# Anisotropic magnetoresistance and piezoelectric effect in GaAs Hall samples

## TL;DR

This paper proposes that anisotropic interactions can stabilize liquid crystalline electron phases in the lowest Landau level, supported by quantum Monte Carlo simulations indicating stability near the liquid-solid transition at filling factor 1/6.

## Contribution

It introduces a theoretical framework and simulation evidence for anisotropic liquid crystalline states of electrons in quantum Hall systems, a novel concept in the field.

## Key findings

- Anisotropic interactions can stabilize liquid crystalline phases.
- Quantum Monte Carlo simulations support the stability of anisotropic liquid states.
- Anisotropic liquid states may exist near the liquid-solid transition at ν=1/6.

## 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.