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The classical Hall effect, the traditional means of determining charge-carrier sign and density in a conductor, requires a magnetic field to produce transverse voltages across a current-carrying wire. We show that along curved paths --…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Nicholas B. Schade , David I. Schuster , Sidney R. Nagel

Motivated by the recent experimental realization of the half-quantized Hall effect phase in a three-dimensional (3D) semi-magnetic topological insulator [M. Mogi et al., Nature Physics 18, 390 (2022)], we propose a scheme for realizing the…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Fang Qin , Ching Hua Lee , Rui Chen

Negative longitudinal magnetoresistance, in the presence of an external magnetic field parallel to the direction of an applied current, has recently been experimentally verified in Weyl semimetals and topological insulators in the bulk…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 S. Nandy , A. Taraphder , Sumanta Tewari

An oscillographic study of the Hall voltage with an unpolarized alternating current through a platinum sample revealed choral features of the Hall effect, which clearly demonstrate the presence of the spin Hall effect in metals with a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yu. N. Chiang , M. O. Dzyuba

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

Materials Science · Physics 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa

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

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

In this work, we propose a scheme to realize the layer Hall effect in the ferromagnetic topological insulator Bi$_2$Se$_3$ via proximity to $d$-wave altermagnets. We show that an altermagnet and an in-plane magnetic field applied near one…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Fang Qin , Rui Chen

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

The anomalous Hall effect, commonly observed in metallic magnets, has been established to originate from the time-reversal symmetry breaking by an internal macroscopic magnetization in ferromagnets or by a non-collinear magnetic order. Here…

The robust spin and momentum valley locking of electrons in two-dimensional semiconductors make the valley degree of freedom of great utility for functional optoelectronic devices. Owing to the difference in optical selection rules for the…

The Hall voltage sign reversal is consistently explained by the model in which vortices with the superconducting and normal state charge carriers are regarded as three subsystems mutually connected by interactions. The equations of motion…

Superconductivity · Physics 2009-10-31 J. Kolacek , P. Vasek

The planar Hall effect is a phenomenon that the Hall conductivity emerges perpendicular to the electric field in the presence of an in-plane magnetic field. We investigate the planar Hall effect in two-dimensional metal coupled with higher…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Motohiko Ezawa

We predict that when an alternating voltage is applied to a semiconducting system with inhomogeneous electron density in the direction perpendicular to main current flow, the spin Hall effect results in a transverse voltage containing a…

Mesoscale and Nanoscale Physics · Physics 2009-11-21 Yu. V. Pershin , M. Di Ventra

Analogous to Peierls' arguments for the `anomalous' Hall in metals I demonstrate that the Hall anomaly in the mixed state of superconductors, the sign change of the Hall resistivity, is a property of a vortex many-body correlation, and show…

Condensed Matter · Physics 2008-02-03 P. Ao

Measurement techniques based upon the Hall effect are invaluable tools in condensed matter physics. When an electric current flows perpendicular to a magnetic field, a Hall voltage develops in the direction transverse to both the current…

The longitudinal current in a three-dimensional conductor is accompanied by transverse magnetic field in a specimen bulk. The absence of the transverse current in a sample bulk requires a nonzero Hall electric field in transverse…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 M. V. Cheremisin

We study theoretically the parallel quantum wires of the experiment by Auslaender et al. [Science 308, 88 (2005)] at low electron density. It is shown that a Hall effect as observed in two- or three-dimensional electron systems develops as…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Kindermann

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Two well-known Hall-like effects are occurring in ferromagnets: the Anomalous Hall effect and the Planar Hall effect. The former is analogous to the classical Hall effect and is defined by the Onsager reciprocity relation of the second kind…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Jean-Eric Wegrowe , Luqian Zhou , Sariah Al Saati