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We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip, using boundary conditions to investigate the influence of finite-size effects on the Hall conductivity. By exploiting the translation symmetry…

Mesoscale and Nanoscale Physics · Physics 2023-01-26 Giuliano Angelone , Manuel Asorey , Paolo Facchi , Davide Lonigro , Yisely Martinez

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

The anomalous Hall effect (AHE) around the flux state in square Kondo lattice is investigated. By introducing the lattice distortion and local chirality, the square Kondo lattice can break the parity symmetry and time reversal symmetry…

Strongly Correlated Electrons · Physics 2010-02-25 Xiao Chen , Shuai Dong , J. -M. Liu

Kubo formula is used to get the scaling behavior of the static conductance distribution of wide wires showing pure non-diagonal disorder. Following recent works that point to unusual phenomena in some circumstances, scaling at the band…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. A. Verges

An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that the currents do not flow outside the sample. With this…

Condensed Matter · Physics 2009-10-28 Naoto Nagaosa , Mahito Kohmoto

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

Skew scattering on rare impurity configurations is shown to dominate the anomalous Hall effect in a 2D Rashba ferromagnet. The mechanism originates in scattering on rare impurity pairs separated by distances of the order of the Fermi wave…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

We examine the physical implications of the viscous redundancy of two-dimensional anisotropic fluids, where different components of the viscosity tensor lead to identical effects in the bulk of a system [Rao and Bradlyn, Phys. Rev. X…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 Pranav Rao , Barry Bradlyn

Building on previous work, we calculate the temperature- and frequency-dependent {\it anomalous} Hall conductivity for the putative multiband chiral superconductor $\Sr$ using a simple microscopic two-orbital model without impurities. A…

Superconductivity · Physics 2013-08-01 Edward Taylor , Catherine Kallin

In absence of time-reversal symmetry, viscous electron flow hosts a number of interesting phenomena, of which we focus here on the Hall viscosity. Taking a step beyond the hydrodynamic definition of the Hall viscosity, we derive a…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Tobias Holder , Raquel Queiroz , Ady Stern

We consider the impact of electron-electron interactions on the temperature dependence of the anomalous Hall effect in disordered conductors. The microscopic analysis is carried out within the diagrammatic approach of the linear response…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Songci Li , Alex Levchenko

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko

The existence of new transport phenomena associated to the presence of quantum anomalies has atracted very recently the attention of theorist. These transport coefficient have very interesting properties, for example, they do not…

High Energy Physics - Theory · Physics 2013-07-03 Francisco Pena-Benitez

In condensed matter physics, one of the major topics is to find out and classify interesting novel topological matters and phenomena. Topologically nontrivial systems can also be achieved by using periodical driving fields. On the other…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Jin-Yu Zou , Bang-Gui Liu

The edge Hall conductivity is shown to be an integer multiple of $e^2/h$ which is almost surely independent of the choice of the disordered configuration. Its equality to the bulk Hall conductivity given by the Kubo-Chern formula follows…

Mesoscale and Nanoscale Physics · Physics 2016-10-28 H. Schulz-Baldes , J. Kellendonk , Th. Richter

The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems, and may…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 Chao-Xing Liu , Shou-Cheng Zhang , Xiao-Liang Qi

We theoretically investigate a photonic Kagome lattice which can be realized in microwave cavity arrays using current technology. The Kagome lattice exhibits an exotic band structure with three bands one of which can be made completely…

Quantum Gases · Physics 2012-12-06 Alexandru Petrescu , Andrew A. Houck , Karyn Le Hur

We investigated some influences of unconventional physics, such Lorentz-symmetry violation, for quantum mechanical systems. In this context, we calculated a important contribution for Standard Model Extension. In the non-relativistic limit,…

High Energy Physics - Theory · Physics 2012-11-13 L. R. Ribeiro , E. Passos , C. Furtado

A particle beam may undergo an anomalous spatial shift when it is reflected at an interface. The shift forms a vector field defined in the two-dimensional interface momentum space. We show that, although the shift vector at individual…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Ying Liu , Zhi-Ming Yu , Cong Xiao , Shengyuan A. Yang