scholarly journals The Path to Type-II Superconductivity

Metals ◽  
2019 ◽  
Vol 9 (6) ◽  
pp. 682 ◽  
Author(s):  
Rudolf P. Huebener

Following the discovery of superconductivity by Heike Kamerlingh Onnes in 1911, research concentrated on the electric conductivity of the materials investigated. Then, it was Max von Laue who in the early 1930s turned his attention to the magnetic properties of superconductors, such as their demagnetizing effects in a weak magnetic field. As a consultant at the Physikalisch-Technische Reichsanstalt in Berlin, von Laue was in close contact with Walther Meissner at the Reichsanstalt. In 1933, Meisner together with Robert Ochsenfeld discovered the perfect diamagnetism of superconductors (Meissner–Ochsenfeld effect). This was a turning point, indicating that superconductivity represents a thermodynamic equilibrium state and leading to the London theory and the Ginzburg–Landau theory. In the early 1950s in Moscow, Nikolay Zavaritzkii carried out experiments on superconducting thin films. In the theoretical analysis of his experiments, he collaborated with Alexei A. Abrikosov and for the first time they considered the possibility that the coherence length ξ can be smaller than the magnetic penetration depth λ m . They called these materials the “second group”. Subsequently, Abrikosov discovered the famous Abrikosov vortex lattice and the superconducting mixed state. The important new field of type-II superconductivity was born.

1990 ◽  
Vol 05 (12) ◽  
pp. 955-963 ◽  
Author(s):  
R. L. DAVIS

A field-theoretical model displaying macroscopic type II superconductivity involves electromagnetic and antisymmetric tensor gauge fields interacting in a special background. Vortex lines are represented by Kalb-Ramond strings, and the force law for a vortex in a supercurrent follows naturally. It is shown by a duality transformation that this theory is equivalent to the low-energy sector of a spontaneously broken abelian Higgs model, but the existence of a charged background changes the nature of the symmetry breaking. As a result, it is not Neilsen-Olesen solutions but rather the spinning vortices which describe the macroscopic properties of flux tubes in a superconductor. The relationship with Ginzburg-Landau theory is briefly discussed.


1982 ◽  
Vol 60 (3) ◽  
pp. 299-303 ◽  
Author(s):  
A. E. Jacobs

A method which preserves the flux-quantization condition in all orders of perturbation theory is applied to the Ginzburg–Landau theory of type-II superconductors near the upper critical field. Expansions are obtained for the order parameter, the magnetic field, and the free energy; previous results are verified and extended to one higher order in Hc2 – Ha.


2012 ◽  
Vol 26 (02) ◽  
pp. 1250051 ◽  
Author(s):  
B. KALTA ◽  
P. NAYAK ◽  
K. K. NANDA

The change in thermodynamic quantities (e.g., entropy, specific heat etc.) by the application of magnetic field in the case of the high-Tc superconductor YBCO system is examined phenomenological by the Ginzburg–Landau theory of anisotropic type-II superconductors. An expression for the change in the entropy (ΔS) and change in specific heat (ΔC) in a magnetic field for any general orientation of an applied magnetic field Ba with respect to the crystallographic c-axis is obtained. The observed large reduction of specific heat anomaly just below the superconducting transition and the observed variation of entropy with magnetic field are explained quantitatively.


1988 ◽  
Vol 02 (06) ◽  
pp. 1513-1536 ◽  
Author(s):  
M. P. DAS ◽  
HONG-XING HE ◽  
T. C. CHOY

In the absence of a consensus for the correct microscopic theory for high temperature superconductivity we have devoted earlier efforts to obtain a generalised Ginzburg-Landau (GL) phenomenological model. Originally the main motivation was to examine how GL theory could be generalised. Neglecting secondary order parameters like structural distortions, oxygen vacancies etc. whose effects are integrated out and phenomenologically treated in the GL coupling parameters, we concentrate on the superconducting order parameters. The resulting theory which emerged indicates severe constraints in the parameter space of models due to local gauge invariance. Now recent experiments by several groups on specific heat and conductivity fluctuations lend strong support to this theory. Additional predictions on gap parameters and tunnelling properties are exotic and could be verified. The magnetic and Abrikosov vortex states appear to be complicated and require further study.


2017 ◽  
Vol 29 (02) ◽  
pp. 1750005 ◽  
Author(s):  
Michele Correggi ◽  
Emanuela L. Giacomelli

We consider an extreme type-II superconducting wire with non-smooth cross section, i.e. with one or more corners at the boundary, in the framework of the Ginzburg–Landau theory. We prove the existence of an interval of values of the applied field, where superconductivity is spread uniformly along the boundary of the sample. More precisely, the energy is not affected to leading order by the presence of corners and the modulus of the Ginzburg–Landau minimizer is approximately constant along the transversal direction. The critical fields delimiting this surface superconductivity regime coincide with the ones in absence of boundary singularities.


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