Nonequilibrium relaxation analysis of a quasi-one-dimensional frustrated XY model for charge-density waves in ring-shaped crystals

Abstract

We propose a model for charge density waves in ring shaped crystals, which depicts frustration between intra- and inter-chain couplings coming from cylindrical bending. It is then mapped to a three dimensional uniformly frustrated XY model with one dimensional anisotropy in connectivity. The nonequilibrium relaxation dynamics is investigated by Monte Carlo simulations to find a phase transition which is quite different from that of usual whisker crystal. We also find that the low temperature state is a three dimensional phase vortex lattice with a two dimensional phase coherence in a cylindrical shell and the system shows power law relaxation in the ordered phase.

arXiv comment6 pages, 6 epsfiles, revised version

References in corpus (8)

• Meissner effect in a bosonic ladder
• Vortex Line Fluctuations in Model High Temperature Superconductors
• Fluctuations and Intrinsic Pinning in Layered Superconductors
• Possible critical point in phase diagrams of interlayer Josephson-vortex systems in high-Tc superconductors
• Decoupled two-dimensional superconductivity and continuous melting transitions in layered superconductors immersed in a parallel magnetic field
• Quenching of phase coherence in quasi-one dimensional ring crystals
• Phase Transitions in a Model Anisotropic High Tc Superconductor
• Field-induced superconductor to insulator transition in Josephson-junction ladders

Cited by in corpus (5)

• Vortex jamming in superconductors and granular rheology
• Domain-wall structure of a classical Heisenberg ferromagnet on a Mobius strip
• The Mixed State of Charge-Density-Wave in a Ring-Shaped Single Crystals
• Vortex solid phase with frozen undulations in superconducting Josephson-junction arrays in external magnetic fields
• Transition by Breaking of Analyticity in the Ground State of Josephson Junction Arrays as a Static Signature of the Vortex Jamming Transition