Random Matrix Approach to a Special Kind of Quantum Random Hopping
YANG Sen, ZHAI Hui
Center for Advanced Study and Department of Physics, Tsinghua University, Beijing 100084
Random Matrix Approach to a Special Kind of Quantum Random Hopping
YANG Sen;ZHAI Hui
Center for Advanced Study and Department of Physics, Tsinghua University, Beijing 100084
关键词 ：
05.30.Ch ,
02.10.Yn ,
74.20.Mn
Abstract ： We use the random matrix method to study one kind of quantum random hopping. The Hamiltonian is a non-Hermitian matrix with some negative subdiagonal elements. Using potential theory, we calculate the eigenvalue density of an N x N matrix when N goes to infinity. We also obtain a least upper bound of the module of eigenvalues. In view of phase string theory in high temperautre superconductor, this model connects with localization-delocalization transition.
Key words ：
05.30.Ch
02.10.Yn
74.20.Mn
出版日期: 2002-05-01
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2002, Vol. 19 
