Freezing of the quantum Hall liquid at $ν= $ 1/7 and 1/9

Details Freezing of the quantum Hall liquid at $ν= $ 1/7 and 1/9 Freezing of the quantum Hall liquid at $ν= $ 1/7 and 1/9

1993-06-09

arxiv.org/abs/cond-mat/9306026v2

Physics

Condensed Matter

uses RevTeX 2.0 or 3.0

Scientific paper

10.1103/PhysRevB.48.11473

We compare the free energy computed from the ground state energy and low-lying excitations of the 2-D Wigner solid and the fractional quantum Hall liquid, at magnetic filling factors $\nu = 1/7$ and 1/9. We find that the Wigner solid melts into the fractional quantum Hall liquid at roughly the same temperature as that of some recent luminescence experiments, while it remains a solid at the lower temperatures characteristic of the transport experiments. We propose this melting as a consistent interpretation of both sets of experiments.

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