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In this manuscript, we present another new thermal scalar and vector gauge potentials implemented by the quantum Boltzmann equation, which originates from the interaction of conduction electrons and phonons. To accomplish this task, we…

Quantum Physics · Physics 2025-07-18 Zheng Chuan Wang

The thermal scalar and vector potential were introduced to investigate the thermal transport under a temperature gradient in terms of linear response theory[1,2]. However, the microscopic origin of these phenomenological thermal potentials…

Statistical Mechanics · Physics 2025-04-15 Zheng-Chuan Wang

A microscopic formalism to calculate thermal transport coefficients is presented based on a thermal vector potential, whose time-derivative is related to a thermal force. The formalism is free from unphysical divergences reported to arise…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Gen Tatara

We present a formula for thermal transport in the bulk of Bose systems based on the quantum Boltzmann equation (QBE). First, starting from the quantum kinetic equation and using the Born approximation for impurity scattering, we derive the…

Mesoscale and Nanoscale Physics · Physics 2021-08-09 Kouki Nakata , Yuichi Ohnuma

The equivalence between thermal field theory and the Boltzmann transport equation is investigated at higher orders in the context of quantum electrodynamics. We compare the contributions obtained from the collisionless transport equation…

High Energy Physics - Theory · Physics 2015-03-04 F. T. Brandt , R. B. Ferreira , J. F. Thuorst

The quantum potential is shown to result from the presence of a subtle thermal vacuum energy distributed across the whole domain of an experimental setup. Explicitly, its form is demonstrated to be exactly identical to the heat distribution…

Quantum Physics · Physics 2009-02-23 Gerhard Groessing

We present a general quantum kinetic theory that accounts for the interplay between a temperature gradient, momentum-space Berry curvatures of Bloch electrons, and Bloch-state scattering. Using a theory that incorporates the presence of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Akihiko Sekine , Naoto Nagaosa

We investigate the second-order nonlinear electronic thermal transport induced by temperature gradient. We develop the quantum kinetic theory framework to describe thermal transport in presence of a temperature gradient. Using this, we…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Harsh Varshney , Kamal Das , Pankaj Bhalla , Amit Agarwal

Conduction of electrons in matter is ultimately described by quantum mechanics. Yet at low frequency or long time scales, low temperature quantum transport is perfectly described by this very simple idea: electrons are emitted by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Karl Thibault , Julien Gabelli , Christian Lupien , Bertrand Reulet

In this work we theoretically study properties of electric current driven by a temperature gradient through a quantum dot/molecule coupled to the source and drain charge reservoirs. We analyze the effect of Coulomb interactions between…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Natalya A. Zimbovskaya

We investigate near-equilibrium ballistic transport through a quantum point contact (QPC) along a GaAs/AlGaAs heterojunction with a transfer matrix technique, as a function of temperature and the shape of the potential barrier in the QPC.…

Mesoscale and Nanoscale Physics · Physics 2013-08-08 Alfredo X. Sánchez , Jean-Pierre Leburton

Classical-like formulas are given in order to evaluate thermal averages of observables belonging to a quantum nonlinear system with dissipation described by the Caldeira-Leggett model [Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N.Y.) 149,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Andrea Rossi , Valerio Tognetti , Ruggero Vaia

In this paper a thermodynamical derivation of the quantum potential is pro- posed. Within the framework of Bohmian mechanics we show how the quantum potential can be derived, by adding an additional informational degree of freedom to the…

Quantum Physics · Physics 2019-06-04 Luca Curcuraci , Mehdi Ramezani

Quantum computing raises the possibility of solving a variety of problems in physics that are presently intractable. A number of such problems involves the physics of systems in or near thermal equilibrium. There are two main ways to…

Quantum Physics · Physics 2023-08-16 Carter Ball , Thomas D. Cohen

In this paper we explore the following question: can the probabilities constituting the quantum Boltzmann distribution, $P^B_n \propto e^{-E_n/kT}$, be derived from a requirement that the quantum configuration-space distribution for a…

Quantum Physics · Physics 2018-08-01 Sam Alterman , Jaeho Choi , Rebecca Durst , Sarah M. Fleming , William K. Wootters

Based on a newly derived microscopic fractional quantum Hall edge model, we study its thermodynamics at finite temperature. For the dressed energy spectrum a critical energy scale determined by the temperature exists, below which the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wenjun Zheng , Yue Yu

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

We consider a transmission of electrons through a two-dimensional ballistic point contact in the low-conductance regime below the 0.7-anomaly. The scattering of electrons by Friedel oscillations of charge density results in a contribution…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Tatiana Krishtop , Kirill Nagaev

Temperature gradients drive asymmetric ion distributions via thermodiffusion (the Soret effect), leading to deviations from the classical Debye--H\"uckel potential.We introduce the Eastman entropy of transfer, $\hat{S}_\pm = \alpha_\pm…

Soft Condensed Matter · Physics 2026-03-24 Kazuhiko Seki

We investigate theoretically quantum transport through the "charge" Kondo circuit consisting of the quantum dot (QD) coupled weakly to an electrode at temperature $T+\Delta T$ and connected strongly to another electrode at the reference…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 T. K. T. Nguyen , M. N. Kiselev
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