R Haydock et al 1972 J. Phys. C: Solid State Phys. 5 2845 doi:10.1088/0022-3719/5/20/004
R Haydock, V Heine and M J Kelly
Show affiliationsSome new methods are presented for calculating the density of states n(E) and other aspects of electronic structure in a tight-binding band, without use of Bloch's theorem or the band structure E(k). The methods are therefore applicable to calculating the local density of states at surfaces, impurities etc. and relate the electronic structure to the local atomic environment. They depend on developing the Green function as an infinite continued fraction. There is no difficulty in obtaining n(E) in a few minutes computing time correct to the first 50 moments for an s-band and 10 moments for d-bands. The present paper discusses the methods and ideas, with specific applications to follow.
73.20.At Surface states, band structure, electron density of states
71.20.-b Electron density of states and band structure of crystalline solids
Issue 20 (17 October 1972)
R Haydock et al 1972 J. Phys. C: Solid State Phys. 5 2845
R Haydock et al 1975 J. Phys. C: Solid State Phys. 8 2591
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