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The quantum Hall effect, observed in a two-dimensional electron gas subjected to a perpendicular magnetic field, imposes a 1D-like chiral, downstream, transport of charge carriers along the sample edges. Although this picture remains valid…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fabien Lafont , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky

We show how the quantum Hall effect in an inverted-gap semiconductor (with electron- and hole-like states at the conduction- and valence-band edges interchanged) can be used to inject, precess, and detect the electron spin along a…

Mesoscale and Nanoscale Physics · Physics 2009-11-24 A. R. Akhmerov , C. W. Groth , J. Tworzydlo , C. W. J. Beenakker

The nonlinear Hall effect (NHE) is a recently discovered member of the Hall effect family in which the Hall voltage shows a nonlinear behavior when a transverse electric field is applied. While the NHE does not require broken time-reversal…

Near the superconducting phase transition, fluctuations significantly modify the electronic transport properties. Here we study the fluctuation corrections to the Hall conductivity in disordered films, extending previous derivations to a…

Superconductivity · Physics 2013-05-30 Karen Michaeli , Konstantin S. Tikhonov , Alexander M. Finkel'stein

We have developed a theory of the anomalous Hall effect in two-dimensional electron gas in the case where the time of electron-electron collisions is much smaller than the transport relaxation time. The transition between the diffusion…

Mesoscale and Nanoscale Physics · Physics 2023-10-30 D. S. Zohrabyan , M. M. Glazov

Spin Hall effects are a collection of phenomena, resulting from spin-orbit coupling, in which an electrical current flowing through a sample can lead to spin transport in a perpendicular direction and spin accumulation at lateral…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 Hans-Andreas Engel , Emmanuel I. Rashba , Bertrand I. Halperin

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

We systematically measured the Hall effect in the extremely large magnetoresistance semimetal WTe$_2$. By carefully fitting the Hall resistivity to a two-band model, the temperature dependencies of the carrier density and mobility for both…

Strongly Correlated Electrons · Physics 2015-11-09 Yongkang Luo , H. Li , Y. M. Dai , H. Miao , Y. G. Shi , H. Ding , A. J. Taylor , D. A. Yarotski , R. P. Prasankumar , J. D. Thompson

Magnetotransport theory of layered superconductors in the flux flow steady state is revisited. Longstanding controversies concerning observed Hall sign reversals are resolved. The conductivity separates into a Bardeen-Stephen vortex core…

Superconductivity · Physics 2020-04-22 Assa Auerbach , Daniel P. Arovas

The thermal Hall effect has emerged as a fundamental tool for probing exotic quasiparticles and topological order, particularly in magnetic insulators where electronic conduction is suppressed. Much like skyrmions, which are characterized…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Ferenc Márkus , Katalin Gambár

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

The (guiding-center) "Hall viscosity" is a fundamental tensor property of incompressible ``Hall fluids'' exhibiting the fractional quantum Hall effect; it determines the stress induced by a non-uniform electric field, and the intrinsic…

Strongly Correlated Electrons · Physics 2009-06-11 F. D. M. Haldane

Measurement of the Hall effect is a ubiquitous probe for materials discovery, characterization, and metrology. Inherent to the Hall measurement geometry, the measured signal is often contaminated by unwanted contributions, so the data must…

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…

Weak momentum dissipation in ultra-clean metals gives rise to novel non-Ohmic current flow, including ballistic and hydrodynamic regimes. Recently, hydrodynamic flow has attracted intense interest because it presents a valuable window into…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Kaize Wang , Chunyu Guo , Philip J. W. Moll , Tobias Holder

The spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junya Shibata , Hiroshi Kohno

Weakly disordered superconducting films can be driven into an anomalous low temperature resistive state upon applying a magnetic field. Recent experiments on weakly disordered amorphous InO$_x$ have established that both the Hall…

Superconductivity · Physics 2018-07-04 Luca V. Delacrétaz , Sean A. Hartnoll

Inertial effects play an important role in classical mechanics but have been largely overlooked in quantum mechanics. Nevertheless, the analogy between inertial forces on mass particles and electromagnetic forces on charged particles is not…

Mesoscale and Nanoscale Physics · Physics 2015-03-03 Julio E. Brandão , F. Moraes , M. M. Cunha , Jonas R. F. Lima , C. Filgueiras

The magnetic response is a state-defining property of superconductors. The magnetic flux penetrates type-II bulk superconductors by forming quantum vortices when the enclosed magnetic flux is equal to the magnetic flux quantum. The flux…

Superconductivity · Physics 2023-06-06 Yusuke Iguchi , Ruby Shi , Kunihiro Kihou , Chul-Ho Lee , Vadim Grinenko , Egor Babaev , Kathryn A. Moler

Spin Hall Effect is relativistic quantum mechanical effect which enables non-magnetic materials show magnetic phenomena without the application of a magnetic field. With spin Hall Effect, one can realize spintronics devices operating purely…

Mesoscale and Nanoscale Physics · Physics 2017-08-11 Dhavala Suri , R. S. Patel