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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…

介观与纳米尺度物理 · 物理学 2008-01-23 R. A. Römer , C. Sohrmann

Electron-electron interactions seem to play a surprisingly small role in the description of the integer quantum Hall effect, considering that for just slightly different filling factors the interactions are of utmost importance causing the…

介观与纳米尺度物理 · 物理学 2007-05-23 Christoph Sohrmann , Rudolf A. Roemer

We numerically investigate the interplay of disorder and electron-electron interactions in the integer quantum Hall effect. In particular, we focus on the behaviour of the electronic compressibility as a function of magnetic field and…

介观与纳米尺度物理 · 物理学 2007-05-23 Christoph Sohrmann , Rudolf A. Roemer

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…

介观与纳米尺度物理 · 物理学 2009-10-31 Bodo Huckestein , Michael Backhaus

A quantum antidot, a submicron depletion region in a two-dimensional electron system, has been actively studied in the past two decades, providing a powerful tool for understanding quantum Hall systems. In a perpendicular magnetic field,…

介观与纳米尺度物理 · 物理学 2009-11-13 H. -S. Sim , M. Kataoka , C. J. B. Ford

The magnetoresistivity tensor of an interacting two-dimensional electron system with a lateral and unidirectional electric or magnetic modulation, in a perpendicular quantizing magnetic field, is calculated within the Kubo formalism. The…

介观与纳米尺度物理 · 物理学 2009-10-30 Andrei Manolescu , Rolf R. Gerhardts

We report on numerical studies of the influence of Coulomb interactions on localization of electronic wavefunctions in a strong magnetic field. Interactions are treated in the Hartree-Fock approximation. Localization properties are studied…

凝聚态物理 · 物理学 2009-10-28 S. -R. Eric Yang , A. H. MacDonald

We consider interacting electrons in a two-dimensional quantum Coulomb glass and investigate by means of the Hartree-Fock approximation the combined effects of the electron-electron interaction and the transverse magnetic field on…

介观与纳米尺度物理 · 物理学 2009-11-07 Minchul Lee , Gun Sang Jeon , M. Y. Choi

We study the influence of electron-electron interactions on the electronic properties of disordered materials. In particular, we consider the insulating side of a metal-insulator transition where screening breaks down and the…

无序系统与神经网络 · 物理学 2009-10-30 Frank Epperlein , Michael Schreiber , Thomas Vojta

We study the effects of electron-electron interaction on the critical properties of the plateau transitions in the {\it integer} quantum Hall effect. We find the renormalization group dimension associated with short-range interactions to be…

凝聚态物理 · 物理学 2009-10-28 Dung-Hai Lee , Ziqiang Wang

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…

介观与纳米尺度物理 · 物理学 2021-08-03 Rudolf A. Römer , Josef Oswald

The influence of disorder and interaction on the ground state polarization of the two-dimensional (2D) correlated electron gas is studied by numerical investigations of unrestricted Hartree-Fock equations. The ferromagnetic ground state is…

强关联电子 · 物理学 2009-11-10 M. Nita , V. Dinu , A. Aldea , B. Tanatar

We consider circular and elliptic quantum dots with parabolic external confinement, containing 0 - 22 electrons and with values of r_s in the range 0 < r_s < 3. We perform restricted and unrestricted Hartree-Fock calculations, and further…

介观与纳米尺度物理 · 物理学 2009-11-10 Clare Sloggett , Oleg Sushkov

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…

介观与纳米尺度物理 · 物理学 2016-07-27 Marcus Kasner

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

量子气体 · 物理学 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

We introduce a generic approach to study interaction effects in diffusive or chaotic quantum dots in the Coulomb blockade regime. The randomness of the single-particle wave functions induces randomness in the two-body interaction matrix…

介观与纳米尺度物理 · 物理学 2009-11-10 Y. Alhassid , H. A. Weidenmueller , A. Wobst

We numerically investigate how electron-electron interactions influence the transport properties of disordered electrons in two dimensions. Our study is based on the quantum Coulomb glass model appropriately generalized to include the spin…

强关联电子 · 物理学 2015-06-24 Thomas Vojta , Frank Epperlein , Svetlana Kilina , Michael Schreiber

We calculate energy spectra of a two-dimensional electron system in a perpendicular magnetic field and periodic potentials of short periods. The Coulomb interaction is included within a screened Hartree-Fock approximation. The electrostatic…

介观与纳米尺度物理 · 物理学 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

In the quantum Hall regime, electronic correlations in double-layer two-dimensional electron systems are strong because the kinetic energy is quenched by Landau quantization. In this article we point out that these correlations are…

凝聚态物理 · 物理学 2009-10-28 T. Jungwirth , A. H. MacDonald

We consider the combined influence of disorder, electron-electron interactions and quantum hopping on the properties of electronic systems in a localized phase, approaching an insulator-metal transition. The generic models in this regime…

无序系统与神经网络 · 物理学 2018-07-11 Thomas Vojta , Michael Schreiber
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