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We study the anomalous thermoelectric Hall response of two-dimensional massive Dirac fermions to first order in the electron-electron interaction. We compute both the Nernst response to a Luttinger-type gravitational potential and the…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 A. Daria Dumitriu-I. , Feng Liu , Alexander E. Kazantsev , Alessandro Principi

Electric conductivities may reveal the topological and magnetic properties of band structures in solids, especially for two-dimensional unpaired Dirac fermions. In this work, we evaluate the longitudinal and Hall conductivity for unpaired…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Bo Fu , Kai-Zhi Bai , Shi-Hao Bi , Shun-Qing Shen

We report the observation of nonlinear anomalous Hall effect (NLAHE) in the multilayered organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ in the charge order (CO) insulating phase just under the critical pressure for transition into…

Strongly Correlated Electrons · Physics 2021-12-23 Andhika Kiswandhi , Toshihito Osada

The presence of two types of holes, namely the Dirac holes and the massive holes, in a two-dimensional sample exposed to an external permanent magnetic field leads to the emergence of the temperature and magnetic field-dependent…

Mesoscale and Nanoscale Physics · Physics 2025-12-18 Y. Huang , D. S. Eliseev , V. M. Kovalev , O. V. Kibis , Yu. Yu. Illarionov , I. G. Savenko

The long standing controversy concerning the effect of electron - electron interaction on the electrical conductivity of an ideal graphene sheet is settled. Performing the calculation directly in the tight binding approach without the usual…

Strongly Correlated Electrons · Physics 2015-06-11 B. Rosenstein , M. Lewkowicz , T. Maniv

Electron spin-momentum locking together with background magnetic textures can significantly alter the electron transport properties. We theoretically investigate the electron transport at the interface between a topological insulator and a…

Mesoscale and Nanoscale Physics · Physics 2017-10-13 Yasufumi Araki , Kentaro Nomura

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

Broken Galilean invariance in a spin-orbit coupled system can amplify many-body effects on its different responses. We study the anomalous Hall and spin Hall conductivities of a magnetic two-dimensional electron gas with Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Moslem Mir , Saeed H. Abedinpour

Anomalous Hall effect arises in systems with both spin-orbit coupling and magnetization. Generally, there are three mechanisms contributing to anomalous Hall conductivity: intrinsic, side jump, and skew scattering. The standard diagrammatic…

Disordered Systems and Neural Networks · Physics 2020-12-24 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

We present a systematic study of the corrections to both the longitudinal conductivity and Hall resistivity due to electron-electron interactions in high quality GaAs systems using the recent theory of Zala et al. [Phys. Rev. B 64, 214204…

The nonlinear behavior of the Hall resistivity at low magnetic fields in single quantum well GaAs/In$_x$Ga$_{1-x}$As/GaAs heterostructures with degenerated electron gas is studied. It has been found that this anomaly is accompanied by the…

Disordered Systems and Neural Networks · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , B. N. Zvonkov

Tang et al. [Science 361, 570 (2018)] report on the properties of Dirac fermions with both on-site and Coulomb interactions. The substantial decrease up to ~40% of the Fermi velocity of Dirac fermions with on-site interaction is…

Strongly Correlated Electrons · Physics 2019-12-23 Stephan Hesselmann , Thomas C. Lang , Michael Schuler , Stefan Wessel , Andreas M. Läuchli

We investigate the effect of electron-electron interaction on the temperature dependence of the Hall coefficient of 2D electron gas at arbitrary relation between the temperature $T$ and the elastic mean-free time $\tau$. At small…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gabor Zala , B. N. Narozhny , I. L. Aleiner

Both longitudinal and anomalous Hall conductivity are computed in the model of two-dimensional Dirac fermions with a mass in the presence of arbitrary correlated weak disorder. The anomalous Hall conductivity is shown to be highly sensitive…

Disordered Systems and Neural Networks · Physics 2018-01-03 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

The Hall effect, which originates from the motion of charged particles in magnetic fields, has deep consequences for the description of materials, extending far beyond condensed matter. Understanding such an effect in interacting systems…

Dirac fermions are actively investigated, and the discovery of the quantized anomalous Hall effect of massive Dirac fermions has spurred the promise of low-energy electronics. Some materials hosting Dirac fermions are natural platforms for…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Hong Liu , Weizhe Edward Liu , Dimitrie Culcer

Magnetic materials exhibiting topological Dirac fermions are attracting significant attention for their promising technological potential in spintronics. In these systems, the combined effect of the spin-orbit coupling and magnetic order…

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

We have discovered two-dimensional zero-gap material with a layered structure in the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ under high hydrostatic pressure. In contrast to graphene, the electron-hole symmetry is not good except at…

Mesoscale and Nanoscale Physics · Physics 2012-01-16 N. Tajima , R. Kato , S. Sugawara , Y. Nishio , K. Kajita

Motivated by the recent experimental observation of the half-quantized thermal Hall conductivity for the candidate material of the Kitaev spin liquid, $\alpha$-RuCl$_3$[ Y. Kasahara et al., Nature 559, 227 (2018)], we investigate effects of…

Strongly Correlated Electrons · Physics 2019-06-12 Daichi Takikawa , Satoshi Fujimoto
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