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We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Maxim Dzero , Maxim Khodas , Alex Levchenko , Vladyslav Kozii

The quantum geometric properties of topological materials underpin many exotic physical phenomena and applications. Quantum nonlinearity has emerged as a powerful probe for revealing these properties. The Berry curvature dipole in…

Mesoscale and Nanoscale Physics · Physics 2025-01-23 Xing-Yu Liu , An-Qi Wang , Dong Li , Tong-Yang Zhao , Xin Liao , Zhi-Min Liao

We investigate the intrinsic thermal Hall conductivity contributed by optical phonons in a cubic system. The discrete rotational symmetry of the system splits the degeneracy of transverse modes across most regions of wave-vector space,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Xuesong Hu , Junren Shi

In non-Hermitian band structures, exceptional points generically form gapless lines or loops that give rise to extensively many defective eigenstates. In this work, we investigate how they nontrivially contribute to higher-order nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-06-13 Fang Qin , Ruizhe Shen , Ching Hua Lee

The anomalous Hall effect has had a profound influence on the understanding of many electronic topological materials but is much less studied in their bosonic counterparts. We predict that an intrinsic anomalous Hall effect exists in a…

Quantum Gases · Physics 2022-10-31 Guan-Hua Huang , Zhi-Fang Xu , Zhigang Wu

The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Chanchal K. Barman , Arghya Chattopadhyay , Surajit Sarkar , Jian-Xin Zhu , Snehasish Nandy

In two-dimensional (2D) hole systems the inversion asymmetry induced spin splitting differs remarkably from its familiar counterpart in the conduction band. While the so-called Rashba spin splitting of electron states increases linearly…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Winkler

We put forward the concept of a bulk Rashba effect emerging in a multiferroic material, such as an antiferromagnetic system with a polar crystal structure. According to symmetry considerations, while time-reversal and space-inversion…

Strongly Correlated Electrons · Physics 2019-12-18 Kunihiko Yamauchi , Paolo Barone , Silvia Picozzi

We study the orbital Hall response in buckled two-dimensional Dirac materials using a unified framework that includes an antiferromagnetic exchange field, a perpendicular electric field, and intrinsic spin-orbit coupling. We show that the…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Madiha Zia , Muzamil Shah , Kashif Sabeeh , Gao Xianlong , Reza Asgari

We demonstrate that flow of longitudinal unpolarized current through a ballistic two-dimensional electron gas with Rashba spin-orbit coupling will induce nonequilibrium spin accumulation which has opposite sign for the two lateral edges and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , Satofumi Souma , Liviu P. Zarbo , Jairo Sinova

The linear intrinsic anomalous Hall effect (IAHE) and second-order IAHE have been intensively investigated in time-reversal broken systems. However, as one of the important members of the nonlinear Hall family, the investigation of…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Longjun Xiang , Chao Zhang , Luyang Wang , Jian Wang

We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Sina Gholizadeh , Dimitrie Culcer

The study of electronic properties in topological systems is one of the most fascinating topics in condensed matter physics, which has generated enormous interests in recent times. New materials are frequently being proposed and…

Materials Science · Physics 2018-08-22 Ratnadwip Singha , Shubhankar Roy , Arnab Pariari , Biswarup Satpati , Prabhat Mandal

The nonlinear Hall effect (NLHE) has been detected in various of condensed matter systems. Unlike linear Hall effect, NLHE may exist in physical systems with broken inversion symmetry in the crystal. On the other hand, real space spin…

Strongly Correlated Electrons · Physics 2024-10-15 Wen-Tao Hou , Jiadong Zang

In recent years it has become clear that electronic Berry curvature (BC) is a key concept to understand and predict physical properties of crystalline materials. A wealth of interesting Hall-type responses in charge, spin and heat transport…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Dennis Wawrzik , Jorge I. Facio , Jeroen van den Brink

The observation of non-linear Hall effects in time-reversal invariant systems has established the intriguing role of band topology beyond Berry curvature in determining transport phenomena. Many of these non-linear responses owe their…

Materials Science · Physics 2025-10-27 Nesta Benno Joseph , Arka Bandyopadhyay , Ajit C. Balram , Awadhesh Narayan

We discuss the mechanism of anomalous Hall effect related to the contribution of electron states below the Fermi surface (induced by the Berry phase in momentum space). Our main calculations are made within a model of two-dimensional…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , M. Taillefumier , B. Canals , C. Lacroix

The coexistence of ferroelectricity and spin-orbit coupling (SOC) in noncentrosymmetric systems may allow for a nonvolatile control of spin degrees of freedom by switching the ferroelectric polarization through the well-known ferroelectric…

Strongly Correlated Electrons · Physics 2021-09-29 Siti Amalia Sasmito , Muhammad Anshory , Ibnu Jihad , Moh. Adhib Ulil Absor

I examine a model for the Hall effect in the strongly correlated regime. It emerges from an approach proposed in my previous articles [e.g. J. Phys. Chem. Solids, 65 (2004), 1507-1515; J. Geom. Phys., in press, cf. math-ph/0409023]. The…

Superconductivity · Physics 2007-05-23 Artur Sowa

It has long been assumed that the inversion asymmetry-induced Rashba spin splitting in two-dimensional (2D) systems at zero magnetic field is proportional to the electric field that characterizes the inversion asymmetry of the confining…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Winkler , H. Noh , E. Tutuc , M. Shayegan