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We report on numerical studies into the interplay of disorder and electron-electron interactions within the integer quantum Hall regime, where the presence of a strong magnetic field and two-dimensional confinement of the electronic system…

Mesoscale and Nanoscale Physics · Physics 2008-01-23 R. A. Römer , C. Sohrmann

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

It is shown that the homogeneous state of the spatially separated electrons and holes in the coupled quantum wells (CQW) is instable if the layer charge density is smaller than the critical value specified by the parameters of the CQW. The…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 V. S. Babichenko , I. Ya. Polishchuk , A. I. Pavlov , A. Guseynov , M. I. Gozman

We present a theory of negative Coulomb drag in capacitively coupled quantum wires based on the commensurability of the electron density and the long-range nature of the Coulomb interaction in the Tomonaga-Luttinger liquid. The…

Strongly Correlated Electrons · Physics 2015-03-10 Shunsuke C. Furuya , Hiroyasu Matsuura , Masao Ogata

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

In order to investigate whether space coordinates are intrinsically noncommutative, we make use of the Hall effect on the two-dimensional plane. We calculate the Hall conductivity in such a way that the noncommutative U(1) gauge invariance…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to the plane of the electron gas. At these magnetic fields…

Condensed Matter · Physics 2007-05-23 O. Heinonen , M. I. Lubin , M. D. Johnson

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

Enhancement of the electron spin polarization in a correlated two-layer two-dimensional electron system at a total Landau level filling factor of one is reported. Using resistively detected nuclear magnetic resonance, we demonstrate that…

Strongly Correlated Electrons · Physics 2015-04-30 L. Tiemann , W. Wegscheider , M. Hauser

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Struck , Bernhard Kramer

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the…

We have observed in a low density two-dimensional hole system (2DHS) of extremely high quality (with hole density p=1.6x10^{10} cm^{-2} and mobility \mu=0.8x10^6 cm^2/Vs) that, as the 2DHS is continuously tilted with respect to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. Pan , G. A. Csathy , D. C. Tsui , L. N. Pfeiffer , K. W. West

Two-dimensional interacting electron systems become strongly correlated if the electrons are subject to a perpendicular high magnetic field. After introducing the physics of the quantum Hall regime the incompressible many- particle ground…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Marcus Kasner

Spin-charge states of correlated electrons in a one-dimensional quantum dot attached to interacting leads are studied in the non-linear transport regime. With non-symmetric tunnel barriers, regions of negative differential conductance…

Strongly Correlated Electrons · Physics 2011-10-10 F. Cavaliere , A. Braggio , J. T. Stockburger , M. Sassetti , B. Kramer

We study theoretically the parallel quantum wires of the experiment by Auslaender et al. [Science 308, 88 (2005)] at low electron density. It is shown that a Hall effect as observed in two- or three-dimensional electron systems develops as…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Kindermann

The transresistance and the Hall transresistance of dirty two-dimensional bi-layer systems in the presence of tunneling bridges (pinholes) are studied theoretically. We find, at weak magnetic field, a non-zero Hall transresistance. In a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuval Oreg , Bertrand I. Halperin

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

Massless Dirac fermions in graphene at charge neutrality form a strongly interacting system in which both charged and neutral (energy) modes play an important role. These modes are essentially decoupled in the absence of a magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2013-09-20 Justin C. W. Song , Leonid S. Levitov

Tunneling of electrons into a two-dimensional electron system is known to exhibit an anomaly at low bias, in which the tunneling conductance vanishes due to a many-body interaction effect. Recent experiments have measured this anomaly…

Strongly Correlated Electrons · Physics 2018-07-02 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee
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