Superconducting 3D Multi-layer Sample Simulated Via Nonuniform Ginzburg–Landau Parameter

Aguirre, C. A.; Martins, Q. D.; Barba-Ortega, J.

doi:10.1007/s10909-020-02557-5

Cited by 3 publications

(2 citation statements)

References 33 publications

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“…These structures, involving the combination of different superconducting materials, have unveiled fascinating phenomena and unique properties at the interface between them, and their electronic behavior [1][2][3][4][5][6][7]. Thus, renewed interest has been generated in superconducting systems, especially during the year 2023, after the possibility of the existence of a superconductor at room temperature and pressure, denominated as LK.99, which has generated great controversy in the academic community [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Aguirre,

Faúndez,

Díaz

et al. 2024

Preprint

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In this work, we study the proximity effects in a single-and two-band superconducting three-dimensional heterostructure, described by two condensates (condensate 1 and condensate 2) under the presence of an external magnetic field perpendicular to the heterostructure. The distance between the interface of both condensate is given by the parameter λ ′. We solve the time-dependent Ginzburg-Landau equations considering a Josephson-like coupling to explore properties such as magnetization, Gibbs free energy and the Abrikosov vortex state. We considered three cases, in the case 1: both condensates are composed by a single-band, case 2: the condensates are composed by two-bands and case 3: the condensate 1 has a single-band and the condensate 2 has two-bands. As a results, we highlight the variation of the first critical field and the novel vortex configuration induced by the proximity effect between the superconducting condensates. This phenomenon exerts a substantial influence on the arrangement of vortex in each of the superconducting bands.

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Section: Introductionmentioning

confidence: 99%

Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Aguirre,

Faúndez,

Díaz

et al. 2024

Preprint

Self Cite

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“…It is well known that the Ginzburg-Landau equation (GLE) was introduced in the scientific literature in the middle of the 20th century as a developing theory of superconductivity [1,2]. To date, the GLE has been widely used in the physics fields of superconductivity and superfluidity [3][4][5][6][7][8][9][10][11]. The GLE is used also for describing a number of nonlinear phenomena [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31], such as biophysics systems, nonlinear phenomena in liquid crystals, spatio-temporal chaos, oscillations of different nature (see review papers [32][33][34], where associated references can be found).…”

Section: Introductionmentioning

confidence: 99%

Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation

et al. 2022

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In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants are absent in the literature. The knowledge of a problem’s invariants allows us develop finite-difference schemes possessing the conservativeness property, which is crucial for solving nonlinear problems. Laser pulse propagation is governed by the nonlinear Ginzburg–Landau equation. Firstly, the problem’s conservation laws are developed for the various parameters’ relations: for a linear case, for a nonlinear case without considering the linear absorption, and for a nonlinear case accounting for the linear absorption and homogeneous shift of the pulse’s phase. Hereafter, the Crank–Nicolson-type scheme is constructed for the problem difference approximation. To demonstrate the conservativeness of the constructed implicit finite-difference scheme in the sense of preserving difference analogs of the problem’s invariants, the corresponding theorems are formulated and proved. The problem of the finite-difference scheme’s nonlinearity is solved by means of an iterative process. Finally, several numerical examples are presented to support the theoretical results.

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Proximity Effects in Single- and Two-Band Superconducting Heterostructures: A Time-Dependent Ginzburg-Landau Approach

Aguirre,

Faúndez,

Díaz

et al. 2024

J Low Temp Phys

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Superconducting 3D Multi-layer Sample Simulated Via Nonuniform Ginzburg–Landau Parameter

Cited by 3 publications

References 33 publications

Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation

Proximity Effects in Single- and Two-Band Superconducting Heterostructures: A Time-Dependent Ginzburg-Landau Approach

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