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Anderson's Hamiltonian for an Electron in a Distorted Crystal Lattice
Author(s) -
Mezincescu G. A.
Publication year - 1975
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.2220710238
Subject(s) - wannier function , hamiltonian (control theory) , orthonormal basis , electron , lattice (music) , diagonal , physics , condensed matter physics , conduction band , crystal structure , hamiltonian matrix , thermal conduction , quantum mechanics , mathematical physics , mathematics , symmetric matrix , eigenvalues and eigenvectors , chemistry , geometry , crystallography , mathematical optimization , acoustics
The matrix elements of the Hamiltonian of an electron in a randomly distorted crystal lattice are estimated for a complete and orthonormal system of localized functions, related to the Wannier functions. The estimates agree with the usual neglection of the stochastic behaviour of the off‐diagonal matrix elements. A numerical calculation for the conduction band of Na is in good agreement with the estimated values of the matrix elements.