Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 73, Issue 6, Pages 1430-1433Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.73.1430
Keywords
supersymmetric field theory; nonlinear sigma model; DMPK equation; carbon nanotube
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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.
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