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We discuss the analysis of mixed-state magnetization data of type-II superconductors using a recently developed scaling procedure. It is based on the fact that, if the Ginzburg-Landau parameter kappa does not depend on temperature, the…

超导电性 · 物理学 2015-06-24 I. L. Landau , H. R. Ott

The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis…

数值分析 · 数学 2025-10-20 H. G. Kaper , H. Nordborg

We investigate superconducting systems with the use of the phenomenological Landau's theory of second order phase transitions, including into the considerations the critical behaviour of the chemical potential. We derive in this way a…

超导电性 · 物理学 2015-06-24 B. Grabiec , M. Matlak

We describe a semi-analytic approach to the two-band Ginzburg-Landau theory, which predicts the behavior of vortices in two-band superconductors. We show that the character of the short-range vortex-vortex interaction is determined by the…

超导电性 · 物理学 2011-07-18 A. Chaves , L. Komendová , M. V. Milošević , J. S. Andrade , G. A. Farias , F. M. Peeters

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…

超导电性 · 物理学 2009-10-30 T. J. Hagenaars , E. H. Brandt

The first-order nature of the vortex-lattice melting transition in copper-based layered high-Tc superconductors is well established. The associated discontinuities in magnetization have been extensively studied, for example, in YBa2Cu3O7…

超导电性 · 物理学 2015-06-05 Olaf Bossen , Andreas Schilling

The free energy costs for various defects within an Abrikosov lattice of vortices are calculated using the lowest Landau level approximation (LLL). Defect solutions with boundary conditions for lines to meet at a point (crossing defect) and…

凝聚态物理 · 物理学 2009-10-22 M. J. W. Dodgson , M. A. Moore

We consider the quantum melting of a two-dimensional flux lattice at temperature T = 0 in the ``superclean limit.'' In this regime, we find that vortex motion is dominated by the Magnus force. A Lindemann criterion predicts melting when…

凝聚态物理 · 物理学 2009-10-28 A. Rozhkov , D. Stroud

The vortex state of mesoscopic three-dimensional superconductors is determined using a minimization procedure of the Ginzburg-Landau free energy. We obtain the vortex pattern for a mesoscopic superconducting sphere and find that vortex…

超导电性 · 物理学 2007-12-27 Mauro M. Doria , Antonio R. de C. Romaguera , F. M. Peeters

We present an analysis of the magnetic response of a mesoscopic superconductor, i.e. a system of sizes comparable to the coherence length and to the London penetration depth. Our approach is based on special properties of the two…

超导电性 · 物理学 2009-10-31 E. Akkermans , D. M. Gangardt , K. Mallick

A systematic perturbation theory is developed to describe the magnetic field-induced subdominant $s$- and $d_{xy}$-wave order parameters in the mixed state of a $d_{x^2-y^2}$-wave superconductor, enabling us to obtain, within weak-coupling…

超导电性 · 物理学 2009-10-31 Mei-Rong Li , P. J. Hirschfeld , P. Woelfle

Using the Ginzburg-Landau theory in very general terms, we develop a simple scaling procedure which allows to establish the temperature dependence of the upper critical field and the value of the superconducting critical temperature Tc of…

超导电性 · 物理学 2009-11-07 I. L. Landau , H. R. Ott

The response of a single vortex to a time dependent field is examined microscopically and an equation of motion for vortex motion at non-zero frequencies is derived. Of interest are frequencies near $\Delta^{2}/E_{F}$, where $\Delta$ is the…

凝聚态物理 · 物理学 2009-10-22 Theodore C. Hsu

The thermal fluctuations contribution to magnetization and magneto-conductivity of type II layered superconductor is calculated in the framework of Lawrence-Doniach model. For numerous high temperature cuprate superconductors, it was…

超导电性 · 物理学 2017-12-27 Cheng Chi , Xujiang Jiang , Jiangfan Wang , Dingping Li , Baruch Rosenstein

For a superconductor to be able to receive an external magnetic field, there must be a vacant energy state in the superconductor to receive the energy associated with the field. For a small range of energies near that of the critical…

超导电性 · 物理学 2012-12-04 Ralph C. Dougherty , J. Daniel Kimel

In this paper we analyze the structure, phase transitions and some transport properties of the vortex system when the external magnetic field lies parallel to the planes in layered superconductors. We show that experimental results for…

超导电性 · 物理学 2009-10-31 M. F. Laguna , D. Dominguez , C. A. Balseiro

The nonlinear Ginzburg-Landau equations are solved numerically in order to investigate the vortex structure in thin superconducting disks of arbitrary shape. Depending on the size of the system and the strength of the applied magnetic field…

超导电性 · 物理学 2007-05-23 F. M. Peeters , B. J. Baelus

We study the magnetic-field dependence of the vortex-core charge in the Abrikosov lattice of an $s$-wave superconductor based on the augmented quasiclassical equations, where we incorporate the pair-potential gradient (PPG) terms…

超导电性 · 物理学 2022-02-23 Marie Ohuchi , Hikaru Ueki , Takafumi Kita

Using a recently proposed Ginzburg-Landau-like lattice free energy functional due to Banerjee et al. Phys. Rev. B 83, 024510 (2011) we calculate the fluctuation diamagnetism of high-Tc superconductors as a function of doping, magnetic field…

超导电性 · 物理学 2015-12-15 Kingshuk Sarkar , Sumilan Banerjee , Subroto Mukerjee , T. V. Ramakrishnan

The Landau expansion for the free energy of the superconducting mixed state near the upper critical field in powers of the square modulus of the order parameter averaged over Abrikosov lattice is derived. The analytical calculations has…

超导电性 · 物理学 2016-08-31 V. P. Mineev