Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System

Details Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System

2002-03-25

arxiv.org/abs/cond-mat/0203498v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 2 figures

Scientific paper

10.1103/PhysRevB.66.153318

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.

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