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We present a systematic study of the nonlinear thermal Hall responses in bosonic systems using the quantum kinetic theory framework. We demonstrate the existence of an intrinsic nonlinear boson thermal current, arising from the quantum…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Harsh Varshney , Rohit Mukherjee , Arijit Kundu , Amit Agarwal

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

We review recent developments in nonlinear quantum transport through nanostructures and mesoscopic systems driven by thermal gradients or in combination with voltage biases. Low-dimensional conductors are excellent platforms to analyze both…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 David Sanchez , Rosa Lopez

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

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

Over the years, Berry curvature, which is associated with the imaginary part of the quantum geometric tensor, has profoundly impacted many branches of physics. Recently, quantum metric, the real part of the quantum geometric tensor, has…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Xiao-Bin Qiang , Tianyu Liu , Zi-Xuan Gao , Hai-Zhou Lu , X. C. Xie

We construct a scattering theory of weakly nonlinear thermoelectric transport through sub-micron scale conductors. The theory incorporates the leading nonlinear contributions in temperature and voltage biases to the charge and heat…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Jonathan Meair , Philippe Jacquod

Quantum dots are useful model systems for studying quantum thermoelectric behavior because of their highly energy-dependent electron transport properties, which are tunable by electrostatic gating. As a result of this strong energy…

Mesoscale and Nanoscale Physics · Physics 2016-06-17 Artis Svilans , Adam M. Burke , Sofia Fahlvik Svensson , Martin Leijnse , Heiner Linke

We analyze the problem of directed quantum transport induced by external exponentially correlated telegraphic noise. In addition to quantum nature of the heat bath, nonlinearity of the periodic system potential brings in quantum…

Statistical Mechanics · Physics 2007-05-23 Pulak Kumar Ghosh , Debashis Barik , Deb Shankar Ray

The second-order nonlinear current originates from three physical mechanisms: extrinsic nonlinear Drude and Berry curvature dipole and intrinsic Berry connection polarizability. Here, we predict a new intrinsic contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Kamal Das , Shibalik Lahiri , Rhonald Burgos Atencia , Dimitrie Culcer , Amit Agarwal

A user friendly scheme based on the quantum kinetic equation is developed for studying thermal transport phenomena in the presence of interactions and disorder. We demonstrate that this scheme is suitable for both a systematic perturbative…

Disordered Systems and Neural Networks · Physics 2015-05-14 Karen Michaeli , Alexander M. Finkel'stein

Nonlinear responses in transport phenomena have attracted significant attention because they can arise even when linear responses are forbidden by symmetry, with the quantum geometry of Bloch wave functions playing an essential role. While…

Strongly Correlated Electrons · Physics 2026-03-12 Aoi Kuwabara , Joji Nasu

Recent work has revealed a general procedure for incorporating disorder into the semiclassical model of carrier transport, whereby the predictions of quantum linear response theory can be recovered within a quantum kinetic approach based on…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 M. Mehraeen

We employ matrix product state simulations to study energy transport within the non-integrable regime of the one-dimensional $\mathbb{Z}_3$ chiral clock model. To induce a non-equilibrium steady state throughout the system, we consider open…

Strongly Correlated Electrons · Physics 2024-06-24 Yongchan Yoo , Brian Swingle

I consider the non-equilibrium DC transport of electrons through a quantum system with a thermoelectric response. This system may be any nanostructure or molecule modeled by the nonlinear scattering theory which includes Hartree-like…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Robert S. Whitney

Using nonequilibrium molecular-dynamics simulations, we study the temperature dependence of the negative differential thermal resistance that appears in two-segment Frenkel-Kontorova lattices. We apply the theoretical method based on…

Biological Physics · Physics 2009-05-26 Wei-Rong Zhong , Ping Yang , Bao-Quan Ai , Zhi-Gang Shao , Bambi Hu

We develop a general hydrodynamic framework for computing direct current thermal and electric transport in a strongly interacting finite temperature quantum system near a Lorentz-invariant quantum critical point. Our framework is…

Strongly Correlated Electrons · Physics 2016-02-24 Andrew Lucas , Jesse Crossno , Kin Chung Fong , Philip Kim , Subir Sachdev

This work aims to understand how quantum mechanics affects heat transport at low temperatures. In the classical setting, by considering a simple paradigmatic model, our simulations reveal the emergence of Negative Differential Thermal…

Statistical Mechanics · Physics 2026-02-17 Zhixing Zou , Jiangbin Gong , Jiao Wang , Giulio Casati , Giuliano Benenti

A theory of temperature dynamics in many-body systems driven by time-dependent external sources is introduced. The formalism based on the combination of the perturbation theory and the fluctuational-electrodynamics approach in many-body…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alireza Naeimi , Moladad Nikbakht

In this perspective, we discuss thermal imbalance and the associated electron-mediated thermal transport in quantum electronic devices at very low temperatures. We first present the theoretical approaches describing heat transport in…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Danial Majidi , Justin P. Bergfield , Ville Maisi , Johannes Höfer , Hervé Courtois , Clemens B. Winkelmann
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