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We calculate the ground-state of a two-dimensional electron gas in a short-period lateral potential in magnetic field, with the Coulomb electron-electron interaction included in the Hartree-Fock approximation. For a sufficiently short…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

We calculate the magnetoconductivity tensor of a 2D electron gas in a 1D periodic potential and quantising magnetic fields. We study the internal structure of the Shubnikov-de Haas peaks and analyse recent experimental results. The…

Condensed Matter · Physics 2007-05-23 Andrei Manolescu , Rolf R. Gerhardts

The equilibrium properties and interminiband transitions for Hartree-interacting two-dimensional electron gas in a one-dimensional chain of planar quantum rings subjected to a transverse homogeneous magnetic field are examined theoretically…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Armen Harutyunyan , Vram Mughnetsyan , Albert Kirakosyan , Vidar Gudmundsson

We calculate the orbital magnetization of a confined 2DEG as a function of the number of electrons in the system. Size effects are investigated by systematically increasing the area of the confining region. The results for the finite system…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigurdur I. Erlingsson , Andrei Manolescu , Vidar Gudmundsson

On the basis of Boltzmann's equation, and including anisotropic scattering in the collision operator, we investigate the effect of one-dimensional superlattices on two-dimensional electron systems. In addition to superlattices defined by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Rolf Menne , Rolf R. Gerhardts

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…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andrei Manolescu , Rolf R. Gerhardts

The linear response theory is used to describe magnetoresistance oscillations of short-period unilateral superlattices with strong modulation (or alternatively arrays of coupled quantum wires). The semiclassical description of this system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Karel Vyborny , Ludvik Smrcka , Rainer A. Deutschmann

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…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

We consider the contribution of electron-electron interactions to the orbital magnetization of a two-dimensional electron gas, focusing on the ballistic limit in the regime of negligible Landau-level spacing. This regime can be described by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. von Oppen , D. Ullmo , H. U. Baranger

We consider a mesoscopic mechanism of the exchange interaction in a system of alternating ferromagnetic/nonmagnetic metallic layers. In the case of small mesoscopic samples the sign and the amplitude of the exchange energy turn out to be…

Condensed Matter · Physics 2007-05-23 B. Spivak , A. Zyuzin

We report the magneto-transport properties of a two-dimensional electron gas in a modulation-doped AlGaAs/GaAs heterostructure subjected to a lateral potential with honeycomb geometry. Periodic oscillations of the magneto-resistance and a…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 G. De Simoni , A. Singha , M. Gibertini , B. Karmakar , M. Polini , V. Piazza , L. N. Pfeiffer , K. W. West , F. Beltram , V. Pellegrini

The persistent current in three-dimensional mesoscopic rings is investigated numerically. The model is tight-binding one with random site-energies and interaction between electrons. The self-consistent Hartree-Fock approximation is adopted…

Condensed Matter · Physics 2016-08-31 D. Yoshioka , H. Kato

We present calculations on the magnetocapacitance of the two-dimensional electron gas in a lateral semiconductor superlattice under two-dimensional weak periodic potential modulation in the presence of a perpendicular magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. S. Kliros , P. C. Divari

We derive an exact expression for the orbital magnetization of electrons with short-range interactions (such as density-density interactions) in terms of exact zero-frequency response functions of the zero-field system. The result applies…

Strongly Correlated Electrons · Physics 2026-02-03 Xi Chen , Zhi-Da Song

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…

Strongly Correlated Electrons · Physics 2009-11-10 M. Nita , V. Dinu , A. Aldea , B. Tanatar

We study, within the Hartree approximation, the effects of the electron-electron interaction on the energy spectrum of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a lateral superlattice potential with…

Condensed Matter · Physics 2007-05-23 Vidar Gudmundsson , Rolf R. Gerhardts

We calculate the single-particle states of a two-dimensional electron gas (2DEG) in a perpendicular quantizing magnetic field, which is periodic in one direction of the electron layer. We discuss the modulation of the electron density in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ulrich J. Gossmann , Andrei Manolescu , Rolf R. Gerhardts

It is shown that the classical commensurability phenomena in weakly modulated two-dimensional electron systems is a manifestation of the intrinsic properties of the correlation functions describing a homogeneous electron gas in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

We develop a theory of magneto-oscillations in photoconductivity of multisubband two-dimensional electron systems which takes into account strong Coulomb interaction between electrons. In the presence of a magnetic field oriented…

Mesoscale and Nanoscale Physics · Physics 2012-07-25 Yuriy P. Monarkha

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
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