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Numerical results for two interacting particles in a random environment
Author(s) -
Römer R.A.,
Leadbeater M.,
Schreiber M.
Publication year - 1999
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199911)8:7/9<675::aid-andp675>3.0.co;2-b
Subject(s) - decimation , lambda , physics , delocalized electron , statistical physics , particle (ecology) , matrix (chemical analysis) , work (physics) , electron , quantum mechanics , materials science , computer science , oceanography , filter (signal processing) , composite material , computer vision , geology
Much evidence has been collected to date which shows that repulsive electron‐electron interaction can lead to the formation of particle pairs in a one‐dimensional random m energy landscape. The localization length λ 2 of these pair states is finite, but larger than the localization length λ 1 of the individual particles. After a short review of previous work, we present numerical evidence for this effect based on an analysis of the interaction matrix elements and an application of the decimation method. The results based on the decimation method for a two‐dimensional disordered medium support the localization‐delocalization transition of pair states predicted recently.