Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels

作者: Yositake Takane , Katsunori Wakabayashi

DOI: 10.1143/JPSJ.77.054702

关键词:

摘要: We study conductance fluctuations in disordered quantum wires with unitary symmetry focusing on the case which number of conducting channels one propagating direction is not equal to that opposite direction. consider $N+m$ left-moving and $N$ right-moving channels. In this case, $m$ become perfectly conducting, dimensionless $g$ for behaves as $g \to m$ long-wire limit. obtain variance diffusive regime by using Dorokhov-Mello-Pereyra-Kumar equation transmission eigenvalues. It shown universality breaks down $m \neq 0$ unless very large.

参考文章(22)
K. Hirose, T. Ohtsuki, K. Slevin, Quantum transport in novel Chalker–Coddington model Physica E: Low-dimensional Systems and Nanostructures. ,vol. 40, pp. 1677- 1680 ,(2008) , 10.1016/J.PHYSE.2007.10.055
Hiroshi Sakai, Katsunori Wakabayashi, Yositake Takane, Distribution of Transmission Eigenvalues in Disordered Wires with Symplectic Symmetry Journal of the Physical Society of Japan. ,vol. 76, pp. 034717- ,(2007) , 10.1143/JPSJ.76.034717
Hiroshi Sakai, Yositake Takane, Conductance and Its Variance of Disordered Wires with Symplectic Symmetry in the Metallic Regime Journal of the Physical Society of Japan. ,vol. 74, pp. 1521- 1524 ,(2005) , 10.1143/JPSJ.74.1521
LS Froufe-Pérez, P García-Mochales, PA Serena, PA Mello, JJ Sáenz, None, Conductance distributions in quasi-one-dimensional disordered wires. Physical Review Letters. ,vol. 89, pp. 246403- ,(2002) , 10.1103/PHYSREVLETT.89.246403
Pier A. Mello, A. Douglas Stone, Maximum-entropy model for quantum-mechanical interference effects in metallic conductors Physical Review B. ,vol. 44, pp. 3559- 3576 ,(1991) , 10.1103/PHYSREVB.44.3559
Yositake Takane, Hiroshi Sakai, Random-Matrix Theory of Electron Transport in Disordered Wires with Symplectic Symmetry Journal of the Physical Society of Japan. ,vol. 75, pp. 054711- ,(2006) , 10.1143/JPSJ.75.054711
Tsuneya Ando, Hidekatsu Suzuura, Presence of Perfectly Conducting Channel in Metallic Carbon Nanotubes Journal of the Physical Society of Japan. ,vol. 71, pp. 2753- 2760 ,(2002) , 10.1143/JPSJ.71.2753
Yositake Takane, Katsunori Wakabayashi, Conductance of Disordered Wires with Unitary Symmetry: Role of Perfectly Conducting Channels Journal of the Physical Society of Japan. ,vol. 76, pp. 053701- ,(2007) , 10.1143/JPSJ.76.053701
Yositake Takane, Quantum electron transport in disordered wires with symplectic symmetry Journal of the Physical Society of Japan. ,vol. 73, pp. 1430- 1433 ,(2004) , 10.1143/JPSJ.73.1430