Uniformly frustrated XY model without vortex-pattern ordering

Abstract

The uniformly frustrated XY model with f=1/3 on a dice lattice is shown to possess a so well developed accidental degeneracy of its ground states that the difference between the free energies of fluctuations does not lead to the stabilization of a particular vortex pattern down to zero temperature. Nonetheless, at low temperatures the system is characterized by a finite helicity modulus whose vanishing (at a finite temperature) is related with the dissociation of half-vortex pairs.

4 pages, 3 figures

References in corpus (3)

• Topological order in the insulating Josephson junction array
• Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice
• Structure of the superconducting state in a fully frustrated wire network with dice lattice geometry

Cited by in corpus (12)

• Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
• Vortex-Peierls States in Optical Lattices
• Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets
• Nature of phase transition(s) in striped phase of triangular-lattice Ising antiferromagnet
• Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice
• Fluctuation induced vortex pattern and its disordering in the fully frustrated XY model on a dice lattice
• Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice
• Frustration phenomena in Josephson junction arrays on a dice lattice
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• Sequence of phase transitions induced in an array of Josephson junctions by their crossover to pi-state
• Superconducting phase transitions in frustrated Josephson-junction arrays on a dice lattice
• Magnetic screening in proximity effect Josephson-junction arrays