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Scaling theory predicts complete localization in $d=2$ in quantum systems belonging to orthogonal class (i.e. with time-reversal symmetry and spin-rotation symmetry). The conductance $g$ behaves as $g \sim exp(-L/l)$ with system size $L$…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Junjie Qi , Haiwen Liu , Chui-zhen Chen , Hua Jiang , X. C. Xie

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

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

An ultradense 2D electron system can be realized by adsorbing PH$_3$ precursor molecules onto an atomically clean Si surface, followed by epitaxial Si overgrowth. By controlling the PH$_3$ coverage the carrier density of such system can…

Condensed Matter · Physics 2007-05-23 M. A. Zudov , C. L. Yang , R. R. Du , T. -C. Shen , J. -Y. Ji , J. S. Kline , J. R. Tucker

Three-dimensional random electron systems undergo quantum phase transitions and show rich phase diagrams. Examples of the phases are the band gap insulator, Anderson insulator, strong and weak topological insulators, Weyl semimetal, and…

Disordered Systems and Neural Networks · Physics 2017-03-16 Tomi Ohtsuki , Tomoki Ohtsuki

We analyze here the behavior near the 2D insulator-superconductor quantum critical point in the presence of a perpendicular magnetic field. We show that with increasing field $H$, the quantum disordered and quantum critical regimes, in…

Condensed Matter · Physics 2009-11-07 Denis Dalidovich , Philip Phillips

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

We present a novel approach to the localization-delocalization transition in the integer quantum Hall effect. The Hamiltonian projected onto the lowest Landau level can be written in terms of the projected density operators alone. This and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jairo Sinova , V. Meden , S. M. Girvin

The question whether the Anderson-Mott localisation enhances or reduces magnetic correlations is central to the physics of magnetic alloys. Particularly intriguing is the case of (Ga,Mn)As and related magnetic semiconductors, for which…

We introduce and analyze a lattice model of anyons in a periodic potential and an external magnetic field which exhibits a transition from a Mott insulator to a quantum Hall fluid. The transition is characterized by the anyon statistics,…

Condensed Matter · Physics 2008-11-26 Wei Chen , Matthew P. A. Fisher , Yong-Shi Wu

Low-temperature magnetization curves of the classical frustrated ferromagnetic chain in the external magnetic field near the transition point between the ferromagnetic and the helical phases is studied. It is shown that the calculation of…

Statistical Mechanics · Physics 2013-05-29 D. V. Dmitriev , V. Ya. Krivnov , N. Yu. Kuzminyh

We describe magnetotransport experiments performed on Hall crosses made from quantum wires at LaAlO3/SrTiO3 interfaces. Shubnikov-de Haas oscillations measured in a 14-nm wide structure exhibit modulations that are consistent with…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Cheng Cen , Daniela F. Bogorin , Vanita Srinivasa , Jeremy Levy

The dynamical percolation transition of two dimensional Axial Next Nearest Neighbour Ising (ANNNI) model to pulsed magnetic field has been studied by finite size scaling analysis (by Monte Carlo simulation) for various values of frustration…

Statistical Mechanics · Physics 2013-03-05 Anjan Kumar Chandra

Motivated by the experimental results of Willett et al [Phys.Rev. Lett., {\bf 78}, 4478 (1997)] we develop a magneto-transport theory for the response of a two dimensional electron gas (2DEG) in the Fractional Quantum Hall Regime near…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nataliya A. Zimbovskaya , Joseph L. Birman

We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2017-04-28 A. M. Kadigrobov , M. V. Fistul

In highly doped uncompensated p-type layers within the central part of GaAs/AlGaAs quantum wells at low temperatures we observed an activated behavior of the conductivity with low activation energies (1-3) meV which can not be ascribed to…

Disordered Systems and Neural Networks · Physics 2015-05-13 N. V. Agrinskaya , V. I. Kozub , D. V. Shamshur

We compute AC electrical transport at quantum Hall critical points, as modeled by intersecting branes and gauge/gravity duality. We compare our results with a previous field theory computation by Sachdev, and find unexpectedly good…

High Energy Physics - Theory · Physics 2009-11-13 Janne Alanen , Esko Keski-Vakkuri , Per Kraus , Ville Suur-Uski

We report a continuous phase transition between quantum-anomalous-Hall and trivial-insulator phases in a magnetic topological insulator upon magnetization rotation. The Hall conductivity transits from one plateau of quantized Hall…

We determine the localization threshold in a partially filled and orbitally degenerate model of correlated electrons. Particular emphasis is put on a non-integer band filling, when the system decomposes into the localized and the itinerant…

Strongly Correlated Electrons · Physics 2015-06-25 Jakub Jedrak , Jozef Spalek , Gertrud Zwicknagl

Theory of weak localization is developed for two-dimensional holes in the presence of in-plane magnetic field. The Zeeman splitting even in the hole momentum results in the spin-dependent phase changing the quantum interference. The…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 M. O. Nestoklon , L. E. Golub
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