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Ferromagnetic order in superconductors can induce a {\em spontaneous} vortex (SV) state. For external field ${\bf H}=0$, rotational symmetry guarantees a vanishing tilt modulus of the SV solid, leading to drastically different behavior than…

Soft Condensed Matter · Physics 2009-11-07 Leo Radzihovsky , A. M. Ettouhami , Karl Saunders , John Toner

We study the effect of a single columnar pin on a $(1+1)$ dimensional array of vortex lines in planar type II superconductors in the presence of point disorder. In large samples, the pinning is most effective right at the temperature of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Anatoli Polkovnikov , Yariv Kafri , David R. Nelson

We explore in detail the angular dependent vortex dynamics in type II superconductors with aligned columnar defects introduced by irradiation with very energetic heavy-ions. We use dc magnetization measurements deep in the vortex solid…

Superconductivity · Physics 2007-05-23 Leonardo Civale , Alejandro V. Silhanek , Gabriela Pasquini

We study the phase diagram of flux lines in superconductors with columnar pins. Based on numerical exact diagonalisation simulations on small clusters, we get two phases of vortices: A low temperature pinned glass with diverging tilt…

Condensed Matter · Physics 2013-05-29 Ajay Nandgaonkar , D. G. Kanhere , Nandini Trivedi

It is shown that the large effect of heavy ion-irradiation on the thermodynamical properties of the anisotropic superconductor YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ extends well into the superconducting fluctuation regime. The presence of the…

The interplay between disorder and vortex--vortex interactions in strongly disordered superconductors in a magnetic field can stabilize a vortex-glass state, characterized by strong pinning and the absence of positional order. Yet its role…

This is an analytical study of pinning and spontaneous vortex phase is a system consisting of a superconducting thin film pierced by a long ferromagnetic columnar defect of finite radius $R$. The magnetic fields, screening currents, energy…

Superconductivity · Physics 2007-05-23 M. Amin Kayali

We study the non-equilibrium relaxation kinetics of interacting magnetic flux lines in disordered type-II superconductors at low temperatures by means of a three-dimensional elastic line model and Monte Carlo simulations. Investigating the…

Superconductivity · Physics 2011-11-21 Michel Pleimling , Uwe C. Täuber

We use numerical minimization of a model free energy functional to study the effects of columnar pinning centers on the structure and thermodynamics of a system of pancake vortices in the mixed phase of highly anisotropic layered…

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

The elastic moduli of vortex crystals in anisotropic superconductors are frequently involved in the investigation of their phase diagram and transport properties. We provide a detailed analysis of the harmonic eigenvalues (normal modes) of…

Superconductivity · Physics 2007-05-23 M. -Carmen Miguel , Mehran Kardar

We study the melting transition of the low-temperature vortex solid in strongly anisotropic layered superconductors with a concentration of random columnar pinning centers small enough so that the areal density of the pins is much less than…

Superconductivity · Physics 2009-11-10 Chandan Dasgupta , Oriol T. Valls

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

To better understand vortex pinning in thin superconducting slabs, we study the interaction of a single fluctuating vortex filament with a curved line defect in (1+1) dimensions. This problem is also relevant to the interaction of scratches…

Statistical Mechanics · Physics 2009-11-11 Eleni Katifori , David R. Nelson

The mixed phase of layered superconductors with no magnetic screening is studied through a partial duality analysis of the corresponding frustrated XY model in the presence of random columnar pins. A small fraction of pinned vortex lines is…

Superconductivity · Physics 2009-11-10 J. P. Rodriguez

Superconductors have two key characteristics. They expel magnetic field and they conduct electrical current with zero resistance. However, both properties are compromised in high magnetic fields which can penetrate the material and create a…

Superconductivity · Physics 2007-05-23 Bo Chen , W. P. Halperin , Prasenjit Guptasarma , D. G. Hinks , V. F. Mitrovic , A. P. Reyes , P. L. Kuhns

We present a unified formulation of a rotationally invariant nonlinear elasticity for a variety of spontaneously anisotropic phases, and use it to study thermal fluctuations in nematic elastomers and spontaneously anisotropic gels. We find…

Soft Condensed Matter · Physics 2009-11-07 Xiangjun Xing , Leo Radzihovsky

We study the vortex glass transition in disordered high temperature superconductors using Monte Carlo simulations. We use a random pinning model with strong point-correlated quenched disorder, a net applied magnetic field, longrange vortex…

Superconductivity · Physics 2009-11-07 Anders Vestergren , Jack Lidmar , Mats Wallin

In amorphous superconductors, superconducting and vortex pinning properties are strongly linked to the absence of long range order. Consequently, superconductivity and vortex phases can be studied to probe the underlying microstructure and…

Superconductivity · Physics 2015-05-13 J. Lefebvre , M. Hilke , Z. Altounian

The electro-magnetic responses of ordered vortex lattices in unconventional superconductors are studied in a high field approximation. In the cases with a vortex lattice formed within the lowest Landau level of the superconducting order…

Superconductivity · Physics 2025-10-28 Ryusuke Ikeda , Yuto Yokota

A review is given on the theory of vortex-glass phases in impure type-II superconductors in an external field. We begin with a brief discussion of the effects of thermal fluctuations on the spontaneously broken U(1) and translation…

Superconductivity · Physics 2015-06-24 T. Nattermann , S. Scheidl
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