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The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

A self-consistent Thomas-Fermi-Poisson based calculation scheme is used to achieve spin resolved incompressible strips (ISs). The effect of exchange and correlation is incorporated by an empirically induced g factor. A local version of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Afif Siddiki

We report on theoretical and experimental investigations of a novel hysteresis effect that has been observed on the magnetoresistance of quantum-Hall bilayer systems. Extending to these system a recent approach, based on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Afif Siddiki , Stefan Kraus , Rolf R. Gerhardts

An analytic closed form solution is derived for the bound states of electrons subject to a static, inhomogeneous ($1/r$-decaying) magnetic field, including the Zeeman interaction. The solution provides access to many-body properties of a…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Dominik Sidler , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We perform systematic numerical studies of the structure of spin-resolved compressible strips in split-gate quantum wires taking into account the exchange and correlation interactions within the density functional theory in the local…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Ihnatsenka , I. V. Zozoulenko

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. G. Vavilov , I. L. Aleiner , L. I. Glazman

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body…

General Physics · Physics 2018-02-07 Georgios Konstantinou , Konstantinos Moulopoulos

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens

The conductivity of a two-dimensional electron gas in a parallel magnetic field is calculated. We take into account the magnetic field induced spin-splitting, which changes the density of states, the Fermi momentum and the screening…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. T. Dolgopolov , A. Gold

Magnetic and charge susceptibilities of the two-dimensional repulsive Hubbard model are investigated applying a strong coupling diagram technique in which the expansion in powers of the hopping constants is used. For small lattices and high…

Strongly Correlated Electrons · Physics 2009-11-13 A Sherman , M Schreiber

We study the localization properties in the transition from a two-dimensional electron gas at zero magnetic field into an integer quantum Hall (QH) liquid. By carrying out a direct calculation of the localization length for a finite size…

Condensed Matter · Physics 2009-10-28 D. Z. Liu , X. C. Xie , Q. Niu

Current polarization induced rectification of the quantized Hall plateaus (QHPs) is studied within a Hartree type mean field approximation for asymmetrically depleted samples. We first investigate the existence of the current carrying…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 A. Siddiki

We discuss quantum Hall effects in a gapped insulator on a periodic two-dimensional lattice. We derive a universal relation among the the quantized Hall conductivity, and charge and flux densities per physical unit cell. This follows from…

Strongly Correlated Electrons · Physics 2020-02-04 Yuan-Ming Lu , Ying Ran , Masaki Oshikawa

The effect of a unidirectional periodic potential on the orientation of the stripe state is studied for the two-dimensional electron system at half-filled high Landau levels. By considering a quantum well with two electric subbands, it is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Shi-Jie Yang , Yue Yu

The mixed-state Hall resistivity and the longitudinal resistivity in superconducting MgB2 thin films have been investigated as a function of the magnetic field over a wide range of current densities from 100 to 10000 A/cm^2. We observe a…

Superconductivity · Physics 2009-11-07 W. N. Kang , Hyeong-Jin Kim , Eun-Mi Choi , Heon Jung Kim , Kijoon H. P. Kim , Sung-Ik Lee

We report an anti-levitation behavior of Landau levels in vanishing magnetic fields in a high quality hetero-junction insulated-gated field-effect transistor. We found, in the Landau fan diagram of electron density versus magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 W. Pan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We examine the influence of the edge electronic density profile and of dissipation on edge magnetoplasmons in the quantum Hall regime, in a semiclassical calculation. The equilibrium electron density on the edge, obtained using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. D. Johnson , G. Vignale

We present a detailed theory for finite-frequency conductivities Re$[\sigma_{\alpha\beta}(\omega)]$ of quantum Hall stripes, which form at Landau level $N\geq 2$ close to half filling, in the presence of weak Gaussian disorder. We use an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mei-Rong Li , H. A. Fertig , R. Cote , Hangmo Yi

For a two dimensional electron system in a strong perpendicular magnetic field B, there are extended states at each Landau level. We show that if the inverse compressibility is negative, then the extended states float downward in energy…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hans Nielsen

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