Phase of biparticle localized states for the Cooper problem in two-dimensional disordered systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 9, 2001, Pages

  Lages, J ^a   Shepelyansky, D L ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; MAGNETIC FIELD; MODEL;

EID: 0035449114     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.094502     Document Type: Article

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25. In the BLS phase at (Formula presented) the value of (Formula presented) obtained by exact diagonalization (full symbols) demonstrates some increase with the change of L from (Formula presented) to (Formula presented). We attribute this to the fact that at larger L the pair in the ground state can choose a more profound minimum appearing due to statistical fluctuations that gives some growth of (Formula presented).
26. The first step in direct numerical investigations of a few interacting spin fermions above the frozen Fermi sea was done in J. Lages, G. Benenti, and D.L. Shepelyansky, Phys. Rev. B 63, 214516 (2001). However in this approach it is difficult to reach large system sizes since the condition (Formula presented) leads to a strong growth of the matrix size with the number of particles.