2004/06/15 by Yositake Takane · 40 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Conductance #Dimensionless quantity #Field (mathematics) #Quantum #Quantum and electron transport phenomena #Symmetry (geometry) #Symplectic geometry #Topological Materials and Phenomena #Zero (linguistics) #cond-mat.mes-hall
paper · pdf · doi:10.1143/jpsj.73.1430
published in Journal of the Physical Society of Japan 73(6), 1430-1433 (Physical Society of Japan) · 5 pages
openalex publication_date 2004/06/15 · arxiv created 2004/11/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 approaches to 1 in the odd-channel case, while g vanishes 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.