Low energy transition in spectral statistics of 2D interactingfermions

Details Low energy transition in spectral statistics of 2D interactingfermions Low energy transition in spectral statistics of 2D interactingfermions

1999-04-16

arxiv.org/abs/cond-mat/9904229v2

Physics

Condensed Matter

revtex, 5 pages, 4 figures; new data for eigenfunctions are added

Scientific paper

10.1103/PhysRevB.61.15546

We study the level spacing statistics $P(s)$ and eigenstate properties of spinless fermions with Coulomb interaction on a two dimensional lattice at constant filling factor and various disorder strength. In the limit of large lattice size, $P(s)$ undergoes a transition from the Poisson to the Wigner-Dyson distribution at a critical total energy independent of the number of fermions. This implies the emergence of quantum ergodicity induced by interaction and delocalization in the Hilbert space at zero temperature.

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