Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System

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 $T_{\mathrm{KT}}$. Interestingly enough, as temperature decreases, it melts at certain temperature lower than $T_{\mathrm{KT}}$ exhibiting the reentrant behaviour of the soliton liquid phase.

arXiv comment11 pages, 2 figures

References in corpus (5)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Incommensurate ground state of double-layer quantum Hall systems
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Cited by in corpus (1)

• Pseudospin Soliton in the $\nu =1$ Bilayer Quantum Hall State