Reentrant Melting of Soliton Lattice Phase in Bilayer Quantum Hall System

At large parallel magnetic field B‖, 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‖, the soliton lattice will melt at TKT. Interestingly enough, as temperature decreases, it melts at certain temperature lower than TKT exhibiting the reentrant behaviour of the soliton liquid phase. 75.10.-b, 73.43.-f, 64.60.-i Typeset using REVTEX 1 When the interlayer spacing d is comparable to the mean particle distance, the bilayer quantum Hall system at total filling factor νtot = 1 can exhibit the quantum Hall effect due to the strong interlayer correlations [1–3]. In the presence of large parallel magnetic field B‖, the ground state of the system is known to form a uniform soliton lattice (SL) phase made of the periodic array of the phase solitons of the field variable θ(r), which represents the relative phase difference between electrons in two layers [3]. Using the isospin language [3], the effective energy functional for the bilayer system can be written by