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Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moir\'e materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Tingxin Li , Shengwei Jiang , Bowen Shen , Yang Zhang , Lizhong Li , Trithep Devakul , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Jie Shan , Kin Fai Mak

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that irrespective of the interaction strength the Hall conductivity is given by the filling fraction of Landau levels averaged over…

Mesoscale and Nanoscale Physics · Physics 2020-01-20 Xi Wu , M. A. Zubkov

We study Faraday rotation in the quantum relativistic limit. Starting from the photon self-energy in the presence of a constant magnetic field the rotation of the polarization vector of a plane electromagnetic wave which travel along the…

High Energy Physics - Phenomenology · Physics 2013-12-20 L. Cruz Rodriguez , A. Perez Martinez , H. Perez Rojas , E. Rodriguez Querts

The anomalous Hall effect for type-II superconductors is investigated by random walk theorem. It is shown that the origin of Hall anomaly is induced by the thermally activated vortex bundle flow (TAVBF) over the directional-dependent energy…

Superconductivity · Physics 2011-01-18 Ming Ju Chou , Wei Yeu Chen

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

At very large tilt of the magnetic (B) field with respect to the plane of a two-dimensional electron system the transport in the integer quantum Hall regime at $\nu$ = 4, 6, and 8 becomes strongly anisotropic. At these filling factors the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two dimensional Topological insulators. In the case of the Quantum Anomalous Hall effect the induced transverse…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alberto Cortijo

The anomalous Hall effect, observed in conducting ferromagnets with broken time-reversal symmetry, offers the possibility to couple spin and orbital degrees of freedom of electrons in ferromagnets. In addition to charge, the anomalous Hall…

Materials Science · Physics 2018-07-04 Yumeng Yang , Ziyan Luo , Haijun Wu , Yanjun Xu , Run-Wei Li , Stephen J. Pennycook , Shufeng Zhang , Yihong Wu

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 Hall effect arises in a plasma when electrons are able to drift with the magnetic field but ions cannot. In a fully-ionized plasma this occurs for frequencies between the ion and electron cyclotron frequencies because of the larger ion…

Astrophysics · Physics 2009-11-13 B. P. Pandey , Mark Wardle

Hall effect of two-dimensional holes that are spin-polarized by a strong parallel magnetic field was explored with a small tilt angle. The Hall resistivity increases nonlinearly with the magnetic field and exhibits negative corrections. The…

Mesoscale and Nanoscale Physics · Physics 2009-09-23 Hwayong Noh , S. Lee , S. H. Chun , H. C. Kim , L. N. Pfeiffer , K. W. West

Quantum anomalous Hall effect has been widely explored in both ferromagnetic and antiferromagnetic systems. Here, we propose an interaction-driven paramagnetic quantum anomalous Hall effect emerging in the Fermion-Hubbard model on a dice…

Strongly Correlated Electrons · Physics 2025-07-15 Yedi Shen , Sanyi You , Zhenhua Qiao , Qian Niu

The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems,…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Zlatko Papić , Ajit C. Balram

The recent prediction, and subsequent discovery, of the quantum anomalous Hall (QAH) effect in thin films of the three-dimensional ferromagnetic topological insulator (MTI) (Cr$_y$Bi$_x$Sb$_{1-x-y}$)$_2$Te$_3$ has opened new possibilities…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 I. T. Rosen , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…

By using the effective bosonic spin theory, which is recently proposed by Demler and Das Sarma [ Phys. Rev. Lett. 82, 3895 (1999) ], we analyze the effect of an external in-plane magnetic field on the magnetic phase transitions of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Min-Fong Yang , Ming-Che Chang

Quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon in condensed matter physics. Until now, the only experimental realization of the QAHE has been observed for Cr/V-doped (Bi,Sb)$_2$Te$_3$ but at extremely low…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 Xinzhou Deng , Hualing Yang , Shifei Qi , Xiaohong Xu , Zhenhua Qiao

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

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

An excitation of a large-amplitude out-of-plane magnetization oscillation in a ferromagnet by the spin Hall effect is of great interest for practical applications such as microwave generator and neuromorphic computing. However, both…

Mesoscale and Nanoscale Physics · Physics 2021-04-12 Tomohiro Taniguchi