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Magnetic Field Effect for Two Electrons in a Two Dimensional Random Potential

Giuliano Benenti·Dima L. Shepelyansky
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Abstract

We study the problem of two particles with Coulomb repulsion in a two-dimensional disordered potential in the presence of a magnetic field. For the regime, when without interaction all states are well localized, it is shown that above a critical excitation energy electron pairs become delocalized by interaction. The transition between the localized and delocalized regimes goes in the same way as the metal-insulator transition at the mobility edge in the three dimensional Anderson model with broken time reversal symmetry.

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Giuliano Benenti, Dima L. Shepelyansky. 2000-11-28. Magnetic Field Effect for Two Electrons in a Two Dimensional Random Potential. https://doi.org/10.1103/physrevb.63.235103

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