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We use dynamic scanning capacitance microscopy (DSCM) to image compressible and incompressible strips at the edge of a Hall bar in a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime. This method gives access to…

Mesoscale and Nanoscale Physics · Physics 2012-09-17 M. E. Suddards , A. Baumgartner , M. Henini , C. J. Mellor

We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. T. N. de Lang , L. A. Ponomarenko , A. de Visser , A. M. M. Pruisken

The recently discovered anisotropy of the longitudinal resistance of two-dimensional electrons near half filling of high Landau levels is found to persist to much higher temperatures T when a large in-plane magnetic field B|| is applied.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. B. Cooper , M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

A piezoelectric mechanism of orientation of stripes in two-dimensional quantum Hall systems in GaAs heterostructures is considered. The anisotropy of the elastic moduli and the boundary of the sample are taken into account. It is found that…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Fil

We study the phase diagram of $\nu_e=7/3$ state in the $N=1$ Landau level in the presence of band mass anisotropy. Using density matrix renormalization group on an infinite cylinder geometry, we find a continuous transition from the…

Strongly Correlated Electrons · Physics 2022-09-07 Prashant Kumar , R. N. Bhatt

Interacting two-dimensional electrons confined in a GaAs quantum well exhibit isotropic transport when the Fermi level resides in the first excited ($N=1$) Landau level. Adding an in-plane magnetic field ($B_{||}$) typically leads to an…

Mesoscale and Nanoscale Physics · Physics 2016-08-15 M. A. Mueed , Md. Shafayat Hossain , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The two dimensional electron gas (2DEG) in moderate magnetic fields in ultra-clean AlAs-GaAs heterojunctions exhibits transport anomalies suggestive of a compressible, anisotropic metallic state. Using scaling arguments and Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson , Efstratios Manousakis , Kwangsik Nho

High-frequency (HF) conductivity ($\sigma_{hf}$) measured by an acoustical method has been studied in GaAs/AlGaAs heterostructures in a linear and nonlinear regime on acoustic power. It has been shown that in the quantum Hall regime at…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , A. V. Suslov

We measure the Hall conductivity of a two-dimensional electron gas formed at a GaAs/AlGaAs heterojunction in the terahertz regime close to the cyclotron resonance frequency by employing a highly sensitive Faraday rotation method coupled…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 A. V. Stier , C. T. Ellis , H. Zhang , D. Eason , G. Strasser , B. D. McCombe T. Morimoto , H. Aoki , J. Cerne

We predict by first-principles calculations that thin films of Cr-doped (Bi,Sb)$_2$Te$_3$ magnetic topological insulator have gapless non-chiral edge states coexisting with the chiral edge state. Such gapless non-chiral states are not…

Mesoscale and Nanoscale Physics · Physics 2013-08-22 Jing Wang , Biao Lian , Haijun Zhang , Shou-Cheng Zhang

In a two-dimensional electron gas as realized by a semiconductor quantum well, the presence of spin-orbit coupling of both the Rashba and Dresselhaus type leads to anisotropic dispersion relations and Fermi contours. We study the effect of…

Condensed Matter · Physics 2009-11-10 John Schliemann , Daniel Loss

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

The quantum Hall effect, observed in a two-dimensional electron gas subjected to a perpendicular magnetic field, imposes a 1D-like chiral, downstream, transport of charge carriers along the sample edges. Although this picture remains valid…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fabien Lafont , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky

Based on a thermodynamic approach, we have calculated the resistivity of a 2D electron gas, assumed $dissipationless$ in a strong quantum limit. Standard measurements, with extra current leads, define the resistivity caused by a combination…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Cheremisin

A modest in-plane magnetic field \Bpar\ is sufficient to destroy the fractional quantized Hall states at $\nu = 5/2$ and 7/2 and replace them with anisotropic compressible phases. Remarkably, we find that at larger \Bpar\ these anisotropic…

Strongly Correlated Electrons · Physics 2010-10-26 Jing Xia , Vaclav Cvicek , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We report the observation of an acute sensitivity of the anisotropic longitudinal resistivity of two-dimensional electron systems in half-filled high Landau levels to the magnitude and orientation of an in-plane magnetic field. In the third…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Lilly , K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 N. Kainaris , I. V. Gornyi , S. T. Carr , A. D. Mirlin

We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant Umklapp scattering, the system is gapped in the bulk and supports chiral edge states in…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Jelena Klinovaja , Daniel Loss

We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Blagoje Oblak , Bastien Lapierre , Per Moosavi , Jean-Marie Stéphan , Benoit Estienne

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
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