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The ordinary Hall effect is driven by the Lorentz force, while its anomalous counterpart occurs in ferromagnets. Here we show that the Berry curvature monopole of non-magnetic 2D spin-3/2 holes leads to a novel Hall effect linear in an…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 James H. Cullen , Pankaj Bhalla , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

We analytically show that a gap is induced around the Dirac point in the electronic spectrum of a previously metallic nanotube, in the presence of electric and magnetic fields perpendicular to the tube axis. For realistic values of the…

Mesoscale and Nanoscale Physics · Physics 2011-05-25 J. D. Brand , I. Snyman

The quantum anomalous Hall (QAH) effect is conventionally understood to exist only in Chern insulators, while a recent study has shown that ferromagnetic metals can also host the QAH effect. Between insulators and metals, we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Peng-Yi Liu , Yu-Hao Wan , Qing-Feng Sun

We present a theory of the anomalous Hall effect in ferromagnetic (Mn,III)V semiconductors. Our theory relates the anomalous Hall conductance of a homogeneous ferromagnet to the Berry phase acquired by a quasiparticle wavefunction upon…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Jungwirth , Qian Niu , A. H. MacDonald

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

An ab initio based theoretical approach to describe nonequilibrium many-body effects in molecular transport is developed. We introduce a basis of localized molecular orbitals and formulate the many-body model in this basis. In particular,…

Mesoscale and Nanoscale Physics · Physics 2013-12-12 Dmitry A. Ryndyk , Andrea Donarini , Milena Grifoni , Klaus Richter

We present a Boltzmann equation analysis of the transport properties of a model of electrons with a lifetime which is short everywhere except near the Brillouin zone diagonals. The anomalous lifetime is directly implied by photoemission and…

Superconductivity · Physics 2007-05-23 L. B. Ioffe , A. J. Millis

We study theoretically the anomalous Hall effect due to the vector spin chirality carried by the local spins in the $s$-$d$ model. We will show that the vector spin chirality indeed induces local Hall effect in the presence of the electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Katsuhisa Taguchi , Gen Tatara

Topological Hall effect (THE) of electrons coupled to a noncoplanar spin texture has been studied so far for the strong- and weak-coupling regimes separately; the former in terms of the Berry phase and the latter by perturbation theory. In…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Kazuki Nakazawa , Manuel Bibes , Hiroshi Kohno

Orbitronics has recently emerged as a very active research topic after several proposals aiming to exploit the orbital degree of freedom for charge-free electronics. In this communication, we investigate orbital transport in selected…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Armando Pezo , Diego García Ovalle , Aurélien Manchon

The anomalous Hall effect (AHE) is highly sensitive to disorder in the metallic phase. Here we show that statistical correlations between the charge and spin disorder sectors strongly affect both the longitudinal conductivity and the…

Disordered Systems and Neural Networks · Physics 2019-09-25 Aydin Cem Keser , Roberto Raimondi , Dimitrie Culcer

We analyze the driven Harper model, which appears in the problem of tight-binding electrons in the Hall configuration (normal to the lattice plane magnetic field plus in-plane electric field). The presence of an electric field extends the…

Quantum Physics · Physics 2013-06-28 Andrey R. Kolovsky , Giorgio Mantica

In this paper, the anomalous Hall effect of topologically-nontrivial MXenes, $M_2M'$C$_2$O$_2$, and the electronic structure in the presence of magnetic proximity effect is theoretically investigated. The theoretical analysis is performed…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Tetsuro Habe

The temperature and magnetic field dependences of the anomalous Hall effect (AHE) are studied in Mn delta-doped semiconductor heterostructures with a two-dimensional hole gas in a quantum well interacting with the Mn layer. The analysis of…

Mesoscale and Nanoscale Physics · Physics 2017-08-11 L. N. Oveshnikov , V. A. Kulbachinskii , A. B. Davydov , B. A. Aronzon , I. V. Rozhansky , N. S. Avkeriev , K. I. Kugel , V. Tripathi

We report the discovery of phenomena consistent with bad-metal relaxation dynamics in the metallic regime of an optical-lattice Hubbard model. The transport lifetime induced by inter-particle scattering for a mass current of atoms excited…

Quantum Gases · Physics 2018-08-29 Wenchao Xu , William McGehee , William Morong , Brian DeMarco

In this study, we implemented a finite-difference algorithm for computing anomalous Hall and Nernst conductivity. Based on the expression to evaluate the Berry curvature in an insulating system [J. Phys. Soc. Jpn. 74 1674(2005)], we…

Materials Science · Physics 2023-01-10 Hikaru Sawahata , Naoya Yamaguchi , Susumu Minami , Fumiyuki Ishii

We investigate the topological insulating states of the $p$-band systems in optical lattices induced by the onsite orbital angular momentum polarization, which exhibit gapless edge modes in the absence of Landau levels. This effect arises…

Mesoscale and Nanoscale Physics · Physics 2008-11-01 Congjun Wu

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

The Berry phase due to the spin wavefunction gives rise to the orbital ferromagnetism and anomalous Hall effect in the non-coplanar antiferromagnetic ordered state on face centered cubic (fcc) lattice once the crystal is distorted…

Strongly Correlated Electrons · Physics 2009-11-07 Ryuichi Shindou , Naoto Nagaosa

Ultrafast quantum matter experiments have validated predictions from Floquet theory - notably, the dynamical modification of the electronic band structure and the light-induced anomalous Hall effect, via monotonic modulation of the driving…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Andrew Cupo , Hai-Ping Cheng , Chandrasekhar Ramanathan , Lorenza Viola
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