Premium
Weak Delocalization Due to Long‐Range Interaction for Two Electrons in a Random Potential Chain
Author(s) -
Römer R. A.,
Schreiber M.
Publication year - 1998
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/(sici)1521-3951(199801)205:1<275::aid-pssb275>3.0.co;2-o
Subject(s) - range (aeronautics) , physics , delocalized electron , statistical physics , chain (unit) , particle (ecology) , symmetry (geometry) , wave function , function (biology) , condensed matter physics , electron , quantum mechanics , materials science , mathematics , composite material , oceanography , geometry , evolutionary biology , biology , geology
We study two interacting particles in a random potential chain by a transfer matrix method which allows a correct handling of the symmetry of the two‐particle wave function, but introduces an artificial “bag” interaction. The dependence of the two‐particle localization length λ 2 on disorder, interaction strength and range is investigated. Our results demonstrate that the recently proposed enhancement of λ 2 as compared to the results for single particles is vanishingly small for a Hubbard interaction. For longer‐range interactions, we observe a small enhancement but with a different disorder dependence than proposed previously.