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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 report real-time detection of longitudinal and transverse transport responses across distinct frequency bands in a ferromagnetic filling factor $\nu$ = 1 integer quantum Hall state. By tuning $\nu$, we simultaneously access the evolution…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Hoai Anh Ho , Jian Huang , L. N. Pfeiffer , K. W. West

A self-consistent treatment of exchange and correlation interactions in a quantum wire (QW) subject to a strong perpendicular magnetic field is presented using a modified local-density approximation (MLDA). The influence of many-body…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 O. G. Balev , P. Vasilopoulos

We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 J. Rech , C. Wahl , T. Jonckheere , T. Martin

We study many-body interaction effects in the spatially-resolved filling factor ($\nu$) distribution for higher Landau levels (LLs) via self-consistent Hartree-Fock simulations in the integer quantum Hall (IQH) regime. Our results indicate…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Josef Oswald , Rudolf A. Römer

We demonstrate that a split-gate quantum wire in the integer quantum Hall regime can exhibit electronic transport hysteresis for up- and down-sweeps of a magnetic field. This behavior is shown to be due to phase spin transitions between two…

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

We investigate several spin-related phenomena in a confined two-dimensional electron gas (2DEG) using the Hartree-Fock approximation for the mutual Coulomb interaction of the electrons. The exchange term of the interaction causes a large…

Condensed Matter · Physics 2007-05-23 Vidar Gudmundsson , Juan Jose Palacios

We report on numerical studies of the energy spectrum and the localization properties in the double-layer quantum Hall system at $\nu = 1$. The Coulomb interaction is treated by the Hartree-Fock approximation, and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jun-ichiro Watanabe , Tatsuya Nakajima

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Rudolf A. Römer , Josef Oswald

We study the quantum Hall effect (QHE) in the three-dimensional topological insulator HgTe, which features topological Dirac-type surface states in a bulk gap opened by strain. Despite the co-existence of multiple carrier subsystems, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-25 S. Hartl , L. Freund , M. Kühn , J. Ziegler , E. Richter , W. Himmler , J. Bärenfänger , D. A. Kozlov , N. N. Mikhailov , J. Weis , D. Weiss

We investigate the integer quantum Hall effect in Cd3As2 thin films under conditions of strong to moderate quantum confinement (thicknesses of 10 nm, 12 nm, 15 nm). In all the films, we observe the integer quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Run Xiao , Junyi Zhang , Juan Chamorro , Jinwoong Kim , Tyrel M. McQueen , David Vanderbilt , Morteza Kayyalha , Yi Li , Nitin Samarth

By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state bands due to a Hall electric field occurs and causes the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenzo Ishikawa , Nobuki Maeda , Tetsuyuki Ochiai , Hisao Suzuki

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

It is known experimentally that at not very large filling factors $\nu$ the quantum Hall conductivity peaks corresponding to the same Landau level number $N$ and two different spin orientations are well separated. These peaks occur at…

Condensed Matter · Physics 2009-10-28 M. M. Fogler , B. I. Shklovskii

We investigate non-linear magneto-transport in a Hall bar device made from a strained InGaAs/InP quantum well: a material system with attractive spintronic properties. From extensive maps of the longitudinal differential resistance (r_xx)…

Disordered Systems and Neural Networks · Physics 2018-10-31 V. Yu , M. Hilke , P. J. Poole , S. Studenikin , D. G. Austing

Integer and fractional quantum Hall effects were studied with different physics models and explained by different physical mechanisms. In this paper, the common physical mechanism for integer and fractional quantum Hall effects is studied,…

General Physics · Physics 2012-01-25 Jianhua wang , Kang Li , Shuming Long , Yi Yuan

Coulomb exchange interactions of electrons in the nu=3 quantum Hall state are determined from two inter-Landau level spin-flip excitations measured by resonant inelastic light scattering. The two coupled collective excitations are linked to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 A. B. Van'kov , T. D. Rhone , A. Pinczuk , I. V. Kukushkin , L. N. Pfeiffer , K. W. West

The integer quantum Hall states at fillings $\nu = 0$ and $|\nu| = 1$ in monolayer graphene have drawn much attention as they are generated by electron-electron interactions. Here we explore aspects of the $\nu = 0$ and $|\nu| = 1$ quantum…

Strongly Correlated Electrons · Physics 2020-11-09 Hank Chen , Matthew R. C. Fitzpatrick , Sujit Narayanan , Bitan Roy , Malcolm P. Kennett

We report a magnetotransport study of the termination of the spin-resolved integer quantum Hall effect by controlled disorder in a gated GaAs/AlGaAs heterostructure. We have found that, for a given N^{th} Landau level, the difference in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. W. Wong , H. W. Jiang , E. Palm , W. J. Schaff
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