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Thermoelectric transport is traditionally analyzed using relations imposed by time-reversal symmetry, ranging from Onsager's results to fluctuation relations in counting statistics. In this paper, we show that a recently discovered duality…

Mesoscale and Nanoscale Physics · Physics 2017-12-07 Jens Schulenborg , Angelo Di Marco , Joren Vanherck , Maarten R. Wegewijs , Janine Splettstoesser

Quantum decoherence is seen as an undesired source of irreversibility that destroys quantum resources. Quantum coherences seem to be a property that vanishes at thermodynamic equilibrium. Away from equilibrium, quantum coherences challenge…

Quantum Physics · Physics 2013-08-13 César A. Rodríguez-Rosario , Thomas Frauenheim , Alán Aspuru-Guzik

We study thermal and charge transport in a three-terminal setup consisting of one superconducting and two ferromagnetic contacts. We predict that the simultaneous presence of spin filtering and of spin- dependent scattering phase shifts at…

Mesoscale and Nanoscale Physics · Physics 2013-01-30 P. Machon , M. Eschrig , W. Belzig

The principle of microscopic reversibility is a fundamental element in the formulation of fluctuation relations and the Onsager reciprocal relations. As such, a clear description of whether and how this principle is adapted to the quantum…

Quantum Physics · Physics 2023-10-25 K. Khan , W. F. Magalhaes , Jailson S. Araujo , B. de Lima Bernardo , Gabriel H. Aguilar

Reciprocal relations correlate fairly accurately a great variety of experimental results. Nevertheless, the concepts of statistical fluctuations, and microscopic reversibility - the bases of the accepted proof of the relations by Onsager -…

Chemical Physics · Physics 2007-05-23 Elias P. Gyftopoulos

Nonlinear transport coefficients do not obey, in general, reciprocity relations. We here discuss the magnetic-field asymmetries that arise in thermoelectric and heat transport of mesoscopic systems. Based on a scattering theory of weakly…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 Sun-Yong Hwang , David Sánchez , Minchul Lee , Rosa López

Modern quantum experiments provide examples of transport with non-commuting quantities, offering a tool to understand the interplay between thermal and quantum effects. Here we set forth a theory for non-Abelian transport in the linear…

Quantum Physics · Physics 2022-01-10 Gonzalo Manzano , Juan M. R. Parrondo , Gabriel T. Landi

We investigate the Thomson-Onsager relation between the spin-dependent Seebeck and spin-dependent Peltier effect. To maintain identical device and measurement conditions we measure both effects in a single…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 F. K. Dejene , J. Flipse , B. J. van Wees

The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and particles. Entropy production and Onsager relations are…

Mathematical Physics · Physics 2007-05-23 Juerg Froehlich , Marco Merkli , Daniel Ueltschi

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving…

Statistical Mechanics · Physics 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar

We investigate the thermodynamic uncertainty relations (TURs) in steady-state transport for a multi-terminal system consisting of two conducting terminals and N-2 probe terminals, within the linear response regime under broken time-reversal…

Statistical Mechanics · Physics 2026-01-07 Yanchao Zhang , Xinzhi Liu , Xiaolong Lü , Shanhe Su

Thermodynamic uncertainty relations (TURs) represent a benchmark result in nonequilibrium physics that allows to place fundamental lower bounds on the noise-to-signal ratio (precision) of currents in nanoscale devices. Originally formulated…

Quantum Physics · Physics 2025-01-24 Andre M. Timpanaro , Giacomo Guarnieri , Gabriel T. Landi

We introduce a simplified model for a three-terminal quantum thermocouple consisting of two strongly-coupled quantum dots. To elucidate spin-dependent Seebeck and Peltier effects, we employ a microscopic Hamiltonian and map the Lindblad…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 Nikhil Gupt , Shuvadip Ghosh , Arnab Ghosh

We investigate nonlinear transport properties of quantum conductors in response to both electrical and thermal driving forces. Within scattering approach, we determine the nonequilibrium screening potential of a generic mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 David Sanchez , Rosa Lopez

The first Kelvin relation that states the Peltier coefficient should be equal to the product of temperature and Seebeck coefficient is a fundamental principle in thermoelectricity. It has been regarded as an important application and direct…

Statistical Mechanics · Physics 2021-01-20 Yu-Chao Hua , Ti-Wei Xue , Zeng-Yuan Guo

Onsager's reciprocity relations for the coefficients of transport equations are now 87 years old. Sometimes these relations are called the Fourth Law of Thermodynamics. Among others they provide an effective criterion for the existence of…

Other Condensed Matter · Physics 2018-10-09 Klaus Stierstadt

Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Elina Potanina , Christian Flindt , Michael Moskalets , Kay Brandner

We discuss a consequence of time reversal symmetry on thermoelectric effect in nonequilibrium coherent quantum transport. Starting with a quantum version of the fluctuation theorem, we show that there exist universal relations between the…

Mesoscale and Nanoscale Physics · Physics 2010-02-02 Eiki Iyoda , Yasuhiro Utsumi , Takeo Kato

We generalize the theory of thermoelectrics to include coherent electron systems under adiabatic ac driving, accounting for quantum pumping of charge and heat as well as the associated work exchange between electron system and driving…

Mesoscale and Nanoscale Physics · Physics 2016-03-28 Maria Florencia Ludovico , Francesca Battista , Felix von Oppen , Liliana Arrachea
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