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The zero temperature vortex phase diagram for uniaxial anisotropic superconductors placed in an external magnetic field tilted with respect to the axis of anisotropy is studied for parameters typical of BSCCO and YBCO. The exact Gibbs free…

Superconductivity · Physics 2009-11-07 W. A. M. Morgado , M. M. Doria , G. Carneiro , I. G. de Oliveira

A method is developed to compute minimal energy vortex lattices in a general Ginzburg-Landau model of a superconductor subjected to an applied magnetic field. The model may have any number of components and may be spatially anisotropic. The…

Superconductivity · Physics 2025-03-03 Martin Speight , Thomas Winyard

Vortex-line equilibrium configurations and critical currents for type-II superconducting films at zero-temperature are studied theoretically. The films are assumed to be of thickness less than or equal to the penetration depth, free of…

Superconductivity · Physics 2009-10-30 Gilson Carneiro

We use a simple elastic Hamiltonian for the vortex lattice in a weak impurity background which includes defects in the form of integer-valued fields to calculate the free energy of a vortex lattice in the deep H_{c2} region. The phase…

Superconductivity · Physics 2011-10-05 J. Dietel , H. Kleinert

The vortex state at the lower critical field, H_{c1}, in clean anisotropic superconductors placed in an external field tilted with respect to the axis of anisotropy (c-axis) is considered assuming two possible arrangements: dilute…

Superconductivity · Physics 2009-10-31 W. A. M. Morgado , M. M. Doria , G. Carneiro

The magnetic field distribution, the magnetic flux, and the free energy of an Abrikosov vortex loop near a flat surface of type--II superconductors are calculated in the London approximation. The shape of such a vortex line is a semicircle…

supr-con · Physics 2009-10-30 Alexey V. Samokhvalov

We propose a phase diagram for the vortex structure of high temperature superconductors which incorporates the effects of anisotropy and disorder. It is based on numerical simulations using the three-dimensional Josephson junction array…

Condensed Matter · Physics 2009-10-28 E. A. Jagla , C. A. Balseiro

The melting transition of the vortex lattice in highly anisotropic, layered superconductors with commensurate, periodic columnar pins is studied in a geometry where magnetic field and columnar pins are normal to the layers. Thermodynamic…

Superconductivity · Physics 2009-11-07 Chandan Dasgupta , Oriol T. Valls

Abrikosov's solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors at large inductions, is generalized to non-periodic vortex arrangements, e.g., to lattices with a vacancy…

Superconductivity · Physics 2008-06-09 Ernst Helmut Brandt

Ground-state properties of a two-dimensional system of superconducting vortices in the presence of a periodic array of strong pinning centers are studied analytically and numerically. The ground states of the vortex system at different…

Superconductivity · Physics 2009-11-07 Toby Joseph , Chandan Dasgupta

The dynamic phase diagram of vortex lattices driven in disorder is calculated in two and three dimensions. A modified Lindemann criterion for the fluctuations of the distance of neighboring vortices is used, which unifies previous analytic…

Superconductivity · Physics 2009-10-30 Stefan Scheidl , Valerii M. Vinokur

We have used small-angle neutron scattering to determine the vortex lattice phase diagram in the topological superconductor UPt3 for the applied magnetic field along the crystalline c-axis. A triangular vortex lattice is observed throughout…

In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise…

Superconductivity · Physics 2015-06-23 C. L. Phillips , T. Peterka , D. Karpeyev , A. Glatz

The statistical mechanics of the flux-line lattice in extreme type-II super- conductors is studied within the framework of the uniformly frustrated anisotropic 3D XY-model. A finite-field counterpart of an Onsager vortex-loop transition in…

Superconductivity · Physics 2009-10-30 A. K. Nguyen , A. Sudbø

We study the vortex-line lattice and liquid phases of a clean type-II superconductor by means of Monte Carlo simulations of the lattice London model. Motivated by a recent controversy regarding the presence, within this model, of a…

Superconductivity · Physics 2009-10-30 T. J. Hagenaars , E. H. Brandt , R. E. Hetzel , W. Hanke , M. Leghissa , G. Saemann-Ischenko

In this work we propose a new algorithm for the computation of statistical equilibrium quantities on a cubic lattice when both an energy and a statistical temperature are involved. We demonstrate that the pivot algorithm used in situations…

Statistical Mechanics · Physics 2021-06-15 Pavel Bělík , Eric Bibelnieks , Robert Laskowski , Aleksandr Lukanen , Douglas P. Dokken

The magnetic phase diagram at zero external field of an ensemble of dipoles with uniaxial anisotropy on a FCC lattice is investigated from tempered Monte Carlo simulations. The uniaxial anisotropy is characterized by a random distribution…

Materials Science · Physics 2020-11-11 V. Russier , Juan J. Alonso , I. Lisiecki , A. T. Ngo , C. Salzemann , S. Nakamae , C. Raepsaet

Monte Carlo simulations of the uniformly frustrated 3d XY model are used to model vortex line fluctuations in high temperature superconductors in an applied magnetic field. We find two distinct phase transitions. At a lower T_{c\perp}, the…

Condensed Matter · Physics 2009-10-22 Ying-Hong Li , S. Teitel

We carry out extensive Monte Carlo simulations of the three-dimensional (3D) uniformly frustrated XY model with uncorrelated randomly perturbed couplings, as a model for the equilibrium behavior of an extreme type-II superconductor with…

Superconductivity · Physics 2009-06-05 Peter Olsson , S. Teitel

We show that some experimentally observed features of vortex matter in high temperature superconductors may be interpreted in simpler ways than it is usually done. In particular, we consider magnetic flux creep at low temperatures as well…

Superconductivity · Physics 2007-05-23 I. L. Landau , H. R. Ott
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