Anisotropic magnetoresistance and piezoelectric effect in GaAs Hall samples

Abstract

In this work, we argue that an anisotropic interaction potential may stabilize anisotropic liquid phases of electrons even in a strong magnetic field regime where normally one expects to see only isotropic quantum Hall or isotropic Fermi liquid states. We use this approach to support a theoretical framework that envisions the possibility of an anisotropic liquid crystalline state of electrons in the lowest Landau level. In particular, we argue that an anisotropic liquid state of electrons may stabilize in the lowest Landau level close to the liquid-solid transition region at filling factor $\nu =1/6$ for a given anisotropic Coulomb interaction potential. Quantum Monte Carlo simulations for a liquid crystalline state with broken rotational symmetry indicate stability of liquid crystalline order consistent with the existence of an anisotropic liquid state of electrons stabilized by anisotropy at filling factor $\nu =1/6$ of the lowest Landau level.

10 pages, 7 figures

References in corpus (6)

• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Monte Carlo simulation method for Laughlin-like states in a disk geometry
• Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
• Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6
• Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect

Cited by in corpus (1)

• Charge density waves and their transitions in anisotropic quantum Hall systems