Two electrons in a two dimensional random potential: exchange, interaction and localization

Details Two electrons in a two dimensional random potential: exchange, interaction and localization Two electrons in a two dimensional random potential: exchange, interaction and localization

2000-09-03

arxiv.org/abs/cond-mat/0009033v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

To appear in Physical Review B

Scientific paper

10.1103/PhysRevB.62.12785

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis and diagonalizing it exactly. The result of that procedure is discussed in terms of level statistics, the expectation value of the electron-electron separation, and a configuration-space inverse participation number. We argue that, in the interacting problem, a localization-delocalization crossover in real space does not correspond exactly to a Poisson-Wigner crossover in level statistics.

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