Time-dependent Ginzburg-Landau equations for rotating and accelerating superconductors

Lipavský, Pavel; Bok, J.; Koláček, Jan

doi:10.1016/j.physc.2013.06.007

Cited by 3 publications

(3 citation statements)

References 51 publications

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“…Previous study [16] shows that to apply standard TDGL theory to a dynamical system, it is optimal to choose a condensation kernel floating with the background. Here we omit the details and write down the set of equations known as the floating-kernel time-dependent Ginzburg-Landau (FK-TDGL) equations.…”

Section: Tdgl Theorymentioning

confidence: 99%

“…To study the electrons in an oscillating atomic lattice, it is advantageous to choose the moving background as the reference frame as Cooper pairs emerge from the moving electrons. Previous study [16] shows that to apply standard TDGL theory to a dynamical system, it is optimal to choose a condensation kernel floating with the background. Here we omit the details and write down the set of equations known as the floating-kernel time-dependent Ginzburg-Landau (FK-TDGL) equations.…”

Section: Tdgl Theorymentioning

confidence: 99%

“…According to the experimental studies by Fil et al [7], the changes of potential and material parameters caused by shear deformations can be disregarded. To accommodate this non-equilibrium system, we use a modified version of TDGL theory based on a microscopic derivation [16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transverse acousto-electric effect in superconductors

Lipavský

Koláček

Lin³

2016

Physica C: Superconductivity and its Applications

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We formulate a theory based on the time-dependent Ginzburg Landau (TDGL) theory and Newtonian vortex dynamics to study the transverse acousto-electric response of a type-II superconductor with Abrikosov vortex lattice. When exposed to a transverse acoustic wave, Cooper pairs emerge from the the moving atomic lattice and moving electrons. As in the Tolman-Stewart effect in a normal metal, an electromagnetic field is radiated from the superconductor. We adapt the equilibrium-based TDGL theory to this non-equilibrium system by using a floating condensation kernel. Due to the interaction between normal and superconducting components, the radiated electric field as a function of magnetic field attains a maximum value occurring below the upper critical magnetic field. This local increase in electric field has weak temperature dependence and is suppressed by the presence of impurities in the superconductor.

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Section: Tdgl Theorymentioning

confidence: 99%

Section: Tdgl Theorymentioning

confidence: 99%

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Transverse acousto-electric effect in superconductors

Lipavský

Koláček

Lin³

2016

Physica C: Superconductivity and its Applications

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Mass oscillations in superconducting junctions for gravitational wave emission and detection

Atanasov,

Saxena

2025

Annals of Physics

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Physical mechanism of London moment

Wu¹,

Xiao²

2022

Acta Phys. Sin.

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The superconductor will generate a magnetic field inside the superconductor during its rotation, which is called the London moment. At present, a variety of theories including London theory and G-L theory have explained the generation mechanism of London moment. Most of these theories essentially believe that the superconducting electrons in the surface layer of the rotating superconductor lag behind and have a net residual current. The London moment is produced by the net residual current on the surface of the rotating superconductor. However, the theoretical explanation for the reason for the hysteresis of the superconducting electrons in the outermost layer of the rotating superconductor is still unknown. This paper analyzes the charged particles in the rotating system and the Berry phase of the superconductor in the rotating superconductor. The results show that the Berry curvature of the superconductor has the same expression form as the London moment, indicating that the London moment may be the inverse effect of A-B effect, which is a macroscopic quantum effect based on Berry phase.

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Time-dependent Ginzburg-Landau equations for rotating and accelerating superconductors

Cited by 3 publications

References 51 publications

Transverse acousto-electric effect in superconductors

Transverse acousto-electric effect in superconductors

Mass oscillations in superconducting junctions for gravitational wave emission and detection

Physical mechanism of London moment

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