Finitesize studies of the FQHEelectron solid phase transition using a nonorthogonal localised basis set
Abstract
Finitesize calculations are used to study the variation of the ground state of the interacting twodimensional electron system with varying magnetic field. Of specific interest is the phase transition from the fractional quantum Hall liquid state to the crystalline solid ground state. A novel localised basis set is used for the calculations, which is expected to generate a better approximation to the crystalline state than previous bases. Hexagonal symmetry into the paircorrelation function, together with an increased peak to valley ratio showing an enhanced level of localisation of the electrons, is taken as an indication of the presence of the crystalline state. First indications of hexagonal symmetry are at filling factors just greater than {1}/{5}, which is in good agreement with experiment. The hexagonal symmetry becomes distinct for filling factors between {1}/{5} and {1}/{7}, but is absent at exactly {1}/{5} filling. This is taken to indicate a reentrant liquid phase at {1}/{5} filling as observed experimentally. There is no evidence of a reentrant liquid phase at {1}/{7} filling.
 Publication:

Solid State Communications
 Pub Date:
 February 1996
 DOI:
 10.1016/00381098(95)006060
 Bibcode:
 1996SSCom..97..515H