scholarly journals Exact analytic Gorkov-Ginzburg-Landau theory of type-II superconductivity in the magnetoquantum oscillations limit

2012 ◽  
Vol 85 (10) ◽  
Author(s):  
V. Zhuravlev ◽  
T. Maniv
Keyword(s):  
Landau Theory ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductivity

scholarly journals The Path to Type-II Superconductivity

Metals ◽  
2019 ◽  
Vol 9 (6) ◽  
pp. 682 ◽  
Author(s):  
Rudolf P. Huebener
Keyword(s):  
Landau Theory ◽  
Close Contact ◽  
Abrikosov Vortex ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Max Von Laue ◽  
Type Ii Superconductivity ◽  
Magnetic Penetration ◽  
Heike Kamerlingh Onnes ◽  
First Time

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.

SPINNING VORTICES IN TYPE II SUPERCONDUCTORS

1990 ◽  
Vol 05 (12) ◽  
pp. 955-963 ◽  
Author(s):  
R. L. DAVIS
Keyword(s):  
Landau Theory ◽  
Gauge Fields ◽  
Type Ii ◽  
Duality Transformation ◽  
Ginzburg Landau ◽  
Flux Tubes ◽  
Type Ii Superconductors ◽  
Type Ii Superconductivity ◽  
The Relationship ◽  
Field Theoretical Model

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.

MAGNETIC FIELD DEPENDENCE OF ENTROPY AND SPECIFIC HEAT OF YBa2Cu3O7-δ SUPERCONDUCTORS

2012 ◽  
Vol 26 (02) ◽  
pp. 1250051 ◽  
Author(s):  
B. KALTA ◽  
P. NAYAK ◽  
K. K. NANDA
Keyword(s):  
Magnetic Field ◽  
Specific Heat ◽  
Magnetic Field Dependence ◽  
Landau Theory ◽  
Thermodynamic Quantities ◽  
Type Ii ◽  
Large Reduction ◽  
Superconducting Transition ◽  
Ginzburg Landau ◽  
Type Ii Superconductors

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.

scholarly journals Surface superconductivity in presence of corners

2017 ◽  
Vol 29 (02) ◽  
pp. 1750005 ◽  
Author(s):  
Michele Correggi ◽  
Emanuela L. Giacomelli
Keyword(s):  
Cross Section ◽  
Applied Field ◽  
Landau Theory ◽  
Type Ii ◽  
Leading Order ◽  
Critical Fields ◽  
Ginzburg Landau ◽  
Surface Superconductivity ◽  
Superconducting Wire ◽  
Extreme Type

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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