It is shown numerically that the distribution of squared components of eigenvectors of the Anderson 1D tight binding equation on lattices of finite lengths, is parametrized by the single scaling parameter x= zeta infinity /N, where zeta infinity is the localization length for the infinite lattice and N is the number of sites of the finite lattice.
Scaling of distribution eigenvectors in a 1D Anderson model / L.G. Molinari. - In: JOURNAL OF PHYSICS. CONDENSED MATTER. - ISSN 0953-8984. - 5:23(1993), pp. 002.L319-002.L322. [10.1088/0953-8984/5/23/002]
Scaling of distribution eigenvectors in a 1D Anderson model
L.G. Molinari
1993
Abstract
It is shown numerically that the distribution of squared components of eigenvectors of the Anderson 1D tight binding equation on lattices of finite lengths, is parametrized by the single scaling parameter x= zeta infinity /N, where zeta infinity is the localization length for the infinite lattice and N is the number of sites of the finite lattice.
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