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We have investigated the weakly non-linear quantum transport properties of a two-dimensional quantum conductor. We have developed a numerical scheme which is very general for this purpose. The nonlinear conductance is computed by explicitly…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wei-Dong Sheng , Jian Wang , Hong Guo

We study two-dimensional systems with Galilean invariance gapped under magnetic fields. When such quantum Hall systems are coupled with external sources for charge, energy, and momentum currents, they exhibit invariance under the Milne…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Tatsuya Amitani , Yusuke Nishida

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

We identify the quantum metric dipole as the geometric origin of the nonreciprocal directional dichroism which describes the change in the refractive index upon reversing the light propagation direction. Specifically, we find that the…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Yang Gao , Di Xiao

The classic magnetic induction effect is usually considered in electric circuits or conductor coils. In this work, we propose quantum induction effects induced by the Berry curvature in homogenous solids. Two different types of quantum…

Materials Science · Physics 2021-11-04 Yizhou Liu , Hengxin Tan , Binghai Yan

The patterns of reversible changes in the critical current and discrete current states of a structure in the form of a superconducting quantum interferometer shunted by superconducting inductance, as a result of passing an alternating…

Superconductivity · Physics 2018-12-04 S. I. Link , V. P. Koverya , A. V. Krevsun , S. I. Bondarenko

The recently discovered nonlinear Hall effect (NHE) in a few non-interacting systems provides a novel mechanism to generate second harmonic electrical Hall signals under time-reversal-symmetric conditions. Here, we introduce a new approach…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Meizhen Huang , Zefei Wu , Jinxin Hu , Xiangbin Cai , En Li , Liheng An , Xuemeng Feng , Ziqing Ye , Nian Lin , Kam Tuen Law , Ning Wang

We experimentally observe the quantum geometric tensor, namely the quantum metric and the Berry curvature, for a square lattice of radiatively coupled plasmonic nanoparticles. We observe a non-zero Berry curvature and show that it arises…

We theoretically study the effect of the Berry curvature on the transport properties of Weyl semimetals in the nonadiabatic process, which results in nonlinear optical responses. In the adiabatic process, the Berry curvature, which involves…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hiroaki Ishizuka , Tomoya Hayata , Masahito Ueda , Naoto Nagaosa

The quantum statistical dynamics of a position coordinate x coupled to a reservoir requires theoretically two copies of the position coordinate within the reduced density matrix description. One coordinate moves forward in time while the…

Quantum Physics · Physics 2009-11-10 S. Sivasubramanian , Y. N. Srivastava , G. Vitiello , A. Widom

Nonreciprocal transport in uniform systems has attracted great research interest recently and the existing theories mainly focus on the diffusive regime. In this study, we uncover a novel scenario for nonreciprocal charge transport in the…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Minhao Zou , Hao Geng , Rong Ma , Wei Chen , Li Sheng , Dingyu Xing

Altermagnets are rapidly emerging as a highly promising platform for spintronics, yet dynamically controlling their spin responses remains a fundamental challenge. In this work, we demonstrate that introducing periodic optical driving and…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Kai Chen , Jie Zhu

The description of quantum transport in a quadruple quantum-dot structure (QQD) is proposed taking into account the Coulomb correlations and nonzero bias voltages. To achieve this goal the combination of nonequilibrium Green's functions and…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 M. Yu. Kagan , S. V. Aksenov

We introduce the intrinsic nonlinear planar thermal Hall effect (NPTHE)-- a dissipationless thermal response proportional to $(\nabla T)^2B$, which arises when the temperature gradient $\nabla T$ and magnetic field $\mathbf{B}$ lie within…

Materials Science · Physics 2025-11-21 Chanchal K. Barman

Nonlinear responses in transport experiments may unveil information and generate new phenomena in materials that are not accessible at linear order due to symmetry constraints. While the linear anomalous Hall response strictly requires the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ankita Bhattacharya , Annica M. Black-Schaffer

Violation of parity symmetry gives rise to various physical phenomena such as nonlinear transport and cross-correlated responses. In particular, the nonlinear conductivity has been attracting a lot of attentions in spin-orbit coupled…

Materials Science · Physics 2020-10-19 Hikaru Watanabe , Youichi Yanase

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko

The thermoelectric transport properties of nanostructured devices continue to attract attention from theorists and experimentalist alike as the spatial confinement allows for a controlled approach to transport properties of correlated…

Strongly Correlated Electrons · Physics 2015-06-12 Stefan Kirchner , Farzaneh Zamani , Enrique Muñoz

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

In modern condensed matter theory, phases of electronic matter--such as metals and insulators-are fundamentally distinguished by the presence or absence of charge-carrying quasiparticles or excitations near the Fermi surface at low…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Xian-Peng Zhang , Yan-Qing Feng , Ji-Feng Shao , Haiwen Liu , Yugui Yao