Phase transitions in isolated vortex chains

Dodgson, M.

doi:10.1103/physrevb.66.014509

Cited by 35 publications

(14 citation statements)

References 38 publications

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“…The discussed structure of a PV line crossed by a JV stack has a pronounced effect on vortex interactions [28] in crossing-lattice states of layered superconductors as well as their magnetization. For example, the tilt produces a dipole moment for all PV lines (even in the Abrikosov regions in between JV stacks), which generates an attraction between PV stacks [29].…”

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confidence: 98%

Tilt of Pancake Vortex Stacks in Layered Superconductors in the Crossing Lattice Regime

et al. 2005

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We study crossing vortices in strongly anisotropic Bi2Sr2CaCu2O8+delta single crystals. Using scanning Hall probe microscopy and Bitter decoration techniques, we find an asymmetry of magnetic field profiles produced by pancake vortices (PVs), which are interacting with Josephson vortices (JVs), near the surface of the crystal. We attribute the observed asymmetry to a substantial tilt (14-18 degrees) of PV stacks, which is produced by the torque due to the surface currents and JVs. We calculate the tilt angle and obtain agreement with experimental data when the irreversible in-plane magnetization is included. A further refinement to the model is considered which accounts for a reduction in the PV stack line tension near the sample surface.

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confidence: 98%

Tilt of Pancake Vortex Stacks in Layered Superconductors in the Crossing Lattice Regime

et al. 2005

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“…Condensates can afford a rich variety of vortex-cluster structures, including soliton-vortex hybrids 29 , vortex chains 39 40 , turbulent vortex tangles 41 , corotating vortices 42 vortex dipoles 13 43 44 45 46 47 48 , vortex tripoles 49 50 and vortex quadrupoles 51 52 53 54 55 . Different from the vortex lattice induced by the rotation of BECs 56 57 58 59 , the complex structures made by vortices with opposite charges are excited collective states of nonrotating BECs.…”

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Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensates

Yang

Zou

et al. 2016

Sci Rep

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Dynamics of vortex clusters is essential for understanding diverse superfluid phenomena. In this paper, we examine the dynamics of vortex quadrupoles in a trapped two-dimensional (2D) Bose-Einstein condensate. We find that the movement of these vortex-clusters fall into three distinct regimes which are fully described by the radial positions of the vortices in a 2D isotropic harmonic trap, or by the major radius (minor radius) of the elliptical equipotential lines decided by the vortex positions in a 2D anisotropic harmonic trap. In the “recombination” and “exchange” regimes the quadrupole structure maintains, while the vortices annihilate each other permanently in the “annihilation” regime. We find that the mechanism of the charge flipping in the “exchange” regime and the disappearance of the quadrupole structure in the “annihilation” regime are both through an intermediate state where two vortex dipoles connected through a soliton ring. We give the parameter ranges for these three regimes in coordinate space for a specific initial configuration and phase diagram of the vortex positions with respect to the Thomas-Fermi radius of the condensate. We show that the results are also applicable to systems with quantum fluctuations for the short-time evolution.

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“…19,20 At very small c-axis fields (∼ several gauss) the regions of triangular lattice vanish leaving only chains of stacks. 17 Moreover, there are experimental indications 17 and theoretical reasoning 21 in favor of the phase transition from the crossing configuration of pancake-stack chains and JVs into chains of tilted vortices. JVs also modify the interaction between pancake stacks leading to an attractive interaction between the stacks at large distances.…”

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confidence: 99%

Josephson vortices and solitons inside pancake vortex lattice in layered superconductors

Koshelev

2003

Phys. Rev. B

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In very anisotropic layered superconductors a tilted magnetic field generates crossing vortex lattices of pancake and Josephson vortices (JVs). We study the properties of an isolated JV in the lattice of pancake vortices. JV induces deformations in the pancake vortex crystal, which, in turn, substantially modify the JV structure. The phase field of the JV is composed of two types of phase deformations: the regular phase and vortex phase. The phase deformations with smaller stiffness dominate. The contribution from the vortex phase smoothly takes over with increasing magnetic field. We find that the structure of the cores experiences a smooth yet qualitative evolution with decrease of the anisotropy. At large anisotropies pancakes have only small deformations with respect to position of the ideal crystal while at smaller anisotropies the pancake stacks in the central row smoothly transfer between the neighboring lattice positions forming a solitonlike structure. We also find that even at high anisotropies pancake vortices strongly pin JVs and strongly increase their viscous friction.

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Phase transitions in isolated vortex chains

Cited by 35 publications

References 38 publications

Tilt of Pancake Vortex Stacks in Layered Superconductors in the Crossing Lattice Regime

Tilt of Pancake Vortex Stacks in Layered Superconductors in the Crossing Lattice Regime

Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensates

Josephson vortices and solitons inside pancake vortex lattice in layered superconductors

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