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 , , and , while the state remains liquidlike at and . The temperature-density phase diagrams are obtained at low filling factors. At and a fixed electron density, the calculated melting temperature is , in good agreement with some experimental results. The nature of the phase transition is suggested to be continuous.
- Received 27 April 2005
DOI:https://doi.org/10.1103/PhysRevB.72.195306
©2005 American Physical Society