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The transition from the quantum Hall state to the insulator is considered for non-interacting electrons in a two-dimensional disordered lattice model with perpendicular magnetic field. Using correlated random disorder potentials the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Potempa , L. Schweitzer

We present a study of the thermal Hall effect in the extended Heisenberg model with $XXZ$ anisotropy in the kagome lattice. This model has the particularity that, in the classical case, and for a broad region in parameter space, an external…

Strongly Correlated Electrons · Physics 2021-02-03 F. A. Gómez Albarracín , H. D. Rosales , Pierre Pujol

An anomalous Hall insulator without magnetic long-range ordering is theoretically reported in the absence of the relativistic spin-orbit coupling. It is realized in itinerant electrons coupled with the Ising spins on a <111> kagome plane of…

Strongly Correlated Electrons · Physics 2013-02-20 Hiroaki Ishizuka , Yukitoshi Motome

Thermoelectric transport of two-dimensional quantum spin Hall systems are theoretically studied in narrow ribbon geometry. We find that at high temperature electrons in the bulk states dominate. By lowering temperature, the "perfectly…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 Ryuji Takahashi , Shuichi Murakami

We consider the problem of quantum and classical phase transitions in double-layer quantum Hall systems at $\nu=1/m$ (m odd integers) from a long-wavelength statistical mechanics viewpoint. We derive an explicit mapping of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Lian Zheng

Experimental data on quantum phase transitions in two-dimensional systems (superconductor-insulator, metal-insulator, and transitions under conditions of integer quantum Hall effect) are critically analyzed.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. L. Shangina , V. T. Dolgopolov

We propose a theory for thermal Hall transport mediated by magnons to address the impact of their damping resulting from magnon-magnon interactions in insulating magnets. This phenomenon is anticipated to be particularly significant in…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu

We theoretically investigate electrical transport in a quantum Hall system hosting bulk and edge current carrying states. Spatially varying magnetic and electric confinement creates pairs of current carrying lines that drift in the same or…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Puja Mondal , Alain Nogaret , Sankalpa Ghosh

We reduce the problem of integer quantum Hall transition to a random rotation of an N-dimensional vector by an su(N) algebra, where only N specially selected generators of the algebra are nonzero. The group-theoretical structure revealed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Boldyrev , V. Gurarie

A model consisting of a mixture of superconducting and quantum links is proposed to describe the integer quantum Hall transition. The quantum links correspond to tunneling of electrons between trajectories trapped in adjacent potential…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yonatan Dubi , Yigal Meir , Yshai Avishai

The conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy. Here we identify a universal feature of these…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 I. C. Fulga , F. Hassler , A. R. Akhmerov , C. W. J. Beenakker

We report quantum Hall experiments on the plateau-insulator transition in a low mobility In_{.53} Ga_{.47} As/InP heterostructure. The data for the longitudinal resistance \rho_{xx} follow an exponential law and we extract a critical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. T. F. van Schaijk , A. de Visser , S. Olsthoorn , H. P. Wei , A. M. M. Pruisken

We report the observation of TEMPERATURE-INDUCED transitions between insulator, metal, and quantum-Hall behaviors for transport coefficients in the very dilute high mobility two-dimensional electron system in silicon. We consider the…

Condensed Matter · Physics 2007-05-23 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , J. M. Caulfield , J. Singleton , V. M. Pudalov

We find that in a multi-orbital system with intraorbital and interorbital hopping integrals, the Hall conductance exhibits various topological quantum phase transitions (QPTs) induced by on-site orbital polarization: integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2010-09-13 Yi-Fei Wang , Chang-De Gong

We present the first experimental evidence for the multifractality of a transport property at a topological phase transition. In particular, we show that conductance fluctuations display multifractality at the integer-quantum-Hall $\nu=1…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Kazi Rafsanjani Amin , Ramya Nagarajan , Rahul Pandit , Aveek Bid

A long skinny gate across a fractional quantum Hall fluid at filling $\nu=1/m$ with odd integer $m$, creates a novel one-dimensional (1d) system which is isomorphic to a disordered 1d electron gas with {\it attractive} interactions. By…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

We study the quantum phase transitions of a disordered two-dimensional quantum anomalous Hall insulator with $s$-wave superconducting proximity, which are governed by the percolation theory of chiral Majorana fermions. Based on symmetry…

Mesoscale and Nanoscale Physics · Physics 2018-03-15 Biao Lian , Jing Wang , Xiao-Qi Sun , Abolhassan Vaezi , Shou-Cheng Zhang

Using the non-commutative Kubo formula for aperiodic solids [1-3] and a recently developed numerical implementation [4], we study the conductivity $\sigma$ and resistivity $\rho$ tensors as functions of Fermi level and temperature, for…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Yu Xue , Emil Prodan

We investigate the integer Hall conductivity and longitudinal conductivity of silicene under the magnetic field, electric field, and exchange field in this letter. We focus not only on the low-temperature and $\delta$-function impurities…

Strongly Correlated Electrons · Physics 2019-02-20 Chen-Huan Wu

Recently, a zero Hall conductance plateau with random domains is experimentally observed in quantum anomalous Hall (QAH) effect. We study the effects of random domains on the zero Hall plateau in QAH insulators. We find the structure…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Chui-Zhen Chen , Haiwen Liu , X. C. Xie
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