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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

Vortex lattices in the high temperature superconductors undergo a first order phase transition which has thus far been regarded as melting from a solid to a liquid. We point out an alternative possibility of a two step process in which…

Superconductivity · Physics 2017-02-08 Herve M. Carruzzo , Clare C. Yu

The theory presented is based on a simple Hamiltonian for a vortex lattice in a weak impurity background which includes linear elasticity and plasticity, the latter in the form of integer valued fields accounting for defects. Within a…

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

The vortex lattice (VL) symmetry and orientation in clean type-II superconductors depends sensitively on the host material anisotropy, vortex density and temperature, frequently leading to rich phase diagrams. Typically, a well-ordered VL…

Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the $ c$ axis. The vortex core structure is distorted due to this higher order…

Condensed Matter · Physics 2009-09-25 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $\lambda$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $\xi$ in units of…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

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

We present a geometry-based discussion of possible vortex configurations in the mixed state of anisotropic type-II superconductors. It is shown that, if energy considerations assign six nearest neighbors to each vortex, two distinct…

Superconductivity · Physics 2009-11-10 I. L. Landau , A. V. Sologubenko , H. R. Ott

The transformation of the vortex lattice in a tetragonal superconductor which consists of its 45 degree reorientation relative to the crystal axes is studied using the nonlocal London model. It is shown that the reorientation occurs as two…

Superconductivity · Physics 2009-10-31 A. Knigavko , V. G. Kogan , B. Rosenstein , T. -J. Yang

We analyze the rhombic to square vortex lattice phase transition in anisotropic superconductors using a variant of Ginzburg-Landau (GL) theory. The mean-field phase diagram is determined to second order in the anisotropy parameter, and…

Superconductivity · Physics 2009-11-10 A. D. Klironomos , Alan T. Dorsey

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…

Superconductivity · Physics 2018-07-30 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

Recent theoretical understanding of the vortex phase diagram in real layered type II superconductors is briefly described in both cases with fields perpendicular (B \parallel c) and parallel (B \perp c) to the superconducting layers. The…

Superconductivity · Physics 2007-05-23 Ryusuke Ikeda

I present clear evidences that for $d$=2 a first order transition takes place when the coherence length $\xi$ becomes of the order of the lattice spacing and that this is connected with a sudden proliferation of vortices. Similar results…

High Energy Physics - Theory · Physics 2007-05-23 H. Fort

In a type II superconductor in a moderate magnetic field, the superconductor to normal state transition may be described as a phase transition in which the vortex lattice melts into a liquid. In a biaxial superconductor, or even a uniaxial…

Superconductivity · Physics 2009-11-07 E. W. Carlson , A. H. Castro Neto , D. K. Campbell

Local density of states (LDOS) in the triangular vortex lattice is investigated based on the quasi-classical Eilenberger theory. We consider the case of an isotropic s-wave superconductor with the material parameter appropriate to NbSe_2.…

Superconductivity · Physics 2016-08-31 Masanori Ichioka , Nobuhiko Hayashi , Kazushige Machida

We study the two-dimensional Ginzburg-Landau model of a neutral superfluid in the vicinity of the vortex unbinding transition. The model is mapped onto an effective interacting vortex gas by a systematic perturbative elimination of all…

Condensed Matter · Physics 2009-10-22 Dierk Bormann , Hans Beck

We analyze the implication of off-diagonal long-range order (ODLRO) for inhomogeneous periodic field configurations and multi-component order parameters. For single component order parameters we show that the only static, periodic field…

Superconductivity · Physics 2022-06-10 Michael A. Rampp , Jörg Schmalian

Order-disorder transitions take place in many physical systems, but observing them in detail in real materials is difficult. In two- or quasi-two-dimensional systems, the transition has been studied by computer simulations and…

Superconductivity · Physics 2015-04-14 M. Zehetmayer

The work presented in my doctoral thesis is an experimental investigation of the nature of order to disorder transition of vortex lattice in a Type-II superconductor namely Co-intercalated 2H-NbSe2 using scanning tunnelling spectroscopy and…

Superconductivity · Physics 2016-09-13 Somesh Chandra Ganguli

Vortex matter phase transitions in the high-temperature superconductor Bi2Sr2CaCu2O8 were studied using local magnetization measurements combined with a vortex 'shaking' technique. The measurements revealed thermodynamic evidence of a…

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