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

Deepak Dhar

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 2, 370-378

Abstract: 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|)|.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:2:p:370-378

DOI: 10.1016/0378-4371(80)90142-9

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