Crossing lattices, vortex chains, and angular dependence of melting line in layered superconductors

Abstract

We investigate vortex structure and melting transition in very anisotropic layered superconductors at fields tilted with respect to the c-axis. We show that even a small in-plane field does not homogeneously tilt the vortex lattice but, instead, penetrates inside the superconductor in the form of Josephson vortices (JVs) similar to the Meissner state. At high c-axis magnetic field the phase field of the JV is built up from the phase perturbations created by displacements of pancake vortices. The crossing-lattices ground state leads to linear dependencies of the melting field and melting temperature on the in-plane field, in agreement with recent experimental observations. At small fields stacks of JVs accumulate additional pancake strings creating vortex rows with enhanced density. This mechanism explains the mixed chains-lattice state observed by Bitter decorations.

4 Pages, 2 Postscript figures

References in corpus (1)

• Anharmonicity of flux lattices and thermal fluctuations in layered superconductors

Cited by in corpus (52)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Inverse melting of the vortex lattice
• Terahertz Josephson plasma waves in layered superconductors: spectrum, generation, nonlinear, and quantum phenomena
• Step-wise Behavior of Vortex-Lattice Melting Transition in Tilted Magnetic Fields in Single Crystals Bi2Sr2CaCu2O8+d
• Equilibrium First-Order Melting and Second-Order Glass Transitions of the Vortex Matter in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$
• The London theory of the crossing-vortex lattice in highly anisotropic layered superconductors
• Decoration of Josephson Vortices by Pancake Vortices in Bi2Sr2CaCu2Ox
• Generation of tunable Terahertz out-of-plane radiation using Josephson vortices in modulated layered superconductors
• First order phase transition from the vortex liquid to an amorphous solid
• {\em Ab Initio} Calculations of ${\mathbf{H}}_{c2}$ in Type-II Superconductors: Basic Formalism and Model Calculations
• Two-dimensional vortex behavior in highly underdoped YBa_2Cu_3O_{6+x} observed by scanning Hall probe microscopy
• Vortex-chain phases in layered superconductors
• Attraction between pancakes vortices in the crossing lattices of layered superconductors
• Josephson vortices and solitons inside pancake vortex lattice in layered superconductors
• Vortex Matter Transition in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+y}$ under Tilted Fields
• Phase Transitions in Isolated Vortex Chains
• Vortex Chains in Anisotropic Superconductors
• Critical currents in vicinal YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films
• Tilted vortex cores and superconducting gap anisotropy in 2H-NbSe2
• Strong 3D correlations in vortex system of Bi2212:Pb
• Composite to tilted vortex lattice transition in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ in oblique fields
• Slowing down Josephson vortex lattice in Bi_2Sr_2CaCu_2O_{8+d} with pancake vortices
• Resonance effects due to the excitation of surface Josephson plasma waves in layered superconductors
• Theory of Decoupling in the Mixed Phase of Extremely Type-II Layered Superconductors
• Anisotropy of Vortex-Liquid and Vortex-Solid Phases in Single Crystals of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$: Violation of the Scaling Law
• Two Phase Collective Modes in Josephson Vortex Lattice in Intrinsic Josephson Junction Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Observation of two species of vortices in the anisotropic spin-triplet superconductor $S{r}_{2}Ru{O}_4$
• Attractive interaction between superconducting vortices in tilted magnetic fields
• Melting of regular and decoupled vortex lattices in BSCCO crystals
• Suppression of Geometric Barrier in Type II Superconducting Strips
• Enhanced Transmission of Terahertz Radiation through Periodically Modulated Slabs of Layered Superconductors
• Suppression of geometrical barrier in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ crystals by Josephson vortex stacks
• Fluctuating pancake vortices revealed by dissipation of Josephson vortex lattice
• First-order disorder-driven transition and inverse melting of the vortex lattice
• Vortex clusters and multiquanta flux lattices in thin films of anisotropic superconductors
• Langevin Dynamics of the vortex matter two-stage melting transition in Bi_2Sr_2CaCu_2O${}_{8+\delta }$ in the presence of straight and of tilted columnar defects
• Visualizing a dilute vortex liquid to solid phase transition in a Bi2Sr2CaCu2O8 single crystal
• Microcantilever Studies of Angular Field Dependence of Vortex Dynamics in BSCCO
• Vortex motion in tilted magnetic fields in highly layered electron-doped superconductor Nd2-xCexCuO4
• Lamellar mesophase nucleated by Josephson vortices at the melting of the vortex lattice in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+delta}$
• Coexisting multiple dynamic states generated by magnetic field in Bi-2212 stacked Josephson junctions
• Collective responses of Bi-2212 stacked junction to 100 GHz microwave radiation under magnetic field oriented along the c-axis
• Dynamic interactions between pancake vortex stacks and Josephson vortices in Bi2Sr2CaCu2O8 single crystals: relaxation and ratchets
• Phase Diagram of Vortices in High-T_c Superconductors with a Melting Line in the deep H_{c2} Region
• In-plane field-induced vortex liquid correlations in underdoped Bi_2Sr_2CaCu_2O_8+δ
• Tilted and crossing vortex chains in layered superconductors
• Vortex liquid correlations induced by in-plane field in underdoped Bi2Sr2CaCu2O8+d
• Mapping the dynamic interactions between vortex species in highly anisotropic superconductors
• Vortex-Line Phase Diagram for Anisotropic Superconductors
• Pre-melting of crossing vortex lattices
• Interactions between Josephson and pancake vortices revealed by second harmonic Hall measurements
• Dependence of vortex phase transitions in mesoscopic BSCCO superconductor at tilted magnetic fields