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Spectral properties and localization of few interacting electrons in a one dimensional random potential
Author(s) -
Halfgap O.,
Zharekeshev I.Kh.,
MacKin A.,
Kramer B.
Publication year - 1998
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(199811)7:5/6<503::aid-andp503>3.0.co;2-l
Subject(s) - hamiltonian (control theory) , physics , delocalized electron , scaling , electron , statistical physics , center of mass (relativistic) , quantum mechanics , mathematics , mathematical optimization , geometry , energy–momentum relation
We calculate the density of states and the level‐number variance of two and three interacting electrons in a one dimensional disordered system by diagonalization the many particle Hamiltonian. The localization length, and its scaling properties, are investigated with different methods and compared for particle and center‐of‐mass coordinates. The results are consistent with interaction induced delocalization.