Random Matrix Approach to a Special Kind of Quantum Random Hopping

Chin. Phys. Lett.

2002, Vol. 19

Issue (5): 628-631 DOI:

Original Articles

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

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YANG Sen, ZHAI Hui 2002 Chin. Phys. Lett. 19 628-631

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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.

Keywords: 05.30.Ch 02.10.Yn 74.20.Mn

Published: 01 May 2002

PACS:	05.30.Ch	(Quantum ensemble theory)
	02.10.Yn	(Matrix theory)
	74.20.Mn	(Nonconventional mechanisms)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I5/0628

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