Two electrons in a two dimensional random potential: exchange, interaction and localization
无序系统与神经网络
2009-10-31 v1
摘要
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.
引用
@article{arxiv.cond-mat/0009033,
title = {Two electrons in a two dimensional random potential: exchange, interaction and localization},
author = {Jorge Talamantes and Michael Pollak},
journal= {arXiv preprint arXiv:cond-mat/0009033},
year = {2009}
}
备注
To appear in Physical Review B