Two-electron state in a disordered 2D island: pairing caused by the Coulomb repulsion
M. E. Raikh (1), L. I. Glazman (2), and L. E. Zhukov (1) ((1) Physics, Department, University of Utah, (2) Theoretical Physics Institute and, Department of Physics, University of Minnesota)

TL;DR
This paper demonstrates the existence of bound two-electron states in a disordered 2D island, formed by Coulomb repulsion and disorder effects, without phonon mediation, and explores their properties and magnetic field dependence.
Contribution
It reveals a novel mechanism for two-electron pairing driven solely by Coulomb repulsion and disorder, without phonon involvement.
Findings
Bound two-electron states exist in disordered 2D islands.
These states are formed by specific configurations of four single-electron levels.
The density and magnetic field dependence of these states are characterized.
Abstract
We show the existence of bound two-electron states in an almost depleted two-dimensional island. These two-electron states are carried by special compact configurations of four single-electron levels. The existence of these states does not require phonon mediation, and is facilitated by the disorder-induced potential relief and by the electron-electron repulsion only. The density of two-electron states is estimated and their evolution with the magnetic field is discussed.
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