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We study the quantum Hall effect of 2D electron gas in black phosphorus in the presence of perpendicular electric and magnetic fields. In the absence of a bias voltage, the external magnetic field leads to a quantization of the energy…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Shengjun Yuan , Edo van Veen , Mikhail I. Katsnelson , Rafael Roldán

In wide GaAs quantum wells where two electric subbands are occupied we apply a parallel magnetic field or increase the electron density to cause a crossing of the two $N=0$ Landau levels of these subbands and with opposite spins. Near the…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Yang Liu , S. Hasdemir , J. Shabani , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We report on Landauer-B\"uttiker studies of anomalous Hall transport in a two-dimensional electron gas with Rashba spin-orbit coupling and a magnetization provided by localized magnetic moments. Our system is described by a discretized…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Maria Silvia Garelli , John Schliemann

Exotic quantum Hall systems hosting counter-propagating edge states can show seemingly non-universal transport regimes, usually depending on the size of the sample. We experimentally probe transport in a quantum Hall sample engineered to…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Aifei Zhang , Kenji Watanabe , Takashi Taniguchi , Patrice Roche , Carles Altimiras , François D. Parmentier , Olivier Maillet

Tunable exciton condensates in two dimensional electron gas systems under strong magnetic field exhibits anomalous Hall transport owing to mutual Coulomb coupling, and have attracted a lot of research activity. Here, we explore another…

Strongly Correlated Electrons · Physics 2020-05-28 Tian-Sheng Zeng , D. N. Sheng , W. Zhu

We reduce the problem of integer quantum Hall transition to a random rotation of an N-dimensional vector by an su(N) algebra, where only N specially selected generators of the algebra are nonzero. The group-theoretical structure revealed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Boldyrev , V. Gurarie

Certain fractional quantum Hall edges have been predicted to undergo quantum phase transitions which reduce the number of edge channels and at the same time bind electrons together. However, detailed studies of experimental signatures of…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Christian Spånslätt , Ady Stern , Alexander D. Mirlin

The conductance of a weakly interacting electron gas in the presense of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the…

Condensed Matter · Physics 2009-10-22 K. A. Matveev , Dongxiao Yue , L. I. Glazman

The classical drift motion of electrons in crossed electric and magnetic fields provides an interesting example of a system with an on average constant velocity -- despite the presence of an electric field. This drift-velocity depends…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

We describe a new regime of magnetotransport in two dimensional electron systems in the presence of a narrow potential barrier imposed by external gates. In such systems, the Landau level states, confined to the barrier region in strong…

Mesoscale and Nanoscale Physics · Physics 2011-02-10 Nan Gu , Mark Rudner , Andrea Young , Philip Kim , Leonid Levitov

We have studied the quantum transport in a narrow constriction acted upon by a finite-range longitudinally polarized time-dependent electric field. The electric field induces coherent inelastic scatterings which involve both intra-subband…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , C. S. Chu

Magneto-transport measurements are performed on two-dimensional GaAs electron systems to probe the quantum Hall (QH) effect at low magnetic fields. Oscillations following the Shubnikov-de Haas (SdH) formula are observed in the transition…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Shun-Tsung Lo , Yi-Ting Wang , G Bohra , E Comfort , T-Y Lin , M-G Kang , G Strasser , J P Bird , C F Huang , Li-Hung Lin , J C Chen , C-T Liang

We investigate quantum dynamics and kinetics of a 2D conductor with closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the…

Strongly Correlated Electrons · Physics 2021-10-28 A. M. Kadigrobov , B. Keran , D. Radić

We prove quantization of the Hall conductance for continuous ergodic Landau Hamiltonians under a condition on the decay of the Fermi projections. This condition and continuity of the integrated density of states are shown to imply…

Mathematical Physics · Physics 2015-05-13 François Germinet , Abel Klein , Jeffrey H. Schenker

We report experimental studies of disorder-induced transitions between quantum-Hall, metallic, and insulating states in a very dilute two-dimensional electron system in silicon at a magnetic field corresponding to Landau level filling…

Condensed Matter · Physics 2009-10-28 J. E. Furneaux , S. V. Kravchenko , Whitney Mason , G. E. Bowker , V. M. Pudalov

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

The tunneling conductance between two parallel 2D electron systems has been measured in a regime of strong interlayer Coulomb correlations. At total Landau level filling $\nu_T=1$ the tunnel spectrum changes qualitatively when the boundary…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 I. B. Spielman , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We present magneto transport experiments of quasi 3D PbTe wide quantum wells. A plateau-like structure in the Hall resistance is observed, which corresponds to the Shubnikov de Haas oscillations in the same manner as known from the quantum…

Materials Science · Physics 2009-10-30 J. Oswald , G. Span , A. Homer , G. Heigl , P. Ganitzer , D. K. Maude , J. C. Portal

Using scanning tunneling spectroscopy in ultra-high vacuum at low temperature (T = 0.3 K) and high magnetic fields (B < 12 T), we directly probe electronic wave functions across an integer quantum Hall transition. In accordance with…

Mesoscale and Nanoscale Physics · Physics 2008-12-17 K. Hashimoto , C. Sohrmann , J. Wiebe , T. Inaoka , F. Meier , Y. Hirayama , R. A. Roemer , R. Wiesendanger , M. Morgenstern

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen