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Many intriguing phenomena occur for electrons under strong magnetic fields. Recently, it was proposed that an appropriate strain texture in graphene can induce a synthetic gauge field, in which the electrons behave like in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xinhua Wen , Chunyin Qiu , Yajuan Qi , Liping Ye , Manzhu Ke , Fan Zhang , Zhengyou Liu

Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting…

Strongly Correlated Electrons · Physics 2013-09-04 Armin Rahmani , Rodrigo A. Muniz , Ivar Martin

We predict the emergence and quantization of the valley Hall current of indirect excitons residing in noncentrosymmetric two-dimensional materials in the absence of an external magnetic field. Thus we report on the quantum anomalous valley…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 V. M. Kovalev , I. G. Savenko

The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. K. T Nguyen , A. Crepieux , T. Jonckheere , A. V. Nguyen , Y. Levinson , T. Martin

We study the quantum theory of two-dimensional electrons in a magnetic field and an electric field generated by a homogeneous background. The dynamics separates into a microscopic and macroscopic mode. The latter is a circular Hall current…

Mathematical Physics · Physics 2009-01-07 Nevena Ilieva , Walter Thirring

A novel plasma equilibrium in the high-$\beta$, Hall regime that produces centrally-peaked, high Mach number Couette flow is described. Flow is driven using a weak, uniform magnetic field and large, cross field currents. Large magnetic…

Plasma Physics · Physics 2020-09-30 K. Flanagan , J. Milhone , J. Egedal , D. Endrizzi , J. Olson , E. E. Peterson , R. Sassella , C. B. Forest

Commensurability is of paramount importance in numerous strongly interacting electronic systems. In the Fractional Quantum Hall effect, a rich cascade of increasingly narrow plateaux appear at larger denominator filling fractions. Rich…

Strongly Correlated Electrons · Physics 2016-07-20 Eran Sagi , Zohar Nussinov

In the quantum Hall regime, electronic correlations in double-layer two-dimensional electron systems are strong because the kinetic energy is quenched by Landau quantization. In this article we point out that these correlations are…

Condensed Matter · Physics 2009-10-28 T. Jungwirth , A. H. MacDonald

We report on the stability of the quantum Hall plateau in wide Hall bars made from a chemically gated graphene film grown on SiC. The $\nu=2$ quantized plateau appears from fields $B \simeq 5$ T and persists up to $B \simeq 80$ T. At high…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 M. Yang , O. Couturaud , W. Desrat , C. Consejo , D. Kazazis , R. Yakimova , M. Syväjärvi , M. Goiran , J. Béard , P. Frings , M. Pierre , A. Cresti , W. Escoffier , B. Jouault

An interaction of non-uniform plane elastic modes of the waveguide type with monolayer and double-layer quantum Hall systems is considered. It is shown, that unlike the case of the surface acoustic wave propagation, the restriction on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Fil

We present a study of current fluctuations in two models proposed as quantum shuttles. Based on a numerical evaluation of the first three cumulants of the full counting statistics we have recently shown that a giant enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

We study a delocalization transition for non-interacting quasiparticles moving in two dimensions, which belongs to a new symmetry class. This symmetry class can be realised in a dirty, gapless superconductor in which time reversal symmetry…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Kagalovsky , B. Horovitz , Y. Avishai , J. T. Chalker

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric field. Focusing on a clean noninteracting two-band system…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Vladyslav Kozii , Alexander Avdoshkin , Shudan Zhong , Joel E. Moore

We propose to realize the quantum nonlinear Hall effect and the inverse Faraday effect through the acoustic wave in a time-reversal invariant but inversion broken Dirac insulator. We focus on the acoustic frequency much lower than the Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ying Su , Alexander V. Balatsky , Shi-Zeng Lin

A profound manifestation of topologically non-trivial states of matter is the occurrence of fractionally charged elementary excitations. The quantum spin Hall insulator state is a fundamentally novel quantum state of matter that exists at…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

We study the phonon-assisted process of dissociation of a magnetoroton, in a fractional quantum Hall liquid, into an unbound pair of quasiparticles. Whilst the dissociation is forbidden to first order in the electron-phonon interaction, it…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 V. M. Apalkov , M. E. Portnoi

Quantum Hall phases are gapped in the bulk but support chiral edge modes, both charged and neutral. Here we consider a circuit where the path from the source of electric current to the drain necessarily passes through a segment consisting…

Mesoscale and Nanoscale Physics · Physics 2022-07-29 Ankur Das , Sumathi Rao , Yuval Gefen , Ganpathy Murthy

We propose a phenomenological model that describes counterflow and drag experiments with quantum Hall bilayers in a \nu_T=1 state. We consider the system consisting of statistically distributed areas with local total filling factors…

Strongly Correlated Electrons · Physics 2015-05-18 D. V. Fil , S. I. Shevchenko

A seminal gedankenexperiment by Laughlin describes the charge transport in quantum Hall systems via the pumping of flux. Here, we propose an optical scheme which probes and manipulates quantum Hall systems in a similar way: When light…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Bin Cao , Tobias Grass , Glenn Solomon , Mohammad Hafezi

Time-reversal symmetry suppresses electron backscattering in a quantum-spin-Hall edge, yielding quantized conductance at zero temperature. Understanding the dominant corrections in finite-temperature experiments remains an unsettled issue.…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Jukka I. Väyrynen , Dmitry I. Pikulin , Jason Alicea