Quantum electron transport in disordered wires with symplectic symmetry

The conductance of disordered wires with symplectic symmetry is studied by the supersymmetric field theory. Special attention is focused on the case where the number of conducting channels is odd. Such a situation can be realized in metallic carbon nanotubes. The average dimensionless conductance {g...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2004-06, Vol.73 (6), p.1430-1433
Main Author: TAKANE, Yositake
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic transport in multilayers, nanoscale materials and structures
Exact sciences and technology
Nanotubes
Physics
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Summary:The conductance of disordered wires with symplectic symmetry is studied by the supersymmetric field theory. Special attention is focused on the case where the number of conducting channels is odd. Such a situation can be realized in metallic carbon nanotubes. The average dimensionless conductance {g} is obtained using Zirnbauer's super-Fourier analysis. It is shown that with increasing wire length, {g}->1 in the odd-channel case, while {g}->0 in the ordinary even-channel case. It should be emphasized that the so-called Zirnbauer's zero mode, which has been believed to be unphysical, is essential for describing the anomalous behavior in the odd-channel case.
ISSN:0031-9015
1347-4073
DOI:10.1143/jpsj.73.1430