Structural Transitions in Vortex Systems with Anisotropic Interactions

Abstract

We introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex-vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the anisotropy is increased, with a triangular lattice at low anisotropy, a rhombic intermediate state, and a square lattice for high anisotropy. In some cases we observe a multi-$q$ state consisting of an Archimedean tiling that combines square and triangular local ordering. At very high anisotropy, domains of vortex chain states appear. We discuss how this model can be generalized to higher order anisotropy as well as its applicability to other particle-based systems with anisotropic particle-particle interactions.

arXiv comment7 pages, 7 figures

References in corpus (28)

• Nonequilibrium Dynamic Phase Diagram for Vortex Lattices
• Robust metastable skyrmions and their triangular-square lattice-structural transition in a high-temperature chiral magnet
• Vortex Lattice Dynamics in Rotating Spinor Bose-Einstein Condensates
• Hall noise and transverse freezing in driven vortex lattices
• Direct evidence for an intrinsic square vortex lattice in the overdoped high-Tc superconductor La1.83Sr0.17CuO4+d
• Observation of a Triangular to Square Flux Lattice Phase Transition in YBCO
• Fishtail effect and vortex dynamics in LiFeAs single crystals
• Reentrant vortex lattice transformation in four-fold symmetric superconductors
• Theory of equilibrium flux lattices in unconventional superconductors
• Electromagnetically superconducting phase of vacuum in strong magnetic field: structure of superconductor and superfluid vortex lattices in the ground state
• Temperature Dependence of the Flux Line Lattice Transition into Square Symmetry in Superconducting LuNi${}_2$B${}_2$C
• Hexagonal and Square Flux Line Lattices in CeCoIn5
• Morphology of the Superconducting Vortex Lattice in Ultra-Pure Niobium
• Observation of vortex coalescence in the anisotropic spin-triplet superconductor Sr${}_2$RuO${}_4$
• Muon-spin rotation measurements of the vortex state in Sr${}_2$RuO${}_4$: type-1.5 superconductivity, vortex clustering and a crossover from a triangular to a square vortex lattice
• Field Dependent Coherence Length in the Superclean, High-Kappa Superconductor CeCoIn5
• Transport Anisotropy as a Probe of the Interstitial Vortex State in Superconductors with Artificial Pinning Arrays
• Fermi surface and order parameter driven vortex lattice structure transitions in twin-free YBa2Cu3O7
• Archimedean-like colloidal tilings on substrates with decagonal and tetradecagonal symmetry
• Observations of Pauli Paramagnetic Effects on the Flux Line Lattice in CeCoIn5
• Pinning, Ordering, and Dynamics of Vortices in Conformal Crystal and Gradient Pinning Arrays
• Orientational Ordering, Buckling, and Dynamic Transitions for Vortices Interacting with a Periodic Quasi-One Dimensional Substrate
• The Phase Transition to a Square Vortex Lattice in Type-II Superconductors with Fourfold Anisotropy
• Strain-induced inter-vortex interaction and vortex lattices in tetragonal superconductors
• Conformal Vortex Crystals
• Vortex Lattice Structural Transitions: a Ginzburg-Landau Model Approach
• High magnetic field studies of the Vortex Lattice structure in YBa2Cu3O7
• First-Order Reorientation of the Flux-Line Lattice in CaAlSi

Cited by in corpus (10)

• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Disordered hyperuniform vortex matter with rhombic distortions in FeSe at low fields
• Non-equilibrium structural phase transitions of the vortex lattice in MgB2
• Structural Transition Kinetics and Activated Behavior in the Superconducting Vortex Lattice
• Vortex lattice and vortex bound states in CsFe${}_2$As${}_2$ investigated by scanning tunneling microscopy/spectroscopy
• Rotational transition, domain formation, dislocations and defects in vortex systems with combined six- and 12-fold anisotropic interactions
• Structural studies of metastable and equilibrium vortex lattice domains in MgB2
• Driven Superconducting Vortex Dynamics in Systems with Two-Fold Anisotropy in the Presence of Pinning
• Evidence for a square-square vortex lattice transition in a high-$T_{\text{c}}$ cuprate superconductor
• Activated vortex lattice transition in a superconductor with combined sixfold and twelvefold anisotropic interactions