Wigner Crystallization of Rotating Dipolar Fermions in the Fractional Quantum Hall Regime

TL;DR

This paper investigates the potential formation of a Wigner crystal in rotating dipolar fermions within the fractional quantum Hall regime, highlighting the significant impact of Landau-level mixing at high densities.

Contribution

It demonstrates that Landau-level mixing lowers the energy of the Wigner crystal, making it favorable over the FQH liquid at high densities, contrasting previous low-density conclusions.

Findings

Wigner crystal is energetically favorable at high densities.

Landau-level mixing significantly lowers WC energy.

Results are consistent with non-rotating dipolar gases.

Abstract

We show the possible existence of the Wigner crystal (WC) in the Fractional Quantum Hall (FQH) regime. We find that the Landau-level mixing (LLM) will lower the energy of the WC significantly in the high-density regime. The WC is lower in energy than the FQH liquid in the high-density regime. We conclude that the crystal phase is expected at high density for rotating dipolar gases, which is consistent with non-rotating dipolar gases, but is inconsistent with the low-density conclusion from Baranov et al. [Phys. Rev. Lett. 100, 200402 (2008)], where the effect of LLM is ignored.