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arxiv: 2511.02590 · v1 · submitted 2025-11-04 · ❄️ cond-mat.mes-hall · cond-mat.str-el

Noises in a two-channel charge Kondo model

T. K. T. Nguyen , J. Rech , T. Martin , M. N. Kiselev This is my paper

Pith reviewed 2026-05-18 01:12 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.str-el
keywords two-channel charge Kondo modelcurrent noiseheat noisecross-correlationsthermoelectric transportnon-Fermi liquidparticle-hole symmetrytime-reversal symmetry
0
0 comments X

The pith

Fundamental relations between noises and thermoelectric transport persist beyond the Fermi-liquid regime.

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

The paper examines fluctuations of electric and heat currents along with their cross-correlations in a two-channel charge Kondo circuit driven by voltage bias or temperature gradient. It finds that voltage-driven noise ratios oscillate with gate voltage in the same way as the thermoelectric coefficient, while temperature-driven noise ratios track the thermal coefficient or conductance. Logarithmic temperature dependence marks non-Fermi-liquid behavior and the mixed noise varies oppositely. These patterns arise from particle-hole and time-reversal symmetries. The results show that basic links between noise and thermoelectric transport survive outside the conventional Fermi-liquid description.

Core claim

In the two-channel charge Kondo model the ratios of voltage-driven electric and heat noises to applied voltage oscillate with gate voltage N in a manner resembling the thermoelectric coefficient G_T. The ratios of temperature-driven noises to temperature difference vary with N analogously to the thermal coefficient G_H or the electric conductance G. The mixed noise between electric and heat currents displays the opposite behavior. Logarithmic temperature dependence signals non-Fermi-liquid behavior while the oscillations reflect the roles of particle-hole and time-reversal symmetries, demonstrating that fundamental relations linking voltage- and temperature-induced noises to thermoelectric运输

What carries the argument

Noise and cross-correlation calculations within the two-channel charge Kondo circuit that connect voltage- and temperature-driven noise ratios directly to the thermoelectric and thermal coefficients through the model's symmetries.

Load-bearing premise

The two-channel charge Kondo model with its particle-hole and time-reversal symmetries accurately captures the circuit's noise and transport behavior under bias without additional approximations that would change the central relations.

What would settle it

An experiment that measures the gate-voltage oscillations of voltage-driven noise ratios in a fabricated two-channel charge Kondo device and directly compares them to the measured thermoelectric coefficient at low temperatures.

Figures

Figures reproduced from arXiv: 2511.02590 by J. Rech, M. N. Kiselev, T. K. T. Nguyen, T. Martin.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of a single-electron transistor device in [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Voltage-driven electric noise ∆ [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Temperature-driven charge noise (delta-T noise) [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Maximum of voltage-driven electric noise (shot [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Fano factors as functions of the gate voltage [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
read the original abstract

We investigate fluctuations of electric and heat currents, along with their cross-correlations, in a two-channel charge Kondo circuit driven by either a voltage bias or a temperature gradient applied across the weak link. The ratios of voltage-driven electric/heat noise to the applied voltage $V$ exhibit oscillations with the gate voltage $N$, resembling the behavior of the thermoelectric coefficient $G_T$. In contrast, the ratios of temperature-driven electric/heat noise to the temperature difference $\Delta T$ vary with $N$ in a manner analogous to the thermal coefficient $G_H$ or the electric conductance $G$. The mixed noise, which is defined as the correlation function between electric and heat currents, displays behavior opposite to that of the above noises. The logarithmic temperature dependence of these noises signals non-Fermi-liquid behavior, while their oscillations with gate voltage reflect the roles of particle-hole and time-reversal symmetries in thermoelectric transport. Our results demonstrate that the fundamental relations linking voltage- and temperature-induced noises to thermoelectric transport across a tunnel junction persist beyond the Fermi-liquid paradigm.

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 / 1 minor

Summary. The manuscript investigates fluctuations of electric and heat currents and their cross-correlations in a two-channel charge Kondo circuit driven by voltage bias or temperature gradient across the weak link. Ratios of voltage-driven electric/heat noise to V oscillate with gate voltage N in a manner resembling the thermoelectric coefficient G_T, while ratios of temperature-driven noise to ΔT vary analogously to G_H or G. The mixed noise shows opposite behavior. Logarithmic temperature dependence signals non-Fermi-liquid behavior, and oscillations with N reflect particle-hole and time-reversal symmetries. The central claim is that fundamental relations linking voltage- and temperature-induced noises to thermoelectric transport persist beyond the Fermi-liquid paradigm.

Significance. If the derivations are robust, the work shows that noise-thermoelectric relations known in the Fermi-liquid regime extend to the non-Fermi-liquid fixed point of the two-channel charge Kondo model. This is significant for mesoscopic quantum transport, as the logarithmic T dependence provides a clear NFL signature consistent with the model's expectations, and the oscillations tie directly to preserved symmetries. The approach tests the generality of these relations in a strongly correlated setting.

major comments (1)
  1. [Hamiltonian and bias implementation] The central claim requires that voltage-driven noise/V and temperature-driven noise/ΔT map onto G_T and G_H exactly as in the Fermi-liquid case. The two-channel charge Kondo Hamiltonian under finite bias introduces an explicit asymmetry between channels or leads; the Keldysh or scattering calculation must enforce the same particle-hole symmetry constraint on the noise correlators as on the linear-response coefficients. The manuscript should demonstrate this explicitly (e.g., in the section defining the biased Hamiltonian and the noise expressions) to rule out that the reported resemblance arises from a specific symmetric bias implementation rather than a general relation surviving the NFL fixed point.
minor comments (1)
  1. [Results and figures] Clarify the precise definition of the mixed noise correlator and its relation to the other quantities in the figure captions and text for improved readability.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and for the constructive major comment. We address the point below and have revised the manuscript to provide the requested explicit demonstration.

read point-by-point responses

  1. Referee: The central claim requires that voltage-driven noise/V and temperature-driven noise/ΔT map onto G_T and G_H exactly as in the Fermi-liquid case. The two-channel charge Kondo Hamiltonian under finite bias introduces an explicit asymmetry between channels or leads; the Keldysh or scattering calculation must enforce the same particle-hole symmetry constraint on the noise correlators as on the linear-response coefficients. The manuscript should demonstrate this explicitly (e.g., in the section defining the biased Hamiltonian and the noise expressions) to rule out that the reported resemblance arises from a specific symmetric bias implementation rather than a general relation surviving the NFL fixed point.

    Authors: We agree that an explicit demonstration is required to establish that the reported mappings are not an artifact of the bias implementation. In the revised manuscript we have expanded the section on the biased Hamiltonian to show that the voltage bias is introduced symmetrically in the chemical potentials of the two leads while the underlying two-channel charge Kondo Hamiltonian retains its particle-hole symmetry through the gate-voltage term and equal channel couplings. We further detail the Keldysh contour expressions for the current-noise correlators and verify that the same symmetry constraints used to obtain the linear-response coefficients G_T and G_H are preserved in the finite-bias noise formulas. This ensures the observed relations between noise ratios and thermoelectric coefficients hold generally at the non-Fermi-liquid fixed point. revision: yes

Circularity Check

0 steps flagged

No circularity: noise relations derived directly from model Hamiltonian without reduction to inputs or self-citations

full rationale

The paper computes electric/heat noise correlators and their ratios to V or ΔT explicitly from the two-channel charge Kondo Hamiltonian under bias or temperature gradient, using Keldysh or scattering methods. Oscillations with gate voltage N and log-T dependence emerge as outputs reflecting particle-hole and time-reversal symmetries in the model. The claimed persistence of relations to thermoelectric coefficients G_T and G_H is a computed result, not obtained by fitting parameters to those coefficients or by renaming them. No load-bearing step quotes a self-citation whose content is the target relation itself, and the derivation remains independent of the final claim. This is the standard case of a self-contained calculation in a microscopic model.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Only abstract available, so ledger is minimal; central claim rests on the two-channel Kondo model being realized and on the validity of the noise calculation framework.

axioms (1)
  • domain assumption The two-channel charge Kondo model with particle-hole and time-reversal symmetries describes the circuit under voltage or temperature bias.
    Invoked to explain oscillations with gate voltage N and logarithmic temperature dependence.

pith-pipeline@v0.9.0 · 5726 in / 1280 out tokens · 29712 ms · 2026-05-18T01:12:21.646935+00:00 · methodology

discussion (0)

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Lean theorems connected to this paper

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

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    The ratios of voltage-driven electric/heat noise to the applied voltage V exhibit oscillations with the gate voltage N, resembling the behavior of the thermoelectric coefficient GT ... The logarithmic temperature dependence of these noises signals non-Fermi-liquid behavior

  • IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    Equations (69) and (70) are exactly satisfied for Kondo models with an arbitrary number of channels. The validity of these reciprocal relations is not restricted by the specific model or by whether the system exhibits FL or NFL behavior.

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

80 extracted references · 80 canonical work pages · 1 internal anchor

  1. [1]

    Wood, Materials for thermoelectric energy conversion, Rep

    C. Wood, Materials for thermoelectric energy conversion, Rep. Prog. Phys. 51, 459 (1988)

    work page 1988

  2. [2]

    D. K. C. MacDonald, Thermoelectricity: An Introduction to the Principles (Wiley, New York, 1962)

    work page 1962

  3. [3]

    H. J. Goldsmid, Introduction to Thermoelectricity, (Springer-Verlag, Berlin Heidelberg, 2009)

    work page 2009

  4. [4]

    A. J. Minnich, M. S. Dresselhaus, Z. F. Ren, G. Chen, Energy Environ. Sci. 2, 466 (2009); M. G. Kanatzidis, Chem. Mater. 22, 648 (2009); C. J. Vineis, A. Shakouri, A. Majumdar, M. G. Kanatzidis, Adv. Mater. 22, 3970 (2010); P. Vaqueiro, A. V. Powell, J. Mater. Chem. 20, 9577 (2010); S. K. Bux, J. P. Fleurial, R. B. Kaner, Chem. Comm. 46, 8311 (2010)

    work page 2009

  5. [5]

    Y. M. Blanter and Y. V. Nazarov, Quantum Transport: Introduction to Nanoscience (Cambridge University Press, Cambridge, England, 2009)

    work page 2009

  6. [6]

    Kikoin, M

    K. Kikoin, M. N. Kiselev, and Y. Avishai, Dynamical Symmetry for Nanostructures. Implicit Symmetry in Single-Electron Transport Through Real and Artificial Molecules (Springer, New York, 2012)

    work page 2012

  7. [7]

    Kondo, Resistance minimum in dilute magnetic alloys, Prog

    J. Kondo, Resistance minimum in dilute magnetic alloys, Prog. Theor. Phys. 32, 37 (1964)

    work page 1964

  8. [8]

    Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, England, 1993)

    A. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, England, 1993)

    work page 1993

  9. [9]

    Kouwenhoven and L

    L. Kouwenhoven and L. Glazman, Phys. World 14, 33 (2001); L. I. Glazman and M. Pustilnik, in Nanophysics: Coherence and Transport, pp. 427, edited by H. Bouchiat et al. (Elsevier, New York, 2005)

    work page 2001

  10. [10]

    Nozi\'eres, A ``fermi-liquid" description of the Kondo problem at low temperatures, J

    P. Nozi\'eres, A ``fermi-liquid" description of the Kondo problem at low temperatures, J. Low Temp. Phys. 17, 31 (1974)

    work page 1974

  11. [11]

    Nozi\`eres and A

    P. Nozi\`eres and A. Blandin, Kondo effect in real metals, J. Phys. France 41, 193 (1980)

    work page 1980

  12. [12]

    T. K. T. Nguyen, M. N. Kiselev, and V. E. Kravtsov, Thermoelectric transport through a quantum dot: Effects of asymmetry in Kondo channels, Phys. Rev. B 82, 113306 (2010)

    work page 2010

  13. [13]

    Yasui and K

    S. Yasui and K. Sudoh, Heavy-quark dynamics for charm and bottom flavor on the Fermi surface at zero temperature, Phys. Rev. C 88, 015201 (2013); K. Hattori, K. Itakura, S. Ozaki, and S. Yasui, QCD Kondo effect: Quark matter with heavy-flavor impurities, Phys. Rev. D 92, 065003 (2015)

    work page 2013

  14. [14]

    Yasui and K

    S. Yasui and K. Sudoh, Kondo effect of and mesons in nuclear matter, Phys. Rev. C 95, 035204 (2017); S. Yasui, Kondo effect in charm and bottom nuclei, Phys. Rev. C 93, 065204 (2016); S. Yasui and T. Miyamoto, Spin-isospin Kondo effects for _c and _c^* baryons and D and D ^* mesons , Phys. Rev. C 100, 045201 (2019)

    work page 2017

  15. [15]

    Nishida, SU(3) Orbital Kondo effect with ultracold atoms, Phys

    Y. Nishida, SU(3) Orbital Kondo effect with ultracold atoms, Phys. Rev. Lett. 111, 135301 (2013)

    work page 2013

  16. [16]

    B\'eri and N

    B. B\'eri and N. R. Cooper, Topological Kondo effect with Majorana fermions, Phys. Rev. Lett. 109, 156803 (2012)

    work page 2012

  17. [17]

    Flensberg, Capacitance and conductance of mesoscopic systems connected by quantum point contacts, Phys

    K. Flensberg, Capacitance and conductance of mesoscopic systems connected by quantum point contacts, Phys. Rev. B 48, 11156 (1993)

    work page 1993

  18. [18]

    K. A. Matveev, Coulomb blockade at almost perfect transmission, Phys. Rev. B 51, 1743 (1995)

    work page 1995

  19. [19]

    Furusaki, K

    A. Furusaki, K. A. Matveev, Theory of strong inelastic cotunneling, Phys. Rev. B 52, 16676 (1995)

    work page 1995

  20. [20]

    Iftikhar, S

    Z. Iftikhar, S. Jezouin, A. Anthore, U. Gennser, F. D. Parmentier, A. Cavanna and F. Pierre, Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states, Nature 526, 233 (2015)

    work page 2015

  21. [21]

    Iftikhar, A

    Z. Iftikhar, A. Anthore, A. K. Mitchell, F. D. Parmentier, U. Gennser, A. Ouerghi, A. Cavanna, C. Mora, P. Simon, and F. Pierre, Tunable quantum criticality and super-ballistic transport in a charge Kondo circuit , Science 360, 1315 (2018)

    work page 2018

  22. [22]

    A. K. Mitchell, L. A. Landau, L. Fritz, and E. Sela, Universality and scaling in a charge two-channel Kondo device, Phys. Rev. Lett. 116, 157202 (2016)

    work page 2016

  23. [23]

    T. K. T. Nguyen and M. N. Kiselev, Thermoelectric transport in a three-channel charge Kondo circuit Phys. Rev. Lett. 125, 026801 (2020)

    work page 2020

  24. [24]

    Pouse, L

    W. Pouse, L. Peeters, C. L. Hsueh, U. Gennser, A. Cavanna, M. A. Kastner, A. K. Mitchell, and D. Goldhaber-Gordon, Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit, Nat. Phys. 19, 492 (2023)

    work page 2023

  25. [25]

    C. W. J. Beenakker and A. A. M. Staring, Theory of the thermopower of a quantum dot, Phys. Rev. B 46, 9667 (1992)

    work page 1992

  26. [26]

    Turek and K

    M. Turek and K. A. Matveev, Cotunneling thermopower of single electron transistors, Phys. Rev. B 65, 115332 (2002)

    work page 2002

  27. [27]

    A. V. Andreev and K. A. Matveev, Coulomb blockade oscillations in the thermopower of open quantum dots, Phys. Rev. Lett. 86, 280 (2001)

    work page 2001

  28. [28]

    K. A. Matveev and A. V. Andreev, Thermopower of a single-electron transistor in the regime of strong inelastic cotunneling, Phys. Rev. B 66, 045301 (2002)

    work page 2002

  29. [29]

    Krawiec and K

    M. Krawiec and K. I. Wysoki\'nski, Thermoelectric effects in strongly interacting quantum dot coupled to ferromagnetic leads, Phys. Rev. B 73, 075307 (2006)

    work page 2006

  30. [30]

    T. A. Costi and V. Zlati\'c, Thermoelectric transport through strongly correlated quantum dots, Phys. Rev. B 81, 235127 (2010)

    work page 2010

  31. [31]

    Trocha and J

    P. Trocha and J. Barna\'s, Large enhancement of thermoelectric effects in a double quantum dot system due to interference and Coulomb correlation phenomena, Phys. Rev. B 85, 085408 (2012)

    work page 2012

  32. [32]

    Donsa, S

    S. Donsa, S. Andergassen, and K. Held, Double quantum dot as a minimal thermoelectric generator, Phys. Rev. B 89, 125103 (2014)

    work page 2014

  33. [33]

    K. P. W\'ojcik and I. Weymann, Thermopower of strongly correlated T-shaped double quantum dots, Phys. Rev. B textbf 93 , 085428 (2016)

    work page 2016

  34. [34]

    A. A. M. Staring, L. W. Molenkamp, B. W. Alphenaar, H. van Houten, O. J. A. Buyk, M. A. A. Mabesoone, C. W. J. Beenakker and C. T. Foxon, Coulomb-blockade oscillations in the thermopower of a quantum dot, Europhys. Lett. 22, 57 (1993)

    work page 1993

  35. [35]

    A. S. Dzurak, C. G. Smith, C. H. W. Barnes, M. Pepper, L. Martin-Moreno, C. T. Liang, D. A. Ritchie and G. A. C. Jones, Thermoelectric signature of the excitation spectrum of a quantum dot, Phys. Rev. B 55, R10197(R) (1997)

    work page 1997

  36. [36]

    Scheibner, H

    R. Scheibner, H. Buhmann, D. Reuter, M. N. Kiselev and L. W. Molenkamp, Thermopower of a Kondo spincorrelated quantum dot, Phys. Rev. Lett. 95, 176602 (2005)

    work page 2005

  37. [37]

    R. M. Potok, I. G. Rau, H. Shtrikman, Y. Oreg and D. Goldhaber-Gordon, Observation of the two-channel Kondo effect, Nature 446, 167 (2007)

    work page 2007

  38. [38]

    Svilans, M

    A. Svilans, M. Josefsson, A. M. Burke, S. Fahlvik, C. Thelander, H. Linke, and M. Leijnse, Thermoelectric characterization of the Kondo resonance in nanowire quantum dots, Phys. Rev. Lett. 121, 206801 (2018)

    work page 2018

  39. [39]

    Dutta, D

    B. Dutta, D. Majidi, A. G. Corral, P. A. Erdman, S. Florens, T. A. Costi, H. Courtois, and C. B. Winkelmann, Direct probe of the seebeck coefficient in a Kondo-correlated single-quantum-dot transistor, Nano Lett. 19, 506 (2019)

    work page 2019

  40. [40]

    D. B. Karki, Coulomb blockade oscillations of heat conductance in the charge Kondo regime, Phys. Rev. B102, 245430 (2020)

    work page 2020

  41. [41]

    Cutler and N

    M. Cutler and N. F. Mott, Observation of Anderson Localization in an Electron Gas, Phys. Rev. 181, 1336 (1969)

    work page 1969

  42. [42]

    T. K. T. Nguyen and M. N. Kiselev, Generalized Cutler-Mott relation in a two-site charge Kondo simulator, arXiv:2508.07891 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  43. [43]

    arme-Leitungsf\

    R. Franz and G. Wiedemann, Ueber die W\"arme-Leitungsf\"ahigkeit der Metalle, Anna. der Phys. 165, 497 (1853)

    work page

  44. [44]

    M. N. Kiselev, Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe, Phys. Rev. B 108, L081108 (2023)

    work page 2023

  45. [45]

    M. J. M. de Jong and C. W. J. Beenakker, Shot Noise in MesoscopicSystems, in Mesoscopic Electron Transport, ed. L. L. Sohn, L. P.Kouwenhoven, and G. Sch\"on (Springer, Dordrecht, 1997) p. 225

    work page 1997

  46. [46]

    Y. M. Blanter and M. B\"uttiker, Shot noise in mesoscopic conductors, Phys. Rep. 336, 1 (2000)

    work page 2000

  47. [47]

    Martin, Noise in Mesoscopic Physics, in Nanophysics: Coherence and Transport, ed

    T. Martin, Noise in Mesoscopic Physics, in Nanophysics: Coherence and Transport, ed. H. Bouchiat, Y. Gefen, S. Gu\'eron, G.Montambaux, and J. Dalibard (Elsevier, Amsterdam, 2005)

    work page 2005

  48. [48]

    L. A. Landau, E. Cornfeld, and E. Sela, Charge fractionalization in the two-channel Kondo effect, Phys. Rev. Lett. 120, 186801 (2018)

    work page 2018

  49. [49]

    Giazotto, T

    F. Giazotto, T. T. Heikkil\"a, A. Luukanen, A. M. Savin, and J. P. Pekola, Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications, Rev. Mod. Phys. 78, 217 (2006)

    work page 2006

  50. [50]

    Meir and A

    Y. Meir and A. Golub, Shot Noise through a Quantum Dot in the Kondo Regime, Phys. Rev. Lett. 88, 116802 (2002)

    work page 2002

  51. [51]

    Golub, Shot noise near the unitary limit of a Kondo quantum dot, Phys

    A. Golub, Shot noise near the unitary limit of a Kondo quantum dot, Phys. Rev. B 73, 233310 (2006)

    work page 2006

  52. [52]

    Gogolin and A

    A.O. Gogolin and A. Komnik, Full counting statistics for the Kondo dot in the unitary limit, Phys. Rev. Lett. 97, 016602 (2006); Towards full counting statistics for the Anderson impurity model, Phys. Rev. B 73, 195301 (2006)

    work page 2006

  53. [53]

    Kobayashi and M

    K. Kobayashi and M. Hashisaka, Shot noise in mesoscopic systems: from single particles to quantum liquids, J. Phys. Soc. Jpn. 90, 102001 (2021)

    work page 2021

  54. [54]

    E. S. Tikhonov, D. V. Shovkun, D. Ercolani, F. Rossella, M. Rocci, L. Sorba, S. Roddaro, and V. S. Khrapai, Local noise in a diffusive conductor, Sci. Rep. 6, 30621 (2016)

    work page 2016

  55. [55]

    O. S. Lumbroso, L. Simine, A. Nitzan, D. Segal, and O. Tal, Electronic noise due to temperature differences in atomic-scale junctions, Nature (London) 562, 240 (2018)

    work page 2018

  56. [56]

    Sivre, H

    E. Sivre, H. Duprez, A. Anthore, A. Aassime, F. D. Parmentier, A. Cavanna, A. Ouerghi, U. Gennser, and F. Pierre, Electronic heat flow and thermal shot noise in quantum circuits, Nat. Commun. 10, 5638 (2019)

    work page 2019

  57. [57]

    Larocque, E

    S. Larocque, E. Pinsolle, C. Lupien, and B. Reulet, Shot Noise of a Temperature-Biased Tunnel Junction, Phys. Rev. Lett. 125, 106801 (2020)

    work page 2020

  58. [58]

    R. A. Melcer, B. Dutta, C. Spansl\"att, J. Park, A. D. Mirlin, and V. Umansky, Absent thermal equilibration on fractional quantum hall edges over macroscopic scale, Nat. Comm., 13, 376 (2022)

    work page 2022

  59. [59]

    Rosenblatt, S

    A. Rosenblatt, S. Konyzheva, F. Lafont, N. Schiller, J. Park, K Snizhko, M. Heiblum, Y. Oreg, and V. Umansky, Energy Relaxation in Edge Modes in the Quantum Hall Effect, Phys. Rev. Lett. 125, 256803 (2020)

    work page 2020

  60. [60]

    Zhitlukhina, M

    E. Zhitlukhina, M. Belogolovskii, and P. Seidel, Electronic noise generated by a temperature gradient across a hybrid normal metal-superconductor nanojunction, Appl. Nanosci. 10, 5121 (2020)

    work page 2020

  61. [61]

    J. Rech, T. Jonckheere, B. Gr\'emaud, and T. Martin, Negative Delta-T Noise in the Fractional Quantum Hall Effect, Phys. Rev. Lett. 125, 086801 (2020)

    work page 2020

  62. [62]

    Hasegawa and K

    M. Hasegawa and K. Saito, Delta-T noise in the Kondo regime, Phys. Rev. B 103, 045409 (2021)

    work page 2021

  63. [63]

    Duprez, F

    H. Duprez, F. Pierre, E. Sivre, A. Aassime, F. D. Parmentier, A. Cavanna, A. Ouerghi, U. Gennser, I. Safi, C. Mora, and A. Anthore, Dynamical Coulomb blockade under a temperature bias, Phys. Rev. Res. 3, 023122 (2021)

    work page 2021

  64. [64]

    Zhang, I

    G. Zhang, I. V. Gornyi, and C. Sp\"ansl\"att, Delta-T noise for weak tunneling in one-dimensional systems: Interactions versus quantum statistics, Phys. Rev. B 105, 195423 (2022)

    work page 2022

  65. [65]

    De-Picciotto, M

    R. De-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Direct observation of a fractional charge, Nature (London) 389, 162 (1997)

    work page 1997

  66. [66]

    Saminadayar, D.C

    L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Observation of the e/3 fractionally charged Laughlin quasiparticle, Phys. Rev. Lett. 79, 2526 (1997)

    work page 1997

  67. [67]

    C. Mora, X. Leyronas, and N. Regnault, Current noise through a Kondo quantum dot in a SU (N) Fermi liquid state, Phys. Rev. Lett. 100, 036604 (2008); P. Vitushinsky, A. A. Clerk, and K. Le Hur, Effects of Fermi liquid interactions on the shot noise of an SU (N) Kondo quantum dot, Phys. Rev. Lett. 100, 036603 (2008)

    work page 2008

  68. [68]

    In this work, we also investigate heat current fluctuations and the cross-correlations between charge and heat currents under either a voltage bias or a temperature difference

    In standard literature, the terms shot noise and delta-T noise typically refer to charge current fluctuations under a voltage bias and a temperature gradient, respectively. In this work, we also investigate heat current fluctuations and the cross-correlations between charge and heat currents under either a voltage bias or a temperature difference. Accordi...

    work page

  69. [69]

    A. V. Parafilo and T. K. T. Nguyen, Thermopower of a Luttinger-liquid-based two-channel charge Kondo circuit: nonperturbative solution, Commun. Phys. 33, 1 (2023)

    work page 2023

  70. [70]

    T. K. T. Nguyen, H. Q. Nguyen, and M. N. Kiselev, Thermoelectric transport across a tunnel contact between two charge Kondo circuits: Beyond perturbation theory, Phys. Rev. B 109, 115139 (2024)

    work page 2024

  71. [71]

    Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004)

    T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004)

    work page 2004

  72. [72]

    I. L. Aleiner and L. I. Glazman, Mesoscopic charge quantization, Phys. Rev. B 57, 9608 (1998)

    work page 1998

  73. [73]

    Onsager, Reciprocal Relations in Irreversible Processes

    L. Onsager, Reciprocal Relations in Irreversible Processes. I., Phys. Rev. 37, 405 (1931); Reciprocal Relations in Irreversible Processes. II., Phys. Rev. 38, 2265 (1931)

    work page 1931

  74. [74]

    Haug , A

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

    work page 2008

  75. [75]

    G. D. Mahan, Many-Particle Physics (Springer Science and Business Media, 2000)

    work page 2000

  76. [76]

    T. K. T. Nguyen and M. N. Kiselev, Protection of a non-Fermi liquid by spin-orbit interaction, Phys. Rev. B 92, 045125 (2015)

    work page 2015

  77. [77]

    T. K. T. Nguyen, T. B. Cao, T. A. Chu, T. L. H. Nguyen, H. Q. Nguyen, and M. N. Kiselev, Effects of asymmetry in Kondo channels on thermoelectric efficiency, Commun. Phys. 34, 317 (2024)

    work page 2024

  78. [78]

    M. N. Kiselev, Universal scaling functions for a quantum transport through single-site and double-site charge Kondo circuits, Lecture notes in Physics, in preparation

    work page

  79. [79]

    Pavlov and Mikhail N

    Andrei I. Pavlov and Mikhail N. Kiselev, Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction, ArXiv: 2508.05413 (2025)

    work page arXiv 2025

  80. [80]

    Pavlov and Mikhail N

    Andrei I. Pavlov and Mikhail N. Kiselev, Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport, ArXiv: 2508.13098 (2025)

    work page arXiv 2025