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Two Interacting Particles in a Random Potential: Numerical Calculations of the Interaction Matrix Elements
Author(s) -
Römer R. A.,
Schreiber M.,
Vojta T.
Publication year - 1999
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(199902)211:2<681::aid-pssb681>3.0.co;2-i
Subject(s) - scaling , matrix (chemical analysis) , random matrix , statistical physics , coupling (piping) , basis (linear algebra) , particle (ecology) , block (permutation group theory) , physics , mathematics , materials science , quantum mechanics , combinatorics , geometry , geology , eigenvalues and eigenvectors , oceanography , metallurgy , composite material
We reinvestigate the validity of mapping the problem of two onsite interacting particles in a random potential onto an effective random matrix model. To this end we study numerically how the non‐interacting basis is coupled by the interaction. Our results indicate that the typical coupling matrix element decreases significantly faster with increasing single‐particle localization length than is assumed in the random matrix model. This leads to a much weaker enhancement than proposed earlier. We also discuss how Imry's block‐scaling picture for two interacting particles is influenced by these data.