An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength

TL;DR

This paper reports the discovery of a novel reentrant quantum Hall phase at moderate Landau-level-mixing, characterized by a unique topological order distinct from known Pfaffian phases, supported by wave function analysis and entanglement spectra.

Contribution

It introduces a new gapped quantum Hall phase with a distinct topological order, supported by a proposed wave function matching experimental and numerical data.

Findings

Identifies a reentrant anomalous quantum Hall phase at intermediate Landau level mixing.

Proposes a wave function that accurately captures the phase's topological order.

Demonstrates high overlap with the exact ground state and reproduces entanglement spectra.

Abstract

A successful probing of neutral Majorana mode in recent thermal Hall conductivity measurements opines in favor of the particle-hole symmetric Pfaffian (PH-Pf) topological order, contrasting the theoretical predictions of Pfaffian or anti-Pfaffian phases. Here we report a reentrant anomalous quantized phase which is found to be gapped in the thermodynamic limit, distinct from the conventional Pfaffian, anti-Pfaffian, or PH-Pf phases, at an intermediate strength of Landau level mixing. Our proposed wave function consistent with the PH-Pf shift in spherical geometry rightly captures the topological order of this phase, as its overlap with the exact ground state is very high and it reproduces low-lying entanglement spectra. A unique topological order, irrespective of the flux shifts, found for this phase possibly corroborates the experimentally found topological order.