Quantum Correlated Interstitials and the Hall Resistivity of the Magnetically Induced Wigner Crystal

Details Quantum Correlated Interstitials and the Hall Resistivity of the Magnetically Induced Wigner Crystal Quantum Correlated Interstitials and the Hall Resistivity of the Magnetically Induced Wigner Crystal

1994-01-11

arxiv.org/abs/cond-mat/9401021v1

Physics

Condensed Matter

10 pages, RevTeX

Scientific paper

10.1103/PhysRevLett.73.878

We study a trial wavefunction for an interstitial in a Wigner crystal. We find that the electron correlations, ignored in a conventional Hartree-Fock treatment, dramatically lower the interstitial energy, especially at fillings close to an incompressible liquid state. The correlation between the interstitial electron and the lattice electrons at $\nu <1/m$ is introduced by constructing a trial wave- function which bears a Jastrow factor of a Laughlin state at $\nu=1/m$. For fillings close to but just below $\nu=1/m$, we find that a perfect Wigner crystal becomes unstable against formation of such interstitials. It is argued that conduction due to correlated interstitials in the presence of weak disorder leads to the {\it classical} Hall resistivity, as seen experimentally.

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