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While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…

We have studied magnetotransport of a degenerate two-dimensional electron gas in a Hall sample in the Knudsen regime, when the mean free paths of electrons with respect to their collisions with each other and with impurities are much larger…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Yu. O. Alekseev , A. P. Dmitriev

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

Materials Science · Physics 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

In two-dimensional (2D) electron systems in a magnetic field, the Coulomb interaction among charge carriers, under Landau quantization, essentially governs a variety of many-body phenomena while there are also phenomena, such as the…

Mesoscale and Nanoscale Physics · Physics 2019-08-01 K. Shizuya

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Xiao-Xiao Zhang , Naoto Nagaosa

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

The planar Hall effect (PHE) is the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields. Its hallmark is a characteristic $\pi$-periodic, i.e. even under a magnetic field reversal, angular…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Raffaele Battilomo , Niccoló Scopigno , Carmine Ortix

Parity-time-reversal symmetric ($\mathcal{PT}$-symmetric) magnets have garnered much attention due to their spin-charge coupled dynamics enriched by the parity-symmetry breaking. By real-time simulations, we study how localized spin…

Strongly Correlated Electrons · Physics 2025-05-13 Kohei Hattori , Hikaru Watanabe , Ryotaro Arita

We theoretically investigate the intrinsic anomalous Hall effect in two magnetically ordered systems: One is the ferromagnetic dipole system, and the other is the anisotropic magnetic dipole system, the latter of which has been proposed as…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Satoru Ohgata , Satoru Hayami

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding…

Strongly Correlated Electrons · Physics 2024-01-31 Giacomo Morpurgo , Louk Rademaker , Christophe Berthod , Thierry Giamarchi

In a time-reversal invariant system, while the anomalous Hall effect identically vanishes in the linear response regime due to the constraint of time-reversal symmetry on the distribution of Berry curvature, a nonlinear Hall effect can…

Materials Science · Physics 2021-06-30 Zi-Shan Liao , Hong-Hao Zhang , Zhongbo Yan

We study a relativistic two-dimensional electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute, in first order perturbation theory, the averages of the charge density and of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 N. Bralic , C. A. A. de Carvalho , R. M. Cavalcanti , P. Donatis

The response of a graphene Hall-Effect sensor to the inhomogeneous magnetic field generated by a dipole located above it, is investigated numerically at room temperature as a function of the dipole position, its orientation and the…

Mesoscale and Nanoscale Physics · Physics 2024-10-07 Lionel Petit , Thomas Blon , Benjamin Lassagne

Can a generic magnetic insulator exhibit a Hall current? The quantum anomalous Hall effect (QAHE) is one example of an insulating bulk carrying a quantized Hall conductivity and other insulators (with zero Chern number) present zero Hall…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Daniel Kaplan , Tobias Holder , Binghai Yan

A mechanism for phonon Hall effect (PHE) in non-magnetic insulators under an external magnetic field is theoretically studied. PHE is known in (para)magnetic compounds, where the magnetic moments and spin-orbit interaction play an essential…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Takuma Saito , Kou Misaki , Hiroaki Ishizuka , Naoto Nagaosa

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

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…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 Z. Z. Du , C. M. Wang , Hai-Zhou Lu , X. C. Xie

We have studied the effect of an in-plane magnetic field on Hall field-induced resistance oscillations in high mobility two-dimensional electron systems. We have found that the oscillation frequency depends only on the perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West