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We investigate the first-order correction to the anomalous Hall conductivity of 2D massive Dirac fermions arising from electron-electron interactions. In a fully gapped system in the limit of zero temperature, we find that this correction…

介观与纳米尺度物理 · 物理学 2024-04-22 A. Daria Dumitriu-I. , Darius-A. Deaconu , Alexander E. Kazantsev , Alessandro Principi

We consider the effects of disorder in a Dirac-like Hamiltonian. In order to use conformal perturbation theory, we argue that one should consider disorder in an imaginary vector potential. This affects significantly the signs of the lowest…

介观与纳米尺度物理 · 物理学 2009-01-23 Andre' LeClair

Motivated by recent experiments on rhombohedral stacked multilayer graphene and the observation of the anomalous Hall effect in a spontaneous spin-valley polarized quarter metal state, we calculate the anomalous Hall conductivity for this…

介观与纳米尺度物理 · 物理学 2026-04-15 Vera Mikheeva , Daniele Guerci , Daniel Kaplan , Elio J. König

Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal…

介观与纳米尺度物理 · 物理学 2023-07-18 Rui Chen , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

介观与纳米尺度物理 · 物理学 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The anomalous Hall effect and the closely related polar Kerr effect are among the most direct evidence of chiral Cooper pairing in some superconductors. While it has been known that disorder or multiband pairing is typically needed for…

超导电性 · 物理学 2024-01-19 Hao-Tian Liu , Weipeng Chen , Wen Huang

We present a unified theory of charge carrier transport in 2D Dirac systems with broken mirror inversion and time-reversal symmetries (e.g., as realized in ferromagnetic graphene). We find that the entanglement between spin and pseudospin…

介观与纳米尺度物理 · 物理学 2018-09-21 Manuel Offidani , Aires Ferreira

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

介观与纳米尺度物理 · 物理学 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

Berry curvatures are computed for a set of Heusler compounds using density functional (DF) calculations and the wave functions that DF provide. The anomalous Hall conductivity is obtained from the Berry curvatures. It is compared with…

材料科学 · 物理学 2013-05-30 Jurgen Kubler , Claudia Felser

The quantum Hall effect and the quantum anomalous Hall effect both require time-reversal invariance to be broken. We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric…

介观与纳米尺度物理 · 物理学 2026-03-13 Alexander Fagerlund , Christopher Ekman , Rodrigo Arouca

Transport properties of dense quark matter are discussed in the strong magnetic field, B. B dependence as well as density dependence of the Hall conductivity is discussed in the inhomogeneous chiral phase. Anomalous Hall effect is intrinsic…

高能物理 - 唯象学 · 物理学 2021-01-26 Toshitaka Tatsumi , Hiroaki Abuki

The study of the non-linear anomalous Hall effect (NLAHE) in $\mathcal{P}\mathcal{T}$-symmetric systems has focussed on intrinsic mechanisms. Here we show that disorder contributes substantially to NLAHE and often overwhelms intrinsic…

介观与纳米尺度物理 · 物理学 2023-11-23 Rhonald Burgos Atencia , Di Xiao , Dimitrie Culcer

We study the role played by electron-magnon scattering in the anomalous Hall effect. We find that it has important contributions distinct from other scattering processes like impurities scattering and phonon scattering. As a demonstration,…

材料科学 · 物理学 2009-11-17 Shengyuan A. Yang , Hui Pan , Wong-Kong Tse , Qian Niu

Two-dimensional Dirac semimetals with a single massless Dirac cone exhibit the parity anomaly. Usually, such a kind of anomalous topological semimetallic phase in real materials is unstable where any amount of disorder can drive it into a…

介观与纳米尺度物理 · 物理学 2023-09-14 Zhen Ning , Xianyong Ding , Dong-Hui Xu , Rui Wang

Chiral superconductors exhibit novel transport properties that depend on the topology of the order parameter, topology of the Fermi surface, the spectrum of bulk and edge Fermionic excitations, and the structure of the impurity potential.…

超导电性 · 物理学 2020-04-15 Vudtiwat Ngampruetikorn , J. A. Sauls

The half-quantized Hall conductance is characteristic of quantum systems with parity anomaly. Here we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with…

介观与纳米尺度物理 · 物理学 2022-05-18 Jin-Yu Zou , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

I examine a model for the Hall effect in the strongly correlated regime. It emerges from an approach proposed in my previous articles [e.g. J. Phys. Chem. Solids, 65 (2004), 1507-1515; J. Geom. Phys., in press, cf. math-ph/0409023]. The…

超导电性 · 物理学 2007-05-23 Artur Sowa

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

介观与纳米尺度物理 · 物理学 2024-02-19 Sharareh Sayyad

We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be…

介观与纳米尺度物理 · 物理学 2011-09-02 Huabi Zeng

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…

介观与纳米尺度物理 · 物理学 2015-05-13 Katsuhisa Taguchi , Gen Tatara