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Active systems exhibit spontaneous flows induced by self-propulsion of microscopic constituents and can reach a nonequilibrium steady state without an external drive. Constructing the analogy between the quantum anomalous Hall insulators…

Soft Condensed Matter · Physics 2019-11-20 Kazuki Sone , Yuto Ashida

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Inti Sodemann , Liang Fu

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

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

We argue that all anomalous transport properties of coherent quantum quantum Hall bilayers can be understood in terms of a mean-field transport theory in which the condensate phase is nearly uniform across the sample, and the strength of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 I. Sodemann , H. Chen , A. H. MacDonald

Bilayer quantum Hall systems develop strong interlayer phase-coherence when the distance between layers is comparable to the typical distance between electrons within a layer. The phase-coherent state has until now been investigated…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Alexander V. Balatsky , Allan H. MacDonald

Physical properties of anisotropic compressible quantum Hall states and their implications to integer quantum Hall effect are studied based on a mean field theory on the von Neumann lattice. It is found that the Hall gas has unusual…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Ishikawa , N. Maeda

We review the construction of a low-energy effective field theory and its state space for "abelian" quantum Hall fluids. The scaling limit of the incompressible fluid is described by a Chern-Simons theory in 2+1 dimensions on a manifold…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Samuel Bieri , Juerg Froehlich

We systematically study the acousto-current of two-dimensional electron systems in the integer and fractional quantum Hall regimes using surface acoustic waves. We are able to separate the co-existing acoustic scattering and drag, when…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Renfei Wang , Xiao Liu , Mengmeng Wu , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Mansour Shayegan , Loren Pfeiffer , Xi Lin , Yang Liu

Understanding topological phases of matter is essential for advancing both the fundamental theory and practical applications of condensed matter physics. Recently, a theoretical framework for a quantum Hall system with an expanding edge…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Yuuki Sugiyama , Tokiro Numasawa

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $(\nu_{\text{top}},\nu_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

Anomalous Hall effect studies on ultrathin Si(50Angstrom)/Fe(t_Fe) bilayers were performed at 300 K. Giant enhancements of about 60 times in saturation anomalous Hall resistivity and 265 times in anomalous Hall coefficient (R_s) were…

Materials Science · Physics 2026-01-19 S. S. Das , M. Senthil Kumar

Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

The transresistance and the Hall transresistance of dirty two-dimensional bi-layer systems in the presence of tunneling bridges (pinholes) are studied theoretically. We find, at weak magnetic field, a non-zero Hall transresistance. In a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuval Oreg , Bertrand I. Halperin

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

We use high-mobility bilayer hole systems with negligible tunneling to examine how the bilayer nu = 1 quantum Hall state evolves as charge is transferred from one layer to the other at constant total density. We map bilayer nu = 1 state…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. R. Clarke , A. P. Micolich , A. R. Hamilton , M. Y. Simmons , C. B. Hanna , J. R. Rodriguez , M. Pepper , D. A. Ritchie

Filling factor $\nu=1$ incompressible states in ideal bilayer quantum Hall systems have spontaneous interlayer phase coherence and can be regarded either as easy-plane pseudospin ferromagnets or as condensates of excitons formed from…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi , Allan H. MacDonald