Self-doping instability of the Wigner-Mott insulator

Details Self-doping instability of the Wigner-Mott insulator Self-doping instability of the Wigner-Mott insulator

2007-05-23

arxiv.org/abs/0705.3428v2

Phys. Rev. B 77, 085104 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.77.085104

We present a theory describing the mechanism for the two-dimensional (2D) metal-insulator transition (MIT) in absence of disorder. A two-band Hubbard model is introduced, describing vacancy-interstitial pair excitations within the Wigner crystal. Kinetic energy gained by delocalizing such excitations is found to lead to an instability of the insulator to self-doping above a critical carrier concentration $n=n_c$, mapping the problem to a density-driven Mott MIT. This mechanism provides a natural microscopic picture of several puzzling experimental features, including the large effective mass enhancement, the large resistivity drop, and the large positive magneto-resistance on the metallic side of the transition. We also present a global phase diagram for the clean 2D electron gas as a function of $n$ and parallel magnetic field $B_{\shortparallel}$, which agrees well with experimental findings in ultra clean samples.

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