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We study the three dimensional Ginzburg-Landau model of superconductivity. Several `natural' definitions of the (third) critical field, $H_{C_3}$, governing the transition from the superconducting state to the normal state, are considered.…

Mathematical Physics · Physics 2007-05-23 S. Fournais , B. Helffer

The Ginzburg-Landau equations are derived from the microscopic theory for clean layered superconductors with $d_{x^2-y^2}$ pairing symmetry, including the Pauli paramagnetism effect. The upper critical field $H_{c2}$ parallel to the $c$…

Superconductivity · Physics 2009-10-31 D. Tanasković , Z. Radović , L. Dobrosavljević-Grujić

We perform calculations to obtain the $H_{c2}$ curve of high temperature superconductors (HTSC). We consider explicitly the fact that the HTSC possess intrinsic inhomogeneities by taking into account a non uniform charge density $\rho(r)$.…

Superconductivity · Physics 2009-11-10 E. S. Caixeiro , J. L. González , E. V. L. de Mello

Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters,…

Superconductivity · Physics 2025-10-31 Harald Waje , Fabian Jakubczyk , Jeroen van den Brink , Carsten Timm

The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier [Lannert et al. Phys.…

Superconductivity · Physics 2007-05-23 M. Dudka , R. Folk , G. Moser

We have derived the so-called gap equation, which determines the upper critical magnetic field, perpendicular to conducting chains of a quasi-one-dimensional superconductor. By analyzing this equation at low temperatures, we have found that…

Superconductivity · Physics 2015-06-11 A. G. Lebed , O. Sepper

The upper critical field $\mu_0H_{c2}(T_c)$ of LiFeAs single crystals has been determined by measuring the electrical resistivity using the facilities of pulsed magnetic field at Los Alamos. We found that $\mu_0H_{c2}(T_c)$ of LiFeAs shows…

Superconductivity · Physics 2011-05-17 J. L. Zhang , L. Jiao , F. F. Balakirev , X. C. Wang , C. Q. Jin , H. Q. Yuan

We consider the Bardeen-Cooper-Schrieffer (BCS) free energy functional with weak and macroscopic external electric and magnetic fields and derive the Ginzburg-Landau functional. We also provide an asymptotic formula for the BCS critical…

Mathematical Physics · Physics 2023-08-17 Andreas Deuchert , Christian Hainzl , Marcel Maier

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

The angular dependence of the upper critical field Hc2 of MgB2 single crystals is studied at various temperatures by means of specific heat and transport measurements in magnetic fields up to 17 T. Clear deviations from Ginzburg-Landau…

The Ginzburg-Landau-based upper critical magnetic field $H_{\textrm{C2}}$ (0) $\approx$ 88 T for N-doped lutetium hydride, reported in Dasenbrock-Gammon et al., Nature $\textbf{615}$, 244 (2023), is obtained therein by modeling resistance…

Superconductivity · Physics 2023-05-23 Dale R. Harshman , Anthony T. Fiory

The upper critical fields, Hc2 of single crystals of Sr1-xEux(Fe0.89Co0.11)2As2(x=0.203 and 0.463) were determined by radio frequency penetration depth measurements in pulsed magnetic fields. Hc2 approaches the Pauli limiting field but…

Superconductivity · Physics 2015-06-03 Rongwei Hu , Eun Deok Mun , M. M. Altarawneh , C. H. Mielke , V. S. Zapf , S. L. Bud'ko , P. C. Canfield

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

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 consider the Bardeen-Cooper-Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of…

Mathematical Physics · Physics 2016-04-28 Rupert L. Frank , Christian Hainzl , Robert Seiringer , Jan Philip Solovej

We study the d-wave holographic superconductors (the d-wave model proposed in [arXiv:1003.2991[hep-th]]) immersed in constant external magnetic fields by using the analytic matching method and numerical computation. In the probe limit, we…

High Energy Physics - Theory · Physics 2012-11-07 Xian-Hui Ge , Shao Fei Tu , Bin Wang

We determine the upper critical field $\mu_0 H_{c2}(T_c)$ of non-centrosymmetric superconductor $Y_2 C_3$ using two distinct methods: the bulk magnetization M(T) and the tunnel-diode oscillator (TDO) based impedance measurements. It is…

Superconductivity · Physics 2015-03-17 H. Q. Yuan , J. Chen , J. Singleton , S. Akutagawa , J. Akimitsu

We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the strength of the applied magnetic field varies between the first and second critical fields, in such a way that…

Analysis of PDEs · Mathematics 2010-10-12 Ayman Kachmar

The upper critical fields ($H_{c2}$) of the single crystals $\rm(Sr,Na)Fe_2As_2$ and $\rm Ba_{0.55}K_{0.45}Fe_2As_2$ were determined by means of measuring the electrical resistivity, $ \rho_{xx}(\mu_0H)$, using the facilities of pulsed…

Superconductivity · Physics 2011-01-18 L. Jiao , J. L. Zhang , F. F. Balakirev , G. F. Chen , J. L. Luo , N. L. Wang , H. Q. Yuan

We show that the scaling procedure, recently proposed for the evaluation of the temperature variation of the normalized upper critical field of type-II superconductors, may easily be modified in order to take into account a possible…

Superconductivity · Physics 2007-05-23 I. l. Landau , H. R. Ott