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We investigate the emergence of quantum anomalous Hall conductivity in a two-dimensional $d$-wave altermagnet on a Lieb lattice under an external magnetic field. Altermagnetic order induces momentum-dependent spin splitting without net…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Meysam Bagheri Tagani , Amar Fakhredine , Carmine Autieri

The electronic anomalous Hall effect (AHE), where charge carriers acquire a velocity component orthogonal to an applied electric field, is one of the most fundamental and widely studied phenomena in physics. There are several different AHE…

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

Motivated by the experimental discovery of the fractional quantum anomalous Hall (FQAH) effect, we develop a theory of doping-induced transitions out of the $\nu = 2/3$ lattice Jain state in the presence of quenched disorder. We show that…

Strongly Correlated Electrons · Physics 2025-06-12 Zhengyan Darius Shi , T. Senthil

In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Peizhi Mai , Jinchao Zhao , Benjamin E. Feldman , Philip W. Phillips

Layered singlet paired superconductors with disorder and broken time reversal symmetry are studied. The phase diagram demonstrates charge-spin separation in transport. In terms of the average intergrain transmission and the interlayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Kagalovsky , B. Horovitz , Y. Avishai

We study the effect of disorder on the anomalous Hall effect (AHE) in two-dimensional ferromagnets. The topological nature of AHE leads to the integer quantum Hall effect from a metal, i.e., the quantization of $\sigma_{xy}$ induced by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Masaru Onoda , Naoto Nagaosa

We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac semimetal with a flat boundary. The conformally invariant boundary conditions, which include those that are time-reversal invariant, lead to…

Disordered Systems and Neural Networks · Physics 2024-05-09 Eric Brillaux , Andrei A. Fedorenko , Ilya A. Gruzberg

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

Topological insulators doped with transition metals have recently been found to host a strong ferromagnetic state with perpendicular to plane anisotropy as well as support a quantum Hall state with edge channel transport, even in the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Grauer , S. Schreyeck , M. Winnerlein , K. Brunner , C. Gould , L. W. Molenkamp

The quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) represents a new state of matter originated from the interplay between topology and magnetism. The defining characteristics of the QAH ground state are the…

Mesoscale and Nanoscale Physics · Physics 2021-03-26 Chang Liu , Yunbo Ou , Yang Feng , Gaoyuan Jiang , Weixiong Wu , Shaorui Li , Zijia Cheng , Ke He , Xucun Ma , Qikun Xue , Yayu Wang

Surface states of a topological insulator demonstrate interesting quantum phenomena, such as the quantum anomalous Hall (QAH) effect and the quantum magnetoelectric effect. Fermi energy tuning plays a role in inducing phase transitions and…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Ryota Watanabe , Ryutaro Yoshimi , Kei S. Takahashi , Atsushi Tsukazaki , Masashi Kawasaki , Minoru Kawamura , Yoshinori Tokura

The quest for the topological phases of matter in an aperiodic system has been greatly developed recently. Here we investigate the effects of disorder on topological phases of a two-dimensional Ammann-Beenker tiling quasicrystalline…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Tan Peng , Chun-Bo Hua , Rui Chen , Dong-Hui Xu , Bin Zhou

We demonstrate that, apart from the chiral anomaly, Dirac semimetals possess another quantum anomaly, which we call the mirror anomaly, and which manifests in a singular response of the Dirac semimetal to an applied magnetic field. Namely,…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 A. A. Burkov

The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate…

High Energy Physics - Theory · Physics 2017-04-05 Christian Copetti , Jorge Fernández-Pendás , Karl Landsteiner

The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM) to a coherent-potential approximation…

Strongly Correlated Electrons · Physics 2008-03-25 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

The phonon induced anomalous Hall or thermal Hall effects have been observed in various systems in recent experiments. However, the theoretical studies on this subject are very scarce and incomplete. In this work, we present a systematic…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Jia-Xing Zhang , Wei Chen

The quantum anomalous Hall effect (QAHE) has recently been reported to emerge in magnetically-doped topological insulators. Although its general phenomenology is well established, the microscopic origin is far from being properly understood…