Phase Separation in the Putative Fractional Quantum Hall A phases

TL;DR

This paper investigates the wave functions of the ${ m A}$ phases in fractional quantum Hall systems, revealing they exhibit strong phase separation rather than liquid behavior, and introduces new diagnostic methods and entanglement spectrum properties.

Contribution

It demonstrates that the proposed ${ m A}$ phase wave functions actually show phase separation and develops new techniques for diagnosing and constructing such states.

Findings

Wave functions display strong phase separation.

New methods for diagnosing phase separation.

Entanglement spectra reveal a new property for numerical accuracy.

Abstract

We use several techniques to probe the wave functions proposed to describe the ${\cal A}$ phases by Das, Das, and Mandal [Phys. Rev. Lett. 131, 056202 (2023); Phys. Rev. Lett. 132, 106501 (2024); Phys. Rev. B 110, L121303 (2024).]. As opposed to representing fractional quantum Hall liquids, we find these wave functions to describe states that clearly display strong phase separation. In the process of exploring these wave functions, we have also constructed several new methods for diagnosing phase separation and generating such wave functions numerically. Finally, we uncover a new property of entanglement spectra that can be used as a check for the accuracy of numerics.