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We propose an experimental scheme to realize and detect the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental set-ups of double-well lattices with minor modifications.…

Strongly Correlated Electrons · Physics 2015-03-13 Xiong-Jun Liu , Xin Liu , Congjun Wu , Jairo Sinova

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

A comparative study of anomalous-Hall current injection and anisotropic current injection (through planar Hall effect) are studied in Hall devices contacted to a lateral load circuit. Hall currents are injected into the load circuit from…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 V. Desbuis , D. Lacour , M. Hehn , S. Geiskopf , L. Michez , J. Rial , V. Baltz , J. -E. Wegrowe

Unexpected transport behavior can arise due to anisotropic single-particle scattering in multiband systems. Specifically, we show within a semiclassical Boltzmann approach beyond the relaxation-time approximation that anisotropic scattering…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 Maxim Breitkreiz , P. M. R. Brydon , Carsten Timm

In transition metals and their compounds, the orbital degrees of freedom gives rise to an orbital current, in addition to the ordinary spin and charge currents. We reveal that considerably large spin and anomalous Hall effects (SHE and AHE)…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Kontani , T. Tanaka , D. S. Hirashima , K. Yamada , J. Inoue

Scaling of the anomalous Hall conductivity to longitudinal conductivity, has been observed in the dirty regime of two-dimensional weak and strong localization regions in ultrathin, polycrystalline, chemically disordered, ferromagnetic FePt…

Materials Science · Physics 2015-06-11 Y. M. Lu , J. W. Cai , Zaibing Guo , X. X. Zhang

Recent theoretical work has shown that higher-order moments of the Berry curvature, e.g., Berry curvature quadrupole and hexapole moments, can produce the leading order nonlinear anomalous Hall response (NLAH) in systems with special…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

Recently, the semiclassical theory of the anomalous Hall effect induced by the Berry curvature in Bloch bands has been introduced. The theory operates only with gauge invariant concepts, that have a simple semiclassical interpretation and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. A. Sinitsyn

The Berry phase understanding of electronic properties has attracted special interest in condensed matter physics, leading to phenomena such as the anomalous Hall effect and the topological Hall effect. A non-vanishing Berry phase, induced…

We investigate the effect of random defect scattering on the orbital Hall effect by solving a quantum Boltzmann equation. Depending on the specific orbital textures, diffuse scattering by an \emph{arbitrarily} weak disorder can affect and…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Ping Tang , Gerrit E. W. Bauer

Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang , Hua-Wei Fan

Geometric Berry phase can be induced either by spin-orbit coupling, giving rise to the anomalous Hall effect in ferromagnetic materials, or by chiral spin texture, such as skyrmions, leading to the topological Hall effect. Recent…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Jian-Xiao Zhang , Domenico Andreoli , Jiadong Zang , Chao-Xing Liu

Electrons in moir\'e flat band systems can spontaneously break time reversal symmetry, giving rise to a quantized anomalous Hall effect. Here we use a superconducting quantum interference device to image stray magnetic fields in one such…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 C. L. Tschirhart , M. Serlin , H. Polshyn , A. Shragai , Z. Xia , J. Zhu , Y. Zhang , K. Watanabe , T. Taniguchi , M. E. Huber , A. F. Young

The physics of a planar chiral $p\pm i p$ superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands…

Superconductivity · Physics 2018-09-26 Daniel Ariad , Yshai Avishai , Eytan Grosfeld

The observation of metallic ground states in a variety of two-dimensional electronic systems poses a fundamental challenge for the theory of electron fluids. Here, we analyze evidence for the existence of a regime, which we call the…

Superconductivity · Physics 2019-02-06 Aharon Kapitulnik , Steven A. Kivelson , Boris Spivak

While the intrinsic anomalous Hall conductivity is normally written in terms of an integral of the electronic Berry curvature over the occupied portions of the Brillouin zone, Haldane has recently pointed out that this quantity (or more…

Materials Science · Physics 2009-12-17 Xinjie Wang , David Vanderbilt , Jonathan R. Yates , Ivo Souza

We study transport properties of a topological insulator nanowire when a magnetic field is applied along its length. We predict that with strong surface disorder, a characteristic signature of the band topology is revealed in Aharonov Bohm…

Mesoscale and Nanoscale Physics · Physics 2011-06-15 Yi Zhang , Ashvin Vishwanath

We have proposed a model Hamiltonian, which describes a simple physical picture that the holes with single occupation constraint introduced by doping move in the antiferromagnetic background of the copper spins, to describe the normal state…

Condensed Matter · Physics 2009-10-28 Yu-Liang Liu

Electrical transport measurements are used to study the Rh-doped NaFeAs superconductor series with a focus on the tetragonal phase. The resistivity curvature has an anomalous temperature dependence evidencing in the phase diagram two…