Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice

Abstract

The accidental degeneracy of various ground states in a fully frustrated XY model with a honeycomb lattice is shown to survive even when the free energy of the harmonic fluctuations is taken into account. The reason for that consists in the existence of a hidden gauge symmetry between the Hamiltonians describing the harmonic fluctuations in all these ground states. A particular vortex pattern is selected only when anharmonic fluctuations are taken into account. However, the observation of vortex ordering requires relatively large system size L>>100000.

4 pages, 2 figures, RevTeX4, a different method is used to find which state is selected by anharmonic fluctuations, the last third of the text is completly rewritten

References in corpus (9)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Possible realization of an ideal quantum computer in Josephson junction array
• Topological order in the insulating Josephson junction array
• Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models
• Vortex ordering in fully-frustrated superconducting systems with dice lattice
• Phase transitions in the antiferromagnetic XY model with a kagome lattice
• Vortex correlations in a fully frustrated two-dimensional superconducting network
• Comparison of Phase Boundaries between Kagome and Honeycomb Superconducting Wire Networks
• The fully frustrated XY model with next nearest neighbor interaction

Cited by in corpus (15)

• Generalized Elitzur's Theorem and Dimensional Reduction
• Nature of phase transition(s) in striped phase of triangular-lattice Ising antiferromagnet
• 4e-condensation in a fully frustrated Josephson junction diamond chain
• 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
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice
• Uniformly frustrated XY model without vortex-pattern ordering
• Coherent transport in Josephson-Junction rhombi chain with quenched disorder
• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Ordered phases and phase transitions in the fully frustrated XY model on a honeycomb lattice
• Superconducting phase transitions in frustrated Josephson-junction arrays on a dice lattice