Laughlin liquid - Wigner solid transition at high density in wide quantum wells

Details Laughlin liquid - Wigner solid transition at high density in wide quantum wells Laughlin liquid - Wigner solid transition at high density in wide quantum wells

1994-10-04

arxiv.org/abs/cond-mat/9410008v1

Physics

Condensed Matter

RevTeX 3.0, 3 Postscript figures appended in uuencoded format

Scientific paper

10.1103/PhysRevB.51.2017

Assuming that the phase transition between the Wigner solid and the Laughlin liquid is first-order, we compare ground-state energies to find features of the phase diagram at fixed $\nu$. Rather than use the Coulomb interaction, we calculate the effective interaction in a square quantum well, and fit the results to a model interaction with length parameter $\lambda$ roughly proportional to the width of the well. We find a transition to the Wigner solid phase at high density in very wide wells, driven by the softening of the interaction at short distances, as well as the more well-known transition to the Wigner solid at low density, driven by Landau-level mixing.

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