quantum mechanics, Journal of Physics A: Mathematical and Theoretical47, 035305 (2014)

    2014

  38. [38]

    Araya Day, A

    I. Araya Day, A. L. R. Manesco, M. Wimmer, and A. R. Akhmerov, Identifying biases of the Majorana scattering invariant, SciPost Physics Core8, 047 (2025)

    2025

  39. [39]

    Solow, Nonreciprocal conductance in uniformly dissi- pative devices: Code for figures, Zenodo (2026)

    O. Solow, Nonreciprocal conductance in uniformly dissi- pative devices: Code for figures, Zenodo (2026)

    2026