Landolt-Börnstein - Group III Condensed Matter

Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires · 7.6 Interactions

Abstract

This chapter provides literature on interactions including electron-electron interaction, electron-phonon interaction, and spin-orbit interaction. When electron-electron interactions are taken into account, corrections to the conductivity occur. Interaction effects are effectively one-dimensional when the sample width is smaller than the thermal diffusion length. Another phenomenon due to electron-electron interactions is the Coulomb blockade (CB), i. e. the conductance of a small island inside a wire, separated from the rest of the wire by tunnel barriers, oscillates as a function of electron density. Finally, a 1D system of interacting electrons may be described by the Luttinger model. The eigenvalue problem is exactly solvable based upon a few approximations. Quasi-periodic plateaux in the current vs. source-drain voltage at room temperature are illustrated. The temperature dependence of the current was thermally activated. Electron-phonon scattering is the main mechanism for energy relaxation of carriers, but becomes less important at low temperatures where thermal excitations are frozen out. Intrinsic linewidth of the resonance peak for two different RT peaks is illustrated. According to the theory of weak localization, the presence of spin-orbit (SO) scattering changes the sign of the correction to conductivity at zero magnetic field. It thus transforms weak localization into weak anti-localization.

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Title
Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires · 7.6 Interactions
Book Title
Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires
In
7 Single wires
Book DOI
10.1007/b55682
Chapter DOI
10.1007/10479560_43
Part of
Landolt-Börnstein - Group III Condensed Matter
Volume
34B1
Editors
  • B. Kramer
  • Authors
  • A. Fechner
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