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On the calculation of the surface density of states in the tight‐binding formalism
Author(s) -
Kolář M.
Publication year - 1977
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.2220830231
Subject(s) - formalism (music) , tight binding , crystal (programming language) , surface (topology) , surface states , density of states , local density of states , physics , quantum mechanics , mathematics , condensed matter physics , classical mechanics , geometry , electronic structure , computer science , art , musical , visual arts , programming language
Abstract The derivation is presented for a closed formula which gives the surface density of states of an arbitrary semi‐infinite tight‐binding crystal in terms of the Green function of the corresponding perfect (infinite) crystal and the change of the electron potential at the crystal surface. Using this formula, some general contributions to the surface density of states are found. A simple example is presented.