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Using both analytical arguments and detailed numerical evidence we show that the first order transition in the type-I 2D Abelian Higgs model can be understood in terms of the statistical mechanics of vortices, which behave in this regime as…

Condensed Matter · Physics 2013-05-29 Luis M. A. Bettencourt , Greg J. Stephens

We examine metastable and transient effects both above and below the first-order decoupling line in a 3D simulation of magnetically interacting pancake vortices. We observe pronounced transient and history effects as well as supercooling…

Superconductivity · Physics 2009-11-10 C. J. Olson , C. Reichhardt , R. T. Scalettar , G. T. Zimanyi , N. Gronbech-Jensen

We calculate the transition line of the first-order melting of vortex lattice in a three-dimensional type-II superconductor in fields of several Tesla, using the results from the density-functional theory of vortex melting in two dimensions…

Condensed Matter · Physics 2009-10-28 Igor F. Herbut , Zlatko Tesanovic

The equilibrium dynamics of a thin film type II superconductor with spherical geometry are investigated numerically in a simulation based on the lowest Landau level approximation to the time-dependent Ginzburg-Landau equation. Both the…

Superconductivity · Physics 2009-10-30 A. K. Kienappel , M. A. Moore

We present results from extensive numerical simulations on the Lawrence-Doniach model within the lowest Landau level approximation in the unconventional spherical geometry. We study the in-layer pancake vortex density-density correlation…

Superconductivity · Physics 2007-05-23 A. Zamora

We investigate the finite-temperature phase diagram of the classical Kitaev-Heisenberg model on the hexagonal lattice. Due to the anisotropy introduced by the Kitaev interaction, the model is magnetically ordered at low temperatures for all…

Strongly Correlated Electrons · Physics 2013-07-19 Craig Price , Natalia B. Perkins

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

We quantitatively describe the competition between the thermal fluctuations and the disorder using the Ginzburg -- Landau approach. Flux line lattice in type II superconductors undergoes a transition into three "disordered" phases: vortex…

Superconductivity · Physics 2007-05-23 Dingping Li , Baruch Rosenstein

In very anisotropic layered superconductors (e.g. Bi$_2$Sr$_2$CaCu$_2$O$_x$) a tilted magnetic field can penetrate as two co-existing lattices of vortices parallel and perpendicular to the layers. At low out-of-plane fields the…

Superconductivity · Physics 2009-11-07 Matthew J. W. Dodgson

Landau theory is used to investigate the behaviour of a metallic magnet driven towards a quantum critical point by the application of pressure. The observed dependence of the transition temperature with pressure is used to show that the…

Statistical Mechanics · Physics 2015-05-14 Gillian A Gehring , Mahrous R. Ahmed

The properties of materials near structural phase transitions are often successfully described in the framework of Landau theory. While the focus is usually on phase transitions, which are induced by temperature changes approaching a…

Materials Science · Physics 2010-01-19 W. Schranz , A. Troester , J. Koppensteiner , R. Miletich

We study the phase diagram of vortex matter in disordered type-II superconductors. We performed numerical simulations in the London Langevin approximation, using a new realistic representation of the disorder. At low magnetic fields we find…

Superconductivity · Physics 2016-08-31 Anne van Otterlo , Richard T. Scalettar , Gergely T. Zimanyi

Topologically ordered phases of matter elude Landau's symmetry-breaking theory, featuring a variety of intriguing properties such as long-range entanglement and intrinsic robustness against local perturbations. Their extension to…

Vortex motion in type II superconductors is studied starting from a variant of the time dependent Ginzburg-Landau equations, in which the order parameter relaxation time is taken to be complex. Using a method due to Gor'kov and Kopnin, we…

Condensed Matter · Physics 2008-11-26 Alan T. Dorsey

In the framework of Landau theory of phase transitions one is interested to describe all the possible low symmetry ``superconducting'' phases allowed for a given superconductor crystal and to determine the conditions under which this…

Mathematical Physics · Physics 2007-05-23 Vittorino Talamini

We show that rotation of the magnetic field off the plane of twin boundaries (TB's) induces transition of an ordered vortex solid phase to a disordered one. This transition arises due to appearance of transverse deformations of vortex lines…

Superconductivity · Physics 2008-03-10 Yu. T. Petrusenko , A. V. Bondarenko , A. A. Zavgorodniy , M. A. Obolenskii , V. I. Beletskii

We investigate in this paper the ground state and the nature of the transition from an orientational ordered phase at low temperature to the disordered state at high temperature in a molecular crystal. Our model is a Potts model which takes…

Statistical Mechanics · Physics 2015-06-03 Danh-Tai Hoang , H. T. Diep

Using Langevin dynamics, we have investigated the dynamics of vortices in a disordered two dimensional superconductor subjected to a uniform driving current. The results provide direct numerical evidence for a dynamical phase transition…

Condensed Matter · Physics 2009-10-28 Seungoh Ryu , M. Hellerqvist , S. Doniach , A. Kapitulnik , D. Stroud

We examine the statics and dynamics of vortices in the presence of a periodic quasi-one dimensional substrate, focusing on the limit where the vortex lattice constant is smaller than the substrate lattice period. As a function of the…

Superconductivity · Physics 2017-12-06 Q. Le Thien , D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

We study the effects of weak columnar and point disorder on the vortex-lattice phase transitions in high temperature superconductors. The combined effect of thermal fluctuations and of quenched disorder is investigated using a simplified…

Condensed Matter · Physics 2009-10-28 Yadin Y. Goldschmidt