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In a class of two-component Ginzburg-Landau models (TCGL) with a U(1)$\times$U(1) symmetric potential, vortices with a condensate at their core may have significantly lower energies than the Abrikosov-Nielsen-Olesen (ANO) ones. On the…

High Energy Physics - Theory · Physics 2016-09-21 Peter Forgacs , Árpád Lukács

A simulation study using the time-dependent Ginzburg-Landau theory is performed for the vortex state in two-component superconductors, such as PrOs_4_Sb_12_. We investigate the flux flow and the pinning of the vortex sheet structure. We…

Superconductivity · Physics 2007-08-01 Yasushi Matsunaga , Masanori Ichioka , Kazushige Machida

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

The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature of type-II superconductors is the occurrence of vortices, which appear above a certain value of the applied magnetic field called the first…

Analysis of PDEs · Mathematics 2019-02-05 Carlos Román

Varying the angle Theta between applied field and the conducting planes of a layered superconductor in a small interval close to the plane-parallel field direction, a large number of superconducting states with unusual properties may be…

Superconductivity · Physics 2009-11-10 U. Klein

Charge density bounds of knotted and linked vortex states in two-component Ginzburg-Landau model are considered. When the mutual linking number of vector order parameter vortex lines is less than the Hopf invariant, these states have the…

Superconductivity · Physics 2007-05-23 A. P. Protogenov

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex…

Superconductivity · Physics 2007-05-23 G. F. Zharkov , V. G. Zharkov , A. Yu. Zvetkov

We study the minimizers of the Ginzburg-Landau energy functional with a constant magnetic field in a three dimensional bounded domain. The functional depends on two positive parameters, the Ginzburg-Landau parameter and the intensity of the…

Analysis of PDEs · Mathematics 2015-11-30 Marwa Nasrallah , Ayman Kachmar

We report the results of high-field, low-temperature MuSR measurements of the quasi two-dimensional organic superconductors \k{appa}-(ET)2Cu(NCS)2 and \k{appa}-(ET)2Cu[N(CN)2]Br. The MuSR lineshapes for these compounds indicate the…

Superconductivity · Physics 2015-06-23 A. Maniv , V. Zhuravlev , T. Maniv , O. Ofer , R. Rommel , J. Muller , J. E. Sonier

To investigate the different vortex structure between two chiral pairing p_x +(-) i p_y, we calculate the pair potential, the internal field, the local density of states, and free energy in the vortex lattice state based on the…

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

In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

We use lattice Monte Carlo simulations to study non-perturbatively the tension, i.e. the free energy per unit length, of an infinitely long vortex in the three-dimensional U(1)+Higgs theory. This theory is the low-energy effective theory of…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Kajantie , M. Laine , T. Neuhaus , J. Peisa , A. Rajantie , K. Rummukainen

We investigate the flux penetration patterns and matching fields of a long cylindrical wire of circular cross section in the presence of an external magnetic field. For this study we write the London theory for a long cylinder both for the…

Superconductivity · Physics 2009-10-31 Pablo A. Venegas , Edson Sardella

It is commonly accepted that the peak effect (PE) in the critical current density of type II superconductors is a consequence of an order-disorder transition in the vortex lattice (VL). Examination of vortex lattice configurations (VLCs) in…

Superconductivity · Physics 2009-11-13 G. Pasquini , D. Perez Daroca , C. Chiliotte , G. S. Lozano , V. Bekeris

The article reviews recent developments on magnetic properties of superconductors with anisotropic Cooper pairing. In particular, we show how the concept of broken symmetries is applied to the investigation of the mixed state in…

Condensed Matter · Physics 2016-08-31 I. A. Luk'yanchuk , M. E. Zhitomirsky

Two different aspects of high T_c superconductivity is studied in two independent parts of this thesis. In the first part we study Landau's Fermi liquid theory and nearly antiferromagnetic Fermi liquid theory (NAFL) in 2D. We that…

Superconductivity · Physics 2007-05-23 M. H. S. Amin

In this work we classify the singularities obtained from the Gibbs potential of a lattice gas model with three components, two order parameters and five control parameters applying the general theorems provided by Catastrophe Theory. In…

Statistical Mechanics · Physics 2009-10-31 J. Gaite , J. Margalef-Roig , S. Miret-Artés

We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter $\varepsilon$, and near the first critical field $H_{c_1}$ for which the…

Analysis of PDEs · Mathematics 2025-10-20 Carlos Román , Etienne Sandier , Sylvia Serfaty

A gravity dual of a superconductor at finite temperature has been recently proposed. We present the vortex configuration of this model and study its properties. In particular, we calculate the free energy as a function of an external…

High Energy Physics - Theory · Physics 2013-05-29 Marc Montull , Alex Pomarol , Pedro J. Silva

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