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Solvable Model for Random Systems Including Off‐Diagonal Disorder
Author(s) -
John W.,
Schreiber J.
Publication year - 1974
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220660121
Subject(s) - diagonal , anderson impurity model , density of states , amorphous solid , statistical physics , stability (learning theory) , condensed matter physics , matrix (chemical analysis) , amorphous semiconductors , transfer matrix , physics , random matrix , ferromagnetism , diagonal matrix , mathematics , mathematical physics , quantum mechanics , materials science , chemistry , geometry , thin film , organic chemistry , eigenvalues and eigenvectors , machine learning , computer science , composite material , computer vision , electron
Anderson's model for disordered systems is considered in the case where the transfer matrix elements fluctuate according to a Lorentzian distribution. It is shown that the exact ensemble averaged Green's function may be obtained if the energy level on each site depends linearly on the overlap integrals. Using this result the stability of amorphous Heisenberg ferromagnets is studied. The Weaire model of an amorphous covalent semiconductor with fluctuating matrix elements is considered. Numerical results for the density of states are given.