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We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 G. Dolcetto , S. Barbarino , D. Ferraro , N. Magnoli , M. Sassetti

We study the phase structure and Hall conductance quantization in weakly coupled multi-layer electron systems in the integer quantum Hall regime. We derive an effective field theory and perform a two-loop renormalization group calculation.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ziqiang Wang

Using the Chalker-Coddington network model as a drastically simplified, but universal model of integer quantum Hall physics, we investigate the plateau-to-insulator transition at strong magnetic field by means of a real-space…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Philipp Cain , Rudolf A. Roemer

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

The fate of the current carrying states of a quantum Hall system is considered in the situation when the disorder strength is increased and the transition from the quantum Hall liquid to the Hall insulator takes place. We investigate a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Th. Koschny , L. Schweitzer

Graphene enables precise carrier-density control via gating, making it an ideal platform for studying electronic interactions. However, sample inhomogeneities often limit access to the low-density regimes where these interactions dominate.…

We study an unconventional quantum Hall effect for the surface states of ultrathin Floquet topological insulators in a perpendicular magnetic field. The resulting band structure is modified by photon dressing and the topological property is…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 M. Tahir , P. Vasilopoulos , U. Schwingenschlog

Unconventional magneto-transport fingerprints in the quantum Hall regime (with applied magnetic field from one to several tens of Tesla) in chemically functionalized graphene are reported. Upon chemical adsorption of monoatomic oxygen (from…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Jean-Christophe Charlier , Stephan Roche

The scaling theory of the transitions between plateaus of the Hall conductivity in the integer Quantum Hall effect is reviewed. In the model of two-dimensional noninteracting electrons in strong magnetic fields the transitions are…

Condensed Matter · Physics 2016-08-31 Bodo Huckestein

We present in this Letter the results from two high quality, low density GaAs quantum wells. In sample A of electron density n=5.0x10^10 cm^-2, anisotropic electronic transport behavior was observed at \nu=7/2 in the second Landau level. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 W. Pan , A. Serafin , J. S. Xia , L. Yin , N. S. Sullivan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We investigate the possibility of a strongly correlated Fractional Quantum Hall (FQH) state in bulk three dimensional isotropic (not layered) materials. We find that a FQH state can exist at low densities only if it is accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2011-07-13 F. J. Burnell , B. Andrei Bernevig , D. P. Arovas

We analyze the conductance fluctuations observed in the quantum Hall regime for a bulk two-dimensional electron system in a Corbino geometry. We find that characteristics like the power spectral density and the temperature dependence agree…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Hohls , U. Zeitler , R. J. Haug

We report on the transition from magnetic edge to electric edge transport in a split magnetic gate device which applies a notch magnetic field to a two-dimensional electron gas. The gate bias allows tuning the overlap of magnetic and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Alain Nogaret , Puja Mondal , Ankip Kumar , Sankalpa Ghosh , Harvey Beere , David Ritchi

Quantum Hall states at filling fraction $\nu$=5/2 are examined by numerical diagonalization. Spin-polarized and -unpolarized states of systems with $N\le 18$ electrons are studied, neglecting effects of Landau level mixing. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rudolf H. Morf

The linear response of two-dimensional electron gas in a perpendicular magnetic field in the presence of a spatially dependent classically smooth electrostatic potential is studied theoretically, by application of the Kubo formula for…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher

We study quantum interference effects on the transition strength for strongly localized electrons hopping on 2D square and 3D cubic lattices in the presence of a magnetic field B. These effects arise from the interference between phase…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Yeong-Lieh Lin , Franco Nori

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

Transport in a two-dimensional electron gas subject to an external magnetic field is analyzed in the presence of a \textit{longitudinal barrier.} We show that \textit{quantum interference of the edge states} bound by the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. M. Kadigrobov , M. V. Fistul , K. B. Efetov

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding…

Strongly Correlated Electrons · Physics 2024-01-31 Giacomo Morpurgo , Louk Rademaker , Christophe Berthod , Thierry Giamarchi