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Conceptual framework behind the intrinsic spin Hall effect in three-dimensional conductors is discussed. Theory suggests how the spin Hall current should depend on symmetry and orientation of the crystal.

Mesoscale and Nanoscale Physics · Physics 2008-05-20 E. M. Chudnovsky

The in-plane (thermal) Hall effect is an unconventional transverse response when the applied magnetic field is in the (heat) current plane. In contrast to the normal Hall effect, the in-plane Hall effect requires the absence of certain…

Materials Science · Physics 2023-06-01 Takashi Kurumaji

Quasi-two-dimensional transport is investigated in a system consisting of one ferromagnetic layer placed between two insulating layers. Using the mechanism of skew-scattering to describe the Extraordinary Hall Effect (EHE) and calculating…

Materials Science · Physics 2013-05-29 N. Ryzhanova , A. Vedyayev , A. Pertsova , B. Dieny

The topological nature of topological insulators are related to the symmetries present in the material, for example, quantum spin Hall effect can be observed in topological insulators with time reversal symmetry, while broken time reversal…

We demonstrate the formation of orbital and spin Hall effects (OHE/SHE) in the 1T phase of non-magnetic transition metal dichalcogenides. With the aid of density functional theory calculations and model Hamiltonian studies on MX$_2$ (M =…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Pratik Sahu , Jatin Kumar Bidika , Bubunu Biswal , S. Satpathy , B. R. K. Nanda

When phase space coordinates are noncommutative, especially including arbitrarily noncommutative momenta, the Hall effect is reinvestigated. A minimally gauge-invariant coupling of electromagnetic field is introduced by making use of…

High Energy Physics - Theory · Physics 2009-11-07 Akira Kokado , Takashi Okamura , Takesi Saito

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

We consider the Hall effect in a system of weakly coupled one-dimensional chains with Luttinger interaction within each chain. We construct a perturbation theory in the inter-chain hopping term and find that there is a power law dependence…

Strongly Correlated Electrons · Physics 2009-10-30 Lopatin , A. V

We predict the existence of a three dimensional quantum Hall effect plateau in a graphite crystal subject to a magnetic field. The plateau has a Hall conductivity quantized at $\frac{4e^2}{\hbar} \frac{1}{c_0} $ with $c_0$ the c-axis…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Andrei Bernevig , Taylor L. Hughes , Srinivas Raghu , Daniel P. Arovas

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

The nonlinear Hall effect (NHE) can enable rectification and energy harvesting, and its control by external fields, including gate, strain and magnetic field, has been pursued intensively. However, existing tuning pathways rely…

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

The thermal Hall effect in magnetic insulators has been considered a powerful method for examining the topological nature of charge-neutral quasiparticles such as magnons. Yet, unlike the kagome system, the triangular lattice has received…

We present a consistent theory of the topological Hall effect (THE) in 2D magnetic systems with disordered array of chiral spin textures, such as magnetic skyrmions. We focus on the scattering regime when the mean-free path of itinerant…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 K. S. Denisov , I. V. Rozhansky , N. S. Averkiev , E. Lahderanta

In a system of two-dimensional electrons, a combination of broken symmetry, interactions, and nontrivial topology can conspire to give rise to a nonlinear transport regime, where electric current density scales as the square of electric…

Kagome materials with magnetic frustration in two-dimensional networks are known for their exotic properties, such as the anomalous Hall effect (AHE) with non-collinear spin textures. However, the effects of one-dimensional (1D) spin chains…

The external field control of antiferromagnetism is a significant subject both for basic science and technological applications. As a useful macroscopic response to detect magnetic states, the anomalous Hall effect (AHE) is known for…

Strongly Correlated Electrons · Physics 2016-07-05 Naoki Kiyohara , Takahiro Tomita , Satoru Nakatsuji

The quasi-quantized Hall effect (QQHE) is the three-dimensional (3D) counterpart of the integer quantum Hall effect (QHE),exhibited only by two-dimensional (2D) electron systems. It has recently been observed in layered materials,…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Rafał Wawrzyńczak , Stanislaw Galeski , Jonathan Noky , Yan Sun , Claudia Felser , Johannes Gooth

We experimentally investigate third-order nonlinear Hall effect for three-dimensional NiTe$_2$ single crystal samples. NiTe$_2$ is the recently discovered type-II Dirac semimetal, so both the inversion and the time-reversal symmetries are…

Mesoscale and Nanoscale Physics · Physics 2025-06-27 V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov