Vortex ordering in fully-frustrated superconducting systems with dice lattice

Abstract

The structure and the degenracy of the ground state of a fully-frustrated XY-model are investigated for the case of a dice lattice geometry. The results are applicable for the description of Josephson junction arrays and thin superconducting wire networks in the external magnetic field providing half-integer number of flux quanta per plaquette. The mechanisms of disordering of vortex pattern in such systems are briefly discussed.

10 pages, 3 figures

References in corpus (3)

• Aharonov-Bohm cages in two-dimensional structures
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Positional Disorder (Random Gaussian Phase Shifts) in the Fully Frustrated Josephson Junction Array (2D XY Model)

Cited by in corpus (30)

• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
• Correlated phases of bosons in the flat lowest band of the dice lattice
• Photoinduced valley and electron-hole symmetry breaking in $\alpha$-$T_3$ lattice: The role of a variable Berry phase
• Magnetotransport properties of the $\alpha$-T${}_3$ model
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models
• Unconventional phases in a Haldane model of dice lattice
• Topology-induced phase transitions in quantum spin Hall lattices
• Rashba effect in quantum networks
• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• Vortex correlations in a fully frustrated two-dimensional superconducting network
• 4e-condensation in a fully frustrated Josephson junction diamond chain
• Topological features of Haldane model on a dice lattice: role of flat band on transport properties
• Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice
• Fluctuation induced vortex pattern and its disordering in the fully frustrated XY model on a dice lattice
• Coherent transport in Josephson-Junction rhombi chain with quenched disorder
• Frustration phenomena in Josephson junction arrays on a dice lattice
• Structure of the superconducting state in a fully frustrated wire network with dice lattice geometry
• Signatures of many-body localization of quasiparticles in a flat band superconductor
• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• Order-by-Disorder Degeneracy Lifting of Interacting Bosons on the Dice Lattice
• Correlated electron states and transport in triangular arrays
• Superconducting proximity effect in flat band systems
• Electrical and thermal transport through $\alpha -T_3$ NIS junction
• 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
• Magnetic screening in proximity effect Josephson-junction arrays
• Physical realization of the generalized fully frustrated XY model in an array of SFS junctions