Hypernetted-chain study of broken rotational symmetry states for the $\bmν$ = 1/3 fractional quantum Hall effect and other fractionally filled Landau levels

Details Hypernetted-chain study of broken rotational symmetry states for the $\bmν$ = 1/3 fractional quantum Hall effect and other fractionally filled Landau levels Hypernetted-chain study of broken rotational symmetry states for the $\bmν$ = 1/3 fractional quantum Hall effect and other fractionally filled Landau levels

2001-08-07

arxiv.org/abs/cond-mat/0108119v2

Phys. Rev. B 65, 045306 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages including 3 eps figures

Scientific paper

10.1103/PhysRevB.65.045306

We investigate broken rotational symmetry (BRS) states for the fractional quantum Hall effect (FQHE) at 1/3-filling of the valence Landau level (LL). Recent Monte Carlo calculations by Musaelian and Joynt [J. Phys.: Condens.\ Matter {\bf 8}, L105 (1996)] suggest that Laughlin's state becomes unstable to a BRS state for some critical finite thickness value. We study in detail the properties of such state by performing a hypernetted-chain calculation that gives results in the thermodynamic limit, complementing other methods which are limited to a finite number of particles. Our results indicate that while Laughlin's state is stable in the lowest LL, in higher LLs a BRS instability occurs, perhaps indicating the absence of FQHE at partial fillings of higher LLs. Possible connections to the newly discovered liquid crystalline phases in higher LLs are also discussed.

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