Central peak in the density of states of a disordered linear chain

We study the density of states of a one-dimensional tightbinding electron model with random hopping elements. The Hamiltonian is H = -∑iJi+12(a+iai+1+a+i+1ai), where the Ji+12's are independent identically distributed random variables. It is proved that the single particle density of states D(E) diverges near E = 0 as 1|(E log3|E|)|.

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Year of publication:	1980
Authors:	Dhar, Deepak
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 102.1980, 2, p. 370-378
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011057475