Asymptotic Behavior of the Conductance in Disordered Wires with Perfectly Conducting Channels(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
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We study the conductance of disordered wires with unitary symmetry focusing on the case in which m perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation for transmission eigenvalues, we obtain the average and second moment of the conductance in the long-wire regime. For comparison, we employ the three-edge Chalker-Coddington model as the simplest example of channel-number-imbalanced systems with m=1, and obtain the average and second moment of the conductance by using a supersymmetry approach. We show that the result for the Chalker-Coddington model is identical to that obtained from the DMPK equation.
- 社団法人日本物理学会の論文
- 2008-01-15
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