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This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy,…

Numerical Analysis · Mathematics 2025-10-20 D. O. Gunter , H. G. Kaper , G. K. Leaf

The review is devoted to the detailed description of the fluctuation phenomena in superconductors. Developing phenomenological methods through the first five sections we deal with the direct fluctuation pair contributions only. The indirect…

Superconductivity · Physics 2007-05-23 A. I. Larkin , A. A. Varlamov

The helicity modulus for a fluctuating type II superconductor is computed within the elastic medium approximation, as a probe of superconducting phase coherence and the Meissner effect in the mixed state. We argue that at the vortex line…

Condensed Matter · Physics 2009-10-22 Tao Chen , S. Teitel

The lattice Ginzburg-Landau model in d=3 and d=2 is simulated, for different values of the coherence length $\xi$ in units of the lattice spacing $a$, using a Monte Carlo method. The energy, specific heat, vortex density $v$, helicity…

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

We show that in two-gap Ginzburg-Landau model there is a wide range of parameters where the behaviour of the superconductor in external field can not be classified nor as type-I nor as type-II. In this regime the superconductor features a…

Superconductivity · Physics 2007-05-23 Egor Babaev

Using a linear analysis, we study the stability of giant-vortex states in very thin disks. The vortex expulsion and penetration fields are obtained for finite thickness disks from a numerical solution of the non-linear Ginzburg-Landau (GL)…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 V. A. Schweigert , F. M. Peeters

We present an improved analysis of the phase transitions in rare earth superconductor using Ginzburg-Landau theory. Our work is based on the systematic study of critical field and superconducting order parameter in the presence of localized…

Materials Science · Physics 2021-01-19 Preeti Suman Dash , Salila Das , Prabir K. Mukherjee

We analyze magnetic flux tubes at zero temperature in a superconductor that is coupled to a superfluid via both density and gradient (``entrainment'') interactions. The example we have in mind is high-density nuclear matter, which is a…

Nuclear Theory · Physics 2008-11-26 Mark G. Alford , Gerald Good

The superconductive phase transition in the Ginzburg-Landau theory (or Coulomb-Higgs phase transition of scalar QED in 3D) is discussed in a dual formulation which focuses on the magnetic rather than the electric excitations of the system.…

supr-con · Physics 2008-02-03 Hagen Kleinert , Adriaan Schakel

We consider here the fluctuation conductivity near the point of the insulator-superconductor transition in a system of regular Josephson junction arrays in the presence of particle-hole asymmetry or equivalently homogeneous charge…

Condensed Matter · Physics 2009-10-31 Denis Dalidovich , Philip Phillips

We study the thermodynamics of a model of pancake vortices in layered superconductors. The model is based on the effective pair potential for the pancake vortices derived from the London approximation of a version of the Lawrence-Doniach…

Superconductivity · Physics 2009-11-07 Joonhyun Yeo , M. A. Moore

We study the effect of a transport current on the vortex-line lattice in isotropic type-II superconductors in the presence of strong thermal fluctuations by means of 'driven-diffusion' Monte Carlo simulations of a discretized London theory…

Superconductivity · Physics 2009-10-30 T. J. Hagenaars , E. H. Brandt

A new Green's function representation is employed in a microscopic derivation of a Ginzburg-Landau theory of strongly type superconductivity at high magnetic fields. An exact analytical, physically transparent expression for the quartic…

Superconductivity · Physics 2015-06-04 V. Zhuravlev , T. Maniv

The vortex phases in type-II superconductors are very important since they determine many magnetic and electric properties of the parent compound. However, a universal tool to characterize the vortex phases is still lacking. We demonstrate…

Superconductivity · Physics 2023-08-15 Peipei Lu , Jing Zhang , Jun Lu , Xiaoyuan Zhou , Young Sun , Yisheng Chai

Recently, a three-component Ginzburg-Landau (GL) model compatible with the 3Q pair-density-wave state has been proposed to explain the fractional quantum magnetic resistance oscillations of period $\phi_0/3 = hc/6e$ observed in…

Superconductivity · Physics 2026-05-28 Shen-Yi Peng , Ling-Feng Zhang , Xiao Hu

By considering the Ginzburg-Landau model, compactified in one of the spatial dimensions, and using a modified Matsubara formalism, we determine the dependence of the superconducting transition temperature (T_c) of a film as a function of…

Soft Condensed Matter · Physics 2007-05-23 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

In this paper I calculate the possible alteration of the gravitational field in a superconductor by using the time-dependent Ginzburg-Landau equations (TDGL). I compare the behaviour of a high-Tc superconductor (HTCS) like YBa_2Cu_3O_7…

Superconductivity · Physics 2007-05-23 G. A. Ummarino

Based on a two dimensional odd-parity superconducting order parameter for Sr_2RuO_4 with p-wave symmetry, we investigate the single vortex and vortex lattice structure of the mixed phase near H_{c1}. Ginzburg-Landau calculations for a…

Superconductivity · Physics 2009-10-31 R. Heeb , D. F. Agterberg

We numerically investigate the phenomenological nonlocal Ginzburg-Landau Hamiltonian for two-dimensional superconductors in a strong magnetic field by Langevin equation. We obtain a regular vortex lattice which is very near to the square…

Superconductivity · Physics 2009-10-30 Ayumi Fujita

We study the 2D Ginzburg-Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this regime the order parameter minimizing the GL energy is concentrated along the…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie
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