Landolt-Börnstein - Group III Condensed Matter

Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires · 7 Single wires

Abstract

This chapter discusses transport properties of single wires. The transport properties of small samples can be classified by using a number of length scales. First, in the presence of disorder, electron states may be localized in space. Second, in a metallic sample, the carriers can travel freely for some distance before they collide with an impurity. Third, the average distance an electron can travel before losing phase memory due to inelastic scattering is the temperature-dependent phase coherence length. Fourth, the thermal diffusion length denotes the distance two initially phase-coherent electrons. The effective dimensionality of the sample depends on the relevant length scale of the physical quantity under investigation. It can be concluded that in order to properly describe transport in small devices it must be known that whether it is an insulator or a metal and in the latter case, if it is in the diffusive, the quasi-ballistic or the ballistic regime. The effective dimensionality of the sample has to be inferred from the comparison of thickness, width and length with the relevant length scale of the effect to be studied. But, even further, details of the measurement procedure have to be taken into account in order to choose an appropriate theoretical model. On the one hand, a measurement may be performed using two probes, i. e. the voltage is measured across the same probes the current is flowing through.

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Title
Electronic Transport. Part 1: Quantum Point Contacts and Quantum Wires · 7 Single wires
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_37
Part of
Landolt-Börnstein - Group III Condensed Matter
Volume
34B1
Editors
  • B. Kramer
  • Authors
  • A. Fechner
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