Zero modes in the random hopping model

被引：36

作者：

Brouwer, PW ^{[1
]}

Racine, E

Furusaki, A

Hatsugai, Y

Morita, Y

Mudry, C

机构：

[1] Cornell Univ, Atom & Solid State Phys Lab, Ithaca, NY 14853 USA

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[3] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan

[4] Japan Sci & Technol Corp, PRESTO, Kawaguchi, Saitama 3320012, Japan

[5] Paul Scherrer Inst, CH-5232 Villigen, Switzerland

来源：

PHYSICAL REVIEW B | 2002年 / 66卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevB.66.014204

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

If the number of lattice sites is odd, a quantum particle hopping on a bipartite lattice with random hopping between the two sublattices only is guaranteed to have an eigenstate at zero energy. We show that the localization length of this eigenstate depends strongly on the boundaries of the lattice, and can take values anywhere between the mean free path and infinity. The same dependence on boundary conditions is seen in the conductance of such a lattice if it is connected to electron reservoirs via narrow leads. For any nonzero energy, the dependence on boundary conditions is removed for sufficiently large system sizes.

引用

页码：142041 / 1420411

页数：11

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