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Strong interactions between electrons occupying bands of opposite (or like) topological quantum numbers (Chern$=\pm1$), and with flat dispersion, are studied by using lowest Landau level (LLL) wavefunctions. More precisely, we determine the…

Strongly Correlated Electrons · Physics 2020-12-15 P. Myles Eugenio , Ceren B. Dağ

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

Materials Science · Physics 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

It has been suggested that materials which break spatial inversion symmetry, but not time reversal symmetry, will be optically gyrotropic and display a nonlocal Hall effect. The associated optical rotary power and the suggested possibility…

Strongly Correlated Electrons · Physics 2015-02-25 Martin Gradhand , Jasper van Wezel

We extend the coupled-wire construction of quantum Hall phases, and search for fractional topological insulating states in models of weakly coupled wires at zero external magnetic field. Focussing on systems beyond double copies of…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Tobias Meng , Eran Sela

Twisted bilayer transition metal dichalcogenide semiconductors, which support flat Chern bands with enhanced interaction effects, realize a platform for fractional Chern insulators and fractional quantum spin Hall (FQSH) insulators. A…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Kaifei Kang , Yichen Qiu , Bowen Shen , Kihong Lee , Zhengchao Xia , Yihang Zeng , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

We recently proposed quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions [Phys. Rev. Lett. 125, 030504 (2020)]. Conceptually, the scheme is based on the idea that aphysical monolayer optical…

We show that a moderately strong constant electric field in the plane of a monolayer graphene sheet can create particle-hole pairs at an observable rate. The pairs undergo zitterbewegung in opposite directions leading to a Hall-like…

Mesoscale and Nanoscale Physics · Physics 2008-06-03 J. C. Martinez , M. B. A. Jalil , S. G. Tan

Anomalous Hall effect (AHE), occurring in materials with broken time-reversal symmetry, epitomizes the intricate interplay between magnetic order and orbital motions of electrons[1-4]. In two dimensional (2D) systems, AHE is always coupled…

Mesoscale and Nanoscale Physics · Physics 2025-05-08 Qingxin Li , Hua Fan , Min Li , Yinghai Xu , Junwei Song , Kenji Watanabe , Takashi Taniguchi , Hua Jiang , X. C. Xie , James Hone , Cory Dean , Yue Zhao , Jianpeng Liu , Lei Wang

We discover an intrinsic dipole Hall effect in a variety of magnetic insulating states at integer fillings of twisted MoTe$_2$ moir\'e superlattice, including topologically trivial and nontrivial ferro-, antiferro-, and ferri-magnetic…

Strongly Correlated Electrons · Physics 2024-09-16 Feng-Ren Fan , Cong Xiao , Wang Yao

We show that there exist two dimensional (2D) time reversal invariant fractionalized insulators with the property that both their boundary with the vacuum and their boundary with a topological insulator can be fully gapped without breaking…

Strongly Correlated Electrons · Physics 2014-04-21 Chenjie Wang , Michael Levin

The experimentally observed correlated insulating states and quantum anomalous Hall (QAH) effect in twisted bilayer graphene (TBG) have drawn significant attention. However, up to date, the specific mechanisms of these intriguing phenomena…

Strongly Correlated Electrons · Physics 2021-01-27 Jianpeng Liu , Xi Dai

The Nernst effect is a fundamental thermoelectric conversion phenomenon that was deemed to be possible only in systems with magnetic field or magnetization. In this work, we propose a novel dynamical chiral Nernst effect that can appear in…

Mesoscale and Nanoscale Physics · Physics 2024-06-17 Juncheng Li , Dawei Zhai , Cong Xiao , Wang Yao

In recent breakthrough experiments, twisted moir\'e layers of transition metal dichalcogenides are found to manifest both integer (IQAHE) and fractional (FQAHE) quantum anomalous Hall effects in zero applied magnetic field because of the…

Mesoscale and Nanoscale Physics · Physics 2024-03-29 Sankar Das Sarma , Ming Xie

We investigate interaction effects in three dimensional weak topological insulators (TI) with an even number of Dirac cones on the surface. We find that the surface states can be gapped by a surface charge density wave (CDW) order without…

Mesoscale and Nanoscale Physics · Physics 2012-05-15 Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

We study a one-band Hubbard model of twisted bilayer cuprates with a twist angle of $53.13^\circ$. By introducing an inter-layer bias, we simulate heterobilayers of different dopings. Using the variational cluster approximation (VCA) we…

Strongly Correlated Electrons · Physics 2023-11-07 Mathieu Bélanger , David Sénéchal

Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay between strong correlations and topological phenomena in two-dimensional systems. The existence of multiple electronic degrees of freedom -- charge, spin,…

Strongly Correlated Electrons · Physics 2021-01-27 Yuan Da Liao , Jian Kang , Clara N. Breiø , Xiao Yan Xu , Han-Qing Wu , Brian M. Andersen , Rafael M. Fernandes , Zi Yang Meng

The quintessential two-dimensional lattice model that describes the competition between the kinetic energy of electrons and their short-range repulsive interactions is the repulsive Hubbard model. We study a time-reversal symmetric variant…

Strongly Correlated Electrons · Physics 2012-01-26 Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry

We observe the inverse spin Hall effect in a two-dimensional electron gas confined in AlGaAs/InGaAs quantum wells. Specifically, we find that an inhomogeneous spin density induced by the optical injection gives rise an electric current…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Baoli Liu , Junren Shi , Wenxin Wang , Hongming Zhao , Dafang Li , Shoucheng Zhang , Qikun Xue , Dongmin Chen

We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant $h/e^2$ at zero magnetic field.The effect is driven by intrinsic strong…

Strongly Correlated Electrons · Physics 2020-03-18 M. Serlin , C. L. Tschirhart , H. Polshyn , Y. Zhang , J. Zhu , K. Watanabe , T. Taniguchi , L. Balents , A. F. Young

Breaking of inversion symmetry leads to nonlinear and nonreciprocal electron transport, in which the voltage response does not invert with the reversal of the current direction. Many systems have incorporated inversion symmetry breaking…

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