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Microscopic processes giving the energy gain and loss of a two-dimensional electron system in long-range potential fluctuations are studied theoretically at the breakdown of the quantum Hall effect in the case of even-integer filling…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hiroshi Akera

Two-dimensional (2D) strongly correlated electron systems underlie many of the most important phenomena in contemporary condensed matter physics, including the Quantum Hall Effect (QHE), ``high T_c'' superconductivity, and possible exotic…

Strongly Correlated Electrons · Physics 2007-05-23 S. Mazumdar , R. T. Clay , D. K. Campbell

Usually the conductivity is quantized as the inverse of the resistivity, \rho=hc/ie^2, \sigma=ie^2/hc and the velocity versus the electric field is linear, v=\mu E where \mu is the mobility of the electrons.However,when the applied electric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use…

We study interaction-induced localization of electrons in an inhomogeneous quasi-one-dimensional system--a wire with two regions, one at low density and the other high. Quantum Monte Carlo techniques are used to treat the strong Coulomb…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 A. D. Guclu , C. J. Umrigar , Hong Jiang , H. U. Baranger

We study interaction effect of quantum spin Hall state in InAs/GaSb quantum wells under an in-plane magnetic field by using the self-consistent mean field theory. We construct a phase diagram as a function of intra-layer and inter-layer…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Lun-Hui Hu , Chih-Chieh Chen , Chao-Xing Liu , Fu-Chun Zhang , Yi Zhou

We report on the quantum Hall effect in two stacked graphene layers rotated by 2 degree. The tunneling strength among the layers can be varied from very weak to strong via the mechanism of magnetic breakdown when tuning the density.…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Youngwook Kim , Pilkyung Moon , Kenji Watanabe , Takashi Taniguchi , Jurgen H. Smet

A weakly bound electron in a semiconductor quantum wire is shown to become entangled with an itinerant electron via the coulomb interaction. The degree of entanglement and its variation with energy of the injected electron, may be tuned by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. H. Jefferson , A. Ramsak , T. Rejec

We address the experimentally relevant situation, where a non-equilibrium state is created at the edge of a quantum Hall system by injecting charge current into a chiral edge state with the help of a quantum point contact, quantum dots, or…

Mesoscale and Nanoscale Physics · Physics 2025-01-17 Edvin G. Idrisov , Ivan P. Levkivskyi , Eugene V. Sukhorukov

We consider a bi-layer electronic system at a total Landau level filling factor nu =1, and focus on the transition from the regime of weak inter-layer coupling to that of the strongly coupled (1,1,1) phase (or ''quantum Hall ferromagnet'').…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ady Stern , B. I. Halperin

We study the intra-planar tunneling between quantum Hall samples separated by a quasi one-dimensional barrier, induced through the interaction of edge degrees of freedom with the charge density waves of a Hall crystal defined in a parallel…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Moriconi

We study the nature of near-threshold eigenstates in systems with the attractive Coulomb plus short-range interactions. Using a model providing the Coulomb-modified effective range expansion, we analyze pole trajectories and the internal…

High Energy Physics - Phenomenology · Physics 2026-02-25 Tomona Kinugawa , Tetsuo Hyodo

We provide numerical evidence that the ground state of a short range interaction model at $\nu=1/2$ is incompressible and spin-singlet for a wide range of repulsive interactions. Furthermore it is accurately described by a trial wave…

Condensed Matter · Physics 2009-10-22 L. Belkhir , X. G. Wu , J. K. Jain

We study the influence of electron-electron interactions on the electronic properties of disordered materials. In particular, we consider the insulating side of a metal-insulator transition where screening breaks down and the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Frank Epperlein , Michael Schreiber , Thomas Vojta

We study the transconductance for two coupled one-dimensional wires or edge states described by Luttinger liquid models. The wires are assumed to interact over a finite segment. We find for the interaction parameter $g=1/2$ that the drag…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Karsten Flensberg

While usual edge states in the quantum Hall effect(QHE) reside between adjacent Landau levels, QHE in graphene has a peculiar edge mode at E=0 that reside right within the n=0 Landau level as protected by the chiral symmetry. We have…

Mesoscale and Nanoscale Physics · Physics 2008-11-04 Mitsuhiro Arikawa , Yasuhiro Hatsugai , Hideo Aoki

To investigate the coexistence of superconductivity and charge density wave (CDW) in a correlated regime, we employ the Green's functions formalism, as well as the Hubbard-I approximation, as a way to introduce the correlations into the…

Superconductivity · Physics 2026-01-30 E. J. Calegari , L. C. Prauchner , A. C. Lausmann , S. G. Magalhaes

We study the Coulomb drag between two spatially separated electron systems in a strong magnetic field, one of which exhibits the quantum Hall effect. At a fixed temperature, the drag mimics the behavior of $\sigma_{xx}$ in the quantum Hall…

Condensed Matter · Physics 2009-10-22 Efrat Shimshoni , S. L. Sondhi

The fractional quantum Hall effect (FQHE) of topological surface-state particles under a tilted strong magnetic field is theoretically studied by using the exact diagonalization method. The Haldane's pseudopotentials for the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Fawei Zheng , Zhigang Wang , Zhen-Guo Fu , Ping Zhang

In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy,…

Strongly Correlated Electrons · Physics 2021-06-15 Yuchi He , Kang Yang , Mark Oliver Goerbig , Roger S. K. Mong
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