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Electronic correlations in quantum wires subjected to strong magnetic fields : dependence on the filling factor

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Electronic correlations in quantum wires subjected to strong magnetic fields : dependence on the filling factor

Zhang, Zhongxi (2002) Electronic correlations in quantum wires subjected to strong magnetic fields : dependence on the filling factor. PhD thesis, Concordia University.

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Abstract

Electron-electron interactions and their effects on Landau levels in quantum wires (QWs), subjected to strong perpendicular and parallel magnetic fields, are discussed. For QWs in strong perpendicular magnetic fields, with integral filling factor (p = 1, 2, and 3), the screened Coulomb interactions are assessed by solving the integral equations for the screened potential, both analytically and numerically. Correlation energy strongly smoothens the energy dispersion in the vicinity of the Fermi level. The exchange-correlation contribution [Special characters omitted.] to the Fermi-edge group velocity v g ( k F ) is proved to be nonsingular. The energy dispersion, obtained in the local density approximation (LDA), is in line with the observed strong suppression of the spin splitting (p = 1, 3) and helps in explaining the observed destruction or absence of some quantum Hall states. For QWs in strong parallel magnetic fields, with only the lowest LL occupied, the many-body corrections have a stronger effect on the spin-splitting than in the case of perpendicular magnetic fields.

Divisions:Concordia University > Faculty of Arts and Science > Physics
Item Type:Thesis (PhD)
Authors:Zhang, Zhongxi
Pagination:xiv, 157 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:Ph. D.
Program:Physics
Date:2002
Thesis Supervisor(s):Vasilopoulos, Panagiotis
Identification Number:QC 754.2 M3Z43 2002
ID Code:1772
Deposited By: Concordia University Library
Deposited On:27 Aug 2009 17:22
Last Modified:13 Jul 2020 19:50
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