Structure of the superconducting state in a fully frustrated wire network with dice lattice geometry

Abstract

The superconducting state in a fully frustrated wire network with the dice lattice geometry is investigated in the vicinity of the transition temperature. Using Abrikosov's variational procedure, we write the Ginzburg-Landau free energy functional projected on its unstable supspace as an effective model on the triangular lattice of sixfold coordinated sites. For this latter model, we obtain a large class of degenerate equilibrium configurations in one to one correspondence with those previously constructed for the pure XY model on the maximally frustrated dice lattice. The entropy of these states is proportional to the linear size of the system. Finally we show that magnetic interactions between currents provide a degeneracy lifting mechanism.

arXiv commentThe final version (as published in Phys. Rev. B). Substantial corrections have been made to Sec. V

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Cited by in corpus (7)

• Correlated phases of bosons in the flat lowest band of the dice lattice
• Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
• Fluctuation induced vortex pattern and its disordering in the fully frustrated XY model on a dice lattice
• Uniformly frustrated XY model without vortex-pattern ordering
• Frustration phenomena in Josephson junction arrays on a dice lattice
• Order-by-Disorder Degeneracy Lifting of Interacting Bosons on the Dice Lattice
• Signatures of many-body localization of quasiparticles in a flat band superconductor