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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…

We report an efficient numerical approach to compute the different components of the orbital Hall responses in disordered topological materials from the Berry phase theory of magnetization. The theoretical framework is based on the…

介观与纳米尺度物理 · 物理学 2024-10-30 Luis M. Canonico , Jose H. García , Stephan Roche

Unconventional responses upon breaking discrete or crystal symmetries open avenues for exploring emergent physical systems and materials. By breaking inversion symmetry, a nonlinear Hall signal can be observed, even in the presence of…

介观与纳米尺度物理 · 物理学 2018-12-27 Z. Z. Du , C. M. Wang , Hai-Zhou Lu , X. C. Xie

We compute the magnetoelectric conductivity tensors in planar Hall set-ups, which are built with tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs), considering all possible relative orientations of the electromagnetic fields…

介观与纳米尺度物理 · 物理学 2025-04-14 Rahul Ghosh , Ipsita Mandal

The nonlinear Hall effect has opened the door towards deeper understanding of topological states of matter. It can be observed as the double-frequency Hall voltage response to an ac longitudinal current in the presence of time-reversal…

介观与纳米尺度物理 · 物理学 2019-07-15 Z. Z. Du , C. M. Wang , Shuai Li , Hai-Zhou Lu , X. C. Xie

We study nonlinear response of a quantum Hall system in semiconductor-heterostructures via third harmonic generation process and nonlinear Faraday effect. We demonstrate that Faraday rotation angle and third harmonic radiation intensity…

介观与纳米尺度物理 · 物理学 2016-11-23 H. K. Avetissian , G. F. Mkrtchian

A formula for the Hall response of interacting multi-band systems with arbitrary band topology and spin-orbit coupling is derived. The formula is valid at finite frequency, which is relevant for Faraday rotation, and it takes into account…

强关联电子 · 物理学 2019-03-04 R. Nourafkan , A. - M. S. Tremblay

The search for strong topological phases in generic aperiodic materials and meta-materials is now vigorously pursued by the condensed matter physics community. In this work, we first introduce the concept of patterned resonators as a…

数学物理 · 物理学 2018-05-02 Chris Bourne , Emil Prodan

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

材料科学 · 物理学 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

The Landauer formula provides a general scattering formulation of electrical conduction. Despite its utility, it has been mainly applied to the linear-response regime, and a scattering theory of nonlinear response has yet to be fully…

介观与纳米尺度物理 · 物理学 2022-11-04 Kohei Kawabata , Masahito Ueda

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase…

介观与纳米尺度物理 · 物理学 2020-11-03 Donghao Li , Steven W. Shaw

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…

介观与纳米尺度物理 · 物理学 2021-12-13 Elio J. König , Alex Levchenko

The nonlinear mass is a characteristic scale in halo formation that has wide-ranging applications across cosmology. Naively, computing it requires repeated numerical integration to calculate the variance of the power spectrum on different…

宇宙学与河外天体物理 · 物理学 2019-11-04 Alex Krolewski , Zachary Slepian

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, focusing on skew-scattering contributions to the transport. We find that the skew scattering, principally…

The nonlinear response of stochastic models obeying a master equation is calculated up to fifth-order in the external field thus extending the third-order results obtained earlier (G. Diezemann, Phys. Rev. E{\bf 85}, 051502 (2012)). For…

软凝聚态物质 · 物理学 2017-08-30 Gregor Diezemann

We demonstrate that two phenomena, the kinetic magneto-electric effect and the non-linear Hall effect, are universal to polar metals, as a consequence of their coexisting and contraindicated polarization and metallicity. We show that…

材料科学 · 物理学 2023-09-19 Fabian Jäger , Nicola A. Spaldin , Sayantika Bhowal

Nonlinear optical responses are a crucial probe of physical systems including periodic solids. In the absence of electron-electron interactions, they are calculable with standard perturbation theory starting from the band structure of Bloch…

强关联电子 · 物理学 2019-01-16 Daniel E. Parker , Takahiro Morimoto , Joseph Orenstein , Joel E. Moore

The computational cost associated with reducing tensor integrals to scalar integrals using the Passarino-Veltman method is dominated by the diagonalisation of large systems of equations. These systems of equations are sized according to the…

高能物理 - 唯象学 · 物理学 2023-11-06 Charalampos Anastasiou , Julia Karlen , Matilde Vicini

The theory of the nonlinear Hall effect has been established by I. Sodemann and L. Fu [Phys. Rev. Lett. 115, 216806 (2015)] in a semiclassical framework: therein, the effect appears as a geometrical property of Bloch electrons, originating…

材料科学 · 物理学 2021-05-13 Raffaele Resta

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

介观与纳米尺度物理 · 物理学 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal