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Localization in a one‐dimensional random potential with spatial correlation
Author(s) -
Kasner M.,
Weller W.
Publication year - 1986
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.2221340232
Subject(s) - uncorrelated , spatial correlation , markov chain , correlation , diagram , connection (principal bundle) , statistical physics , mathematics , physics , geometry , statistics
The role of oscillating vertices usually neglected in the Berezinskii diagram technique is analyzed in connection with a random potential, whose spatial correlation is generated by a Markov chain. It appears that the consideration of some of the oscillating vertices is necessary so that the theory can remark the spatial correlation. Correlation mainly leads to an increase of the localization length in comparison with an uncorrelated potential. However, there is a region of the parameter, where the localization length decreases. The Berezinskii diagram technique is used in a modified form.