Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System

TL;DR

This paper investigates the melting behavior of the soliton lattice phase in bilayer quantum Hall systems under parallel magnetic fields, revealing reentrant melting phenomena driven by thermal fluctuations and dislocation proliferation.

Contribution

It introduces a numerical solution of Bethe ansatz equations to accurately determine the Kosterlitz-Thouless phase boundary considering thermal fluctuations.

Findings

Soliton lattice melts at specific temperatures within certain magnetic field ranges.

Reentrant melting behavior observed as temperature decreases below the KT transition.

Thermal fluctuations significantly influence the stability of the soliton lattice phase.

Abstract

At large parallel magnetic field $B_\parallel$, the ground state of bilayer quantum Hall system forms uniform soliton lattice phase. The soliton lattice will melt due to the proliferation of unbound dislocations at certain finite temperature leading to the Kosterlitz-Thouless (KT) melting. We calculate the KT phase boundary by numerically solving the newly developed set of Bethe ansatz equations, which fully take into account the thermal fluctuations of soliton walls. We predict that within certain ranges of $B_\parallel$, the soliton lattice will melt at $T_{\rm KT}$. Interestingly enough, as temperature decreases, it melts at certain temperature lower than $T_{\rm KT}$ exhibiting the reentrant behaviour of the soliton liquid phase.