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We study the quantum Hall effect of 2D electron gas in black phosphorus in the presence of perpendicular electric and magnetic fields. In the absence of a bias voltage, the external magnetic field leads to a quantization of the energy…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Shengjun Yuan , Edo van Veen , Mikhail I. Katsnelson , Rafael Roldán

Spin-Hall conductivity (SHC) of fully relativistic (4x4 matrix) Dirac electrons is studied based on the Kubo formula aiming at possible application to bismuth and bismuth-antimony alloys. It is found that there are two distinct…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 Yuki Fuseya , Masao Ogata , Hidetoshi Fukuyama

The combination of Dirac physics and elasticity has been explored at length in graphene where the so--called "elastic gauge fields" have given rise to an entire new field of research and applications: Straintronics. The fact that these…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Alberto Cortijo , Yago Ferreirós , Karl Landsteiner , María A. H. Vozmediano

It is known that the Shubnikov--de Haas oscillations can be observed in the Hall resistivity, although their amplitude is much weaker than the amplitude of the diagonal resistivity oscillations. Employing a model of two-dimensional massive…

Strongly Correlated Electrons · Physics 2016-02-23 V. Yu. Tsaran , S. G. Sharapov

We report the occurrence of ferromagnetic-like anomalous Hall effect (AHE) below $30$ mT in bismuth single and policrystals. The signatures of ferromagnetism in transport are not corroborated in magnetization measurements, thus suggesting…

Strongly Correlated Electrons · Physics 2021-03-03 Bruno Camargo , Piort Gierlowski , Andrei Alaferdov , Iraida Demchenko , Maciej Sawicki , Katarzyna Gas , Yakov Kopelevich

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 propose an unconventional type of Hall effect in a topological Dirac semimetal with ferromagnetic electrodes. The topological Dirac semimetal itself has time-reversal symmetry, whereas attached ferromagnetic electrodes break it, causing…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Koji Kobayashi , Kentaro Nomura

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

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

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 identify an intrinsic Hall effect in multiband chiral superconductors in the absence of a magnetic field (i.e., an anomalous Hall effect). This effect arises from interband transitions involving time-reversal symmetry-breaking chiral…

Superconductivity · Physics 2015-03-19 Edward Taylor , Catherine Kallin

We investigate magnetoresistivity and the Hall effect in a 6.3 nm gapless HgTe quantum well - a two-dimensional hybrid band system featuring coexisting linear (Dirac-like) and parabolic hole energy bands at low energies. Using a classical…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 G. M. Gusev , A. D. Levin , V. A. Chitta , Z. D. Kvon , N. N. Mikhailov

Itinerant ferromagnets constitute an important class of materials wherein spin-polarization can affect the electric transport properties in nontrivial ways. One such phenomenon is anomalous Hall effect which depends on the details of the…

We investigate the intrinsic spin Hall effect in two-dimensional electron gases in quantum wells with two subbands, where a new intersubband-induced spin-orbit coupling is operative. The bulk spin Hall conductivity $\sigma^z_{xy}$ is…

Mesoscale and Nanoscale Physics · Physics 2009-10-15 Minchul Lee , Marco O. Hachiya , E. Bernardes , J. Carlos Egues , Daniel Loss

The anomalous Hall effect in two-dimensional ferromagnets is discussed to be the physical realization of the parity anomaly in (2+1)D, and the band crossing points behave as the topological singularity in the Brillouin zone. This appears as…

Strongly Correlated Electrons · Physics 2009-11-07 Masaru Onoda , Naoto Nagaosa

We report on a theoretical study of the transport properties of two coupled two-dimensional electron systems subject to in-plane magnetic fields. The charge redistribution in double wells induced by the Lorenz force in crossed electric and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Kolorenc , L. Smrcka , P. Streda

Within a Supersymmetric Quantum Mechanics (SUSY-QM) framework, the (3+1) Dirac equation describing a Dirac material in the presence of external parallel electric and magnetic fields is solved. Considering static but non-uniform electric and…

High Energy Physics - Theory · Physics 2023-06-29 Julio Cesar Pérez-Pedraza , Juan D. García-Muñoz , A. Raya

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…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

Electrons in solids are characterized by the energy bands, which indicate that electrons are considered to be "elementary particles" with specific effective masses and g-factors reflecting features of each solid. There are cases where these…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Hidetoshi Fukuyama , Akito Kobayashi , Yoshikazu Suzumura

We consider the Hall conductivity of two-dimensional non-interacting Bloch electrons when the magnetic flux per unit cell is a rational number $p/q$ where $p$ and $q$ are mutually coprime. We present a counter-example for the naive…

Condensed Matter · Physics 2009-10-22 Masaki Oshikawa