The delocalization problem of two interacting electrons in a two-dimensional random potential

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 2 figures. To be published in phys. stat. sol. (Proceedings of Hopping and Related Phenomena 8, Murcia 1999.)

Scientific paper

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, and the expectation value of the electron-electron separation.

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