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We develop a theory of Coulomb interaction-mediated contribution to valley Hall effect (VHE) in two-dimensional non-centrosymmetric gapped Dirac materials. We assume that the bare valley Hall current occurs in the system due to the presence…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 D. S. Eliseev , A. V. Parafilo , V. M. Kovalev , O. V. Kibis , I. G. Savenko

Exciton Valley Hall effect is the spatial separation of the valley-tagged excitons in the presence of a drag force. Usually, the effect is associated with the anomalous velocity acquired by the particles due to the Berry curvature of the…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 M. M. Glazov , L. E. Golub

The question is investigated whether the anomalous Hall effect (AHE) in Fe films is due to skew scattering or side jump. For this purpose sandwiches of FeIn are investigated in which the conduction electrons carry their drift velocity…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gerd Bergmann , Manjiang Zhang

Valley Hall effect is an appearance of the valley current in the direction transverse to the electric current. We develop the microscopic theory of the valley Hall effect in two-dimensional semiconductors where the electrons are dragged by…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 M. M. Glazov , L. E. Golub

Diffusion currents are theoretically examined in two-dimensional Dirac materials, such as those of the transition metal dichalcogenides (TMD) family. The transversal effects are analogues of the valley Hall (VHE) and photogalvanic (PGE)…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 A. V. Snegirev , V. M. Kovalev , M. V. Entin

The anomalous Hall effect in ferromagnetic metals is classified into two based on the mechanism. The first one is the intrinsic Hall effect due to the Berry curvature in momentum space; this is a Hall effect that solely arises from the band…

Mesoscale and Nanoscale Physics · Physics 2017-10-19 Hiroaki Ishizuka , Naoto Nagaosa

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

Valleytronics harnesses the valley degree of freedom -- energy-degenerate extrema in the electronic band structure -- for information storage and processing. Valley Hall effect (VHE) is a cornerstone of valleytronics, enabling electric…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Jin Cao , Shen Lai , Cong Xiao , Qian Niu , Shengyuan A. Yang

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

Berry curvature is analogous to magnetic field but in momentum space and is commonly present in materials with non-trivial quantum geometry. It endows Bloch electrons with transverse anomalous velocities to produce Hall-like currents even…

The valley Hall effect (VHE) holds great promise for valleytronic applications by leveraging the valley degree of freedom. To date, research on VHE has focused on its linear response to an applied current, leaving nonlinear valley responses…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Pan He , Min Zhang , Jin Cao , Jingru Li , Hao Liu , Jinfeng Zhai , Ruibo Wang , Cong Xiao , Shengyuan A. Yang , Jian Shen

We develop the theory of the spin and valley Hall effects in two-dimensional systems caused by asymmetric -- skew -- scattering of the quasiparticles. The collision integral is derived in the third order in the particle-particle interaction…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 M. M. Glazov , L. E. Golub

Photovoltaic Hall effect, i.e., generation of a photocurrent perpendicular to the bias electric field, is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced…

Materials Science · Physics 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

The valley Hall effect arises from valley contrasting Berry curvature and requires inversion symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall current in systems with both inversion and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Kamal Das , Koushik Ghorai , Dimitrie Culcer , Amit Agarwal

The electric Hall effect (EHE) is a newly identified Hall effect characterized by a perpendicular electric field inducing a transverse charge current in two-dimensional (2D) systems. Here, we propose a spin and valley version of EHE. We…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 W. Zeng

We present a review of experimental and theoretical studies of the anomalous Hall effect (AHE), focusing on recent developments that have provided a more complete framework for understanding this subtle phenomenon and have, in many…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Naoto Nagaosa , Jairo Sinova , Shigeki Onoda , A. H. MacDonald , N. P. Ong

Graphene subject to high levels of shear strain leads to strong pseudo-magnetic fields resulting in the emergence of Landau levels. Here we show that, with modest levels of strain, graphene can also sustain a classical valley hall effect…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Xian-Peng Zhang , Chunli Huang , Miguel A. Cazalilla

Exploring new Hall effect is always a fascinating research topic. The ordinary Hall effect and the quantum Hall effect, initially discovered in two-dimensional (2D) non-magnetic systems, are the phenomena that a transverse current is…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Chaoxi Cui , Run-Wu Zhang , Yilin Han , Zhi-Ming Yu , Yugui Yao

The nonlinear acoustic valley Hall effect (AVHE), a recently discovered novel acoustically driven phenomena, has sparked extensive interests in valleytronics. So far, only the intrinsic contributions from band structure (Berry curvature or…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Jia-Liang Wan , Ying-Li Wu , Ke-Qiu Chen , Xiao-Qin Yu

The band structure of many semiconducting monolayer transition metal dichalcogenides (TMDs) possesses two degenerate valleys, with equal and opposite Berry curvature. It has been predicted that, when illuminated with circularly polarized…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 Nicolas Ubrig , Sanghyun Jo , Marc Philippi , Davide Costanzo , Helmuth Berger , Alexey B. Kuzmenko , Alberto F. Morpurgo
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