Quantum percolation in power-law diluted chains

R.P.A. Lima and M.L. Lyra

Physica A: Statistical Mechanics and its Applications, 2001, vol. 297, issue 1, 157-163

Abstract: We investigate the quantum percolation problem in a diluted chain with long-range hopping amplitudes. Each bond is activated with probability p(r)=p1/rα, where r is the distance between two sites and α characterizes the range of the interactions. The average participation ratio of all eigenstates is used as a measure of the wave-functions localization length. We found that, above a quantum percolation threshold p1(q), true extended states appear for α<1.5. In the regime of 1.5<α<2.0 there is no truly extended states even in the presence of a spanning cluster. Instead, a phase of critical wave-functions sets up.

Keywords: Quantum percolation; Long-range interactions; Tight-binding Hamiltonian (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:297:y:2001:i:1:p:157-163

DOI: 10.1016/S0378-4371(01)00196-0

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