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We study the quantum nonlinear Hall effect in two-dimensional materials with time-reversal symmetry. When only one mirror line exists, a transverse charge current occurs in second-order response to an external electric field, as a result of…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Jhih-Shih You , Shiang Fang , Su-Yang Xu , Efthimios Kaxiras , Tony Low

We study the linear, second-order nonlinear (NL) current and voltage responses of a two-dimensional gapped semi-Dirac system with merging Dirac nodes along the $x$ direction under the influence of a weak magnetic field ($B$), using the…

Mesoscale and Nanoscale Physics · Physics 2023-07-12 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

We propose that a nonlinear Hall response can be observed in Bloch oscillations of ultracold atoms in optical lattices under the condition of preserved time-reversal symmetry. In the short-time limit of Bloch oscillations driven by a direct…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Wei Zheng

Under broken time reversal symmetry such as in the presence of external magnetic field or internal magnetization, a transverse voltage can be established in materials perpendicular to both longitudinal current and applied magnetic field,…

Materials Science · Physics 2020-02-04 Hua Wang , Xiaofeng Qian

Non-Hermitian materials can not only exhibit exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical equations of motion for Bloch electrons.…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Jiong-Hao Wang , Yu-Liang Tao , Yong Xu

The existence of large nonlinear optical coefficients is one of the preconditions for using nonlinear optical materials in nonlinear optical devices. For a crystal, such large coefficients can be achieved by matching photon energies with…

Materials Science · Physics 2018-12-27 J. L. Cheng , J. E. Sipe , S. W. Wu , Chunlei Guo

We consider the nonlinear response of a disordered two-dimensional electronic system, lacking inversion symmetry, to an external alternating electric field. The application of an in-plane static magnetic field induces local contributions to…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Maxim Dzero , Jaglul Hasan , Alex Levchenko

Nodal line semimetals, a class of topological quantum materials, exhibit a variety of novel phenomena due to their properties, such as bands touching on a one-dimensional line or a ring in the Brillouin zone and drumhead-like surface…

Strongly Correlated Electrons · Physics 2024-10-08 Vivek Pandey , Dayana Joy , Dimitrie Culcer , Pankaj Bhalla

Longitudinal nonreciprocal charge transport is usually associated with broken time-reversal symmetry, either from magnetic order or an external magnetic field. Here, we show that it can also arise in nonmagnetic conductors preserving…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Harsh Varshney , Amit Agarwal

Nonlinear optical responses are often used as a probe for studying electronic properties of materials. For topological materials, studies so far focused on the photogalvanic electric current, which requires breaking inversion symmetry. In…

Materials Science · Physics 2022-03-21 Margarita Davydova , Maksym Serbyn , Hiroaki Ishizuka

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

We investigate the nonlinear Hall responses in tunable two-dimensional Dirac materials. In particular, we study quantum geometry-driven second and third order non-linear responses in a time-reversal symmetric Dirac semimetal that can host…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Akash Dey

We theoretically analyze the non-linear anomalous Nernst effect as the second-order response of temperature gradient by using the semiclassical framework of electron dynamics. We find that a non-linear current can be generated transverse to…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Xiao-Qin Yu , Zhen-Gang Zhu , Jhih-Shih You , Tony Low , Gang Su

Magneto-nonlinear Hall effect is known to be intrinsic and requires time-reversal symmetry. Here we show that a new type of magneto-nonlinear Hall effect can occur in the time-reversal breaking materials within the second-order response to…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Anwei Zhang , Jun-Won Rhim

We examine contributions to the dc-current of mesoscopic samples which are non-linear in applied voltage. In the presence of a magnetic field, the current can be decomposed into components which are odd (antisymmetric) and even (symmetric)…

Mesoscale and Nanoscale Physics · Physics 2007-10-27 M. L. Polianski , M. Buttiker

We theoretically investigate the nonlinear response current of a two-dimensional system under an in-plane magnetic field. Based on the extended semiclassical theory, we develop a unified theory including both longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2023-06-26 Yue-Xin Huang , Yang Wang , Hui Wang , Cong Xiao , Xiao Li , Shengyuan A. Yang

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

We investigate the intrinsic nonlinear valley Nernst effect, which induces a transverse valley current via a second-order thermoelectric response to a longitudinal temperature gradient. The effect arises from the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Xue-Jin Zhang , Jin Cao , Lulu Xiong , Hui Wang , Shen Lai , Cong Xiao , Shengyuan A. Yang

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

An original dispersion relation between the stationary coherent nonlinear optical responses by current and polarisation is obtained. The dispersion relation provides a new complimentary tool that can be employed to study light-induced…

Materials Science · Physics 2015-05-19 A. Pishtshev , N. Kristoffel