scholarly journals Time-dependent Ginzburg-Landau theory with floating nucleation kernel: Far-infrared conductivity in the Abrikosov vortex lattice state of a type-II superconductor

2009 ◽  
Vol 80 (21) ◽  
Author(s):  
Pei-Jen Lin ◽  
P. Lipavský
Keyword(s):  
Vortex Lattice ◽  
Landau Theory ◽  
Far Infrared ◽  
Time Dependent ◽  
Abrikosov Vortex ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductor ◽  
Lattice State ◽  
Abrikosov Vortex Lattice

scholarly journals Pengaruh Variasi Dimensi Superkonduktor Berbentuk Persegi Panjang Terhadap Medan Kritis Pada Pada κ = 1,5

2020 ◽  
Vol 5 ◽  
Author(s):  
Alqaan Maqbullah Ilmi ◽  
Cari Cari ◽  
Fuad Anwar
Keyword(s):  
Equilibrium State ◽  
Critical Field ◽  
Time Dependent ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Rectangular Shape ◽  
Type Ii Superconductor ◽  
Tdgl Equation

<p class="AbstractEnglish"><strong>Abstract:</strong> The Time Dependent Ginzburg-Landau (TDGL) equation can be used to study the characteristics of a superconductor in the evolution of time until it reaches an equilibrium state. This study uses the ѰU method to calculate the critical field value numerically which has been tested stable and consistent. Previous research has been carried out regarding the critical field ratio of rectangular and rectangular superconductors with the same area at κ = 1.5. This research examines the variation of the dimensions of the type II superconductor with a rectangular shape, then it is found that the critical field of the Hc<sub>3</sub> surface forms a pattern that can be used to study the characteristics of the type II superconductor.</p><p class="AbstrakIndonesia"><strong>Abstrak: </strong>Persamaan Ginzburg-Landau Gayut Waktu (Time Dependent Ginzburg-Landau/TDGL) dapat digunakan untuk mempelajari karakteristik superkonduktor dalam evolusi waktu sampai mencapai keadaan setimbang. Penelitian ini menggunakan metode ѰU untuk menghitung nilai medan kritis secara numerik yang telah teruji stabil dan konsisten. Telah dilakukan penelitian sebelumnya mengenai perbandingan medan kritis superkonduktor berbentuk persegi dan persegi panjang dengan luas sama pada κ = 1,5. Dalam penelitian ini dikaji variasi dimensi superkonduktor tipe II dengan bentuk persegi panjang, kemudian didapatkan bahwa medan kritis permukaan Hc<sub>3</sub> membentuk pola yang dapat digunakan untuk mempelajari karakteristik superkonduktor tipe II.</p>

scholarly journals Comparison of the superconducting rectangular critical fields with the same area at κ = 1.5

2019 ◽  
Vol 3 (2) ◽  
pp. 62
Author(s):  
Fuad Anwar ◽  
C Cari ◽  
Alqaan Maqbullah Ilmi
Keyword(s):  
Critical Field ◽  
Proximity Effects ◽  
Time Dependent ◽  
Type Ii ◽  
Critical Fields ◽  
Ginzburg Landau ◽  
Type Ii Superconductor ◽  
Tdgl Equation

<span>The Time Dependent Ginzburg-Landau (TDGL) equation can be used to study the characteristics of superconductors in the evolution of time to reach equilibrium. This study uses the <em>ѰU</em> method to numerically calculate critical field values more easily. Previous research has been carried out on size variations, kappa variations, proximity effects and so on. In this study, a comparison between squares and rectangles with the same size of area for type II superconductor , then it is found that the critical field Hc<sub>3</sub> is the same value for each of the same area.</span>

AC FLUCTUATION CONDUCTIVITY IN TYPE-II SUPERCONDUCTORS

2012 ◽  
Vol 26 (22) ◽  
pp. 1250143
Author(s):  
BUI DUC TINH ◽  
LE MINH THU
Keyword(s):  
Magnetic Field ◽  
Gaussian Approximation ◽  
Thermal Fluctuations ◽  
Vortex Pinning ◽  
Abrikosov Vortex ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Fluctuation Conductivity ◽  
Type Ii Superconductor ◽  
The Magnetic Field

We use the time-dependent Ginzburg–Landau to calculate AC fluctuation conductivity in type-II superconductor in 2D model under magnetic field. Thermal fluctuations are assumed to be strong enough to melt the Abrikosov vortex lattice created by the magnetic field into a vibrating vortex liquid and marginalize the effects of the vortex pinning by inhomogeneities. The nonlinear interaction term in dynamics is treated within self-consistent Gaussian approximation. We obtain expressions the complex conductivity and resistivity summing all Landau levels which are applicable essentially to whole liquid phase and are compared to experimental data on high-Tc superconductor Bi 2 Sr 2 CaCu 2 O 8+δ.

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.

scholarly journals Large enhancement of conductivity in a strongly layered type-II superconductor with an artificial pinning array

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
Bui Duc Tinh
Keyword(s):  
Landau Equation ◽  
Thermal Fluctuations ◽  
Energy Scale ◽  
Time Dependent ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Fluctuation Conductivity ◽  
Ginzburg Landau Equation ◽  
Type Ii Superconductor ◽  
Large Enhancement

Abstract We use the time-dependent Ginzburg–Landau equation to describe a type-II superconductor in a magnetic field in the presence of both strong thermal fluctuations and an artificial pinning array. Thermal fluctuations are represented by the Langevin white noise. The layered structure of the superconductor is taken into accounted with the Lawrence–Doniach model. The self-consistent Gaussian approximation is used to treat the nonlinear interaction term in the time-dependent Ginzburg–Landau equation. In the case of the $\delta $-function model for the pinning centers and the matching field, analytic expressions for the fluctuation electrical and thermoelectric conductivity are obtained. It is found that the fluctuations in electrical and thermoelectric conductivities increase with increasing pinning strength, and when the pinning strength comes near a critical value, the fluctuation conductivity is greatly enhanced. Our result shows that if a pinning array is added to a mixed state superconductor, the original properties of the superconductor are recovered. Physically, in the presence of thermal fluctuations, when the energy scale of the vortex lattice shear fluctuations becomes comparable to the pinning energy scale there is a large enhancement of the fluctuation conductivity in the presence of pinning.

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