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Electron energy spectrum of a finite crystals in a uniform electric field
Author(s) -
Berezhkovskii A. M.,
Ovchinnikov A. A.
Publication year - 1978
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.2220850112
Subject(s) - crystal (programming language) , electric field , electron , wannier function , energy spectrum , spectrum (functional analysis) , condensed matter physics , physics , field (mathematics) , stark effect , quantum mechanics , quantum electrodynamics , mathematics , pure mathematics , computer science , programming language
An explicit expression for the shift of levels of Wannier‐Stark ladders, which appears due to finite crystal dimensions, is derived. The surface states are analyzed. It is concluded that Wannier‐Stark ladders do exist if crystal dimensions are sufficiently large.