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Local Density of States for Solids in an Electric Field
Author(s) -
Losev A.,
Vlaev S.J.,
Mishonov T.
Publication year - 2000
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 - 10.1002/1521-3951(200007)220:1<747::aid-pssb747>3.0.co;2-5
Subject(s) - electric field , crystal (programming language) , condensed matter physics , field (mathematics) , materials science , physics , mathematics , quantum mechanics , pure mathematics , computer science , programming language
The local densities of states (LDOSs) in electrified simple cubic crystals have been studied within the semi‐empirical tight‐binding (TB) model. One‐dimensional (1D), two‐dimensional (2D) and three‐dimensional (3D) cases are investigated, taking into account first neighbours and one band, when an external constant electric field with arbitrary direction is applied. The increasing strength of the field in a given direction turns smoothly the LDOSs of an n ‐dimensional crystal ( n = 1, 2, 3) into the LDOSs of an ( n — 1)‐dimensional crystal. The Wannier‐Stark ladder phenomenon for crystals of different dimensionalities is discussed and the role of the electric field strength for the effective crystal dimension is assessed. The LDOSs are calculated by means of a new convolution technique which allows to compute the results faster than any conventional method.