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

Rodney Price·Xuejun Zhu·P. M. Platzman
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Abstract

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 $ν= 1/7$ 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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Rodney Price, Xuejun Zhu, P. M. Platzman. 1993-06-11. Freezing of the quantum Hall liquid at $ν= $ 1/7 and 1/9. https://doi.org/10.1103/physrevb.48.11473

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