Phase boundary between the fractional quantum Hall liquid and the Wigner crystal at low filling factors and low temperatures: A path integral Monte Carlo study

W. J. He, T. Cui, Y. M. Ma, C. B. Chen, Z. M. Liu, and G. T. Zou
Phys. Rev. B 72, 195306 – Published 4 November 2005

Abstract

We generalize a path integral Monte Carlo formula to investigate the phase boundary between the fractional quantum Hall liquid and the Wigner crystal for a two-dimensional electron (fermion) system in the presence of strong magnetic fields and at low temperatures. At very low temperature, the state of the system is found to be a solid at filling factors ν=17, 19, and 111, while the state remains liquidlike at ν=13 and 15. The temperature-density phase diagrams are obtained at low filling factors. At ν=17 and a fixed electron density, the calculated melting temperature is 220mK, in good agreement with some experimental results. The nature of the phase transition is suggested to be continuous.

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  • Received 27 April 2005

DOI:https://doi.org/10.1103/PhysRevB.72.195306

©2005 American Physical Society

Authors & Affiliations

W. J. He, T. Cui*, Y. M. Ma, C. B. Chen, Z. M. Liu, and G. T. Zou

  • National Laboratory of Superhard Materials, Jilin University, Changchun 130022, People’s Republic of China

  • *Author to whom correspondence should be addressed. Electronic address: cuitian@jlu.edu.cn

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Vol. 72, Iss. 19 — 15 November 2005

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