Landolt-Börnstein - Group III Condensed Matter

Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires · 9 Isolated rings

Abstract

This chapter discusses the isolated rings under three major sections headings, namely, (i) impurities, (ii) interactions and (iii) magnetic field. Random modifications of AB oscillations on a time scale of 10 to 40 h have been observed. These fluctuations have been associated with slow relaxation processes of the impurities in a semiconductor, inducing changes in the scattering potential or in the Fermi level. In the literature, mainly three different ways of including the Coulomb interaction exist. First, the combined effect of disorder and interaction is studied perturbatively by diagram techniques. Second, numerical studies on discrete (finite) 1D rings with flux-dependent hopping matrix elements and diagonal disorder are performed. Third, 1D continuum models with flux-dependent boundary conditions, a random impurity potential and a translationally invariant Coulomb interaction are studied by a combination of analytical and numerical techniques. Equilibrium current is a consequence of the sensitivity of the eigenstates to twists in the boundary conditions. It does not dissipate and is therefore referred to as persistent current. Square root of power spectrum of resistance fluctuations and magnetization of ring are plotted as a function of frequency. This chapter also contains references.

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Title
Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires · 9 Isolated rings
Book Title
Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires
In
III Quantum Wires
Book DOI
10.1007/b55682
Chapter DOI
10.1007/10479560_58
Part of
Landolt-Börnstein - Group III Condensed Matter
Volume
34B1
Editors
  • B. Kramer
  • Authors
  • A. Fechner
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