Distribution of Transmission Eigenvalues in Disordered Wires with Symplectic Symmetry

  • Sakai Hiroshi
    Department of Quantum Matter, Graduate School of Advanced Sciences of Matter, Hiroshima University
  • Wakabayashi Katsunori
    Department of Quantum Matter, Graduate School of Advanced Sciences of Matter, Hiroshima University
  • Takane Yositake
    Department of Quantum Matter, Graduate School of Advanced Sciences of Matter, Hiroshima University

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We have numerically studied the electronic transport properties of quantum wires with symplectic symmetry based on the tight-binding model. The asymptotic behavior of the conductance crucially depends on the even–odd effect of the conducting channel, since one perfectly conducting channel exists only in the odd-channel system. The decay length of the conductance and the distribution of the largest transmission eigenvalues clearly show the even–odd difference. Our results are in excellent agreement with the random-matrix theory.

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