Vortices in a superconducting two-band disk: Role of the Josephson and bi-quadratic coupling

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

doi:10.1016/j.physc.2021.1353818

Cited by 13 publications

(6 citation statements)

References 7 publications

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“…We will consider the interaction between bands via Josephson type coupling. Thus, the Gibbs energy density for the the superconducting order parameter complex pseudo-function ψ i = |ψ i |e iϕi (ϕ i its phase), and magnetic potential A is [25][26][27]:…”

Section: Theoretical Formalismmentioning

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: Theoretical Formalismmentioning

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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“…With the Neumann boundary condition, the stable edge states and the dynamic response of such states to an external applied current have been investigated in the timedependent Ginzburg-Landau formalism for the two-band mesoscopic superconductors [38]. Aguirre et al also discussed the effects of different interband interactions on the vortex states by solving the two-band Ginzburg-Landau equations with the Neumann boundary condition [39,40]. However, to explain the suppression of critical temperature with the decrease in film thickness, we need to conduct detailed microscopic analysis and derive the correct boundary terms based on the two-band Bogoliubov-de Gennes theory for the superconductor FeSe.…”

Section: Theoretical Schemementioning

confidence: 99%

Boundary Effect and Critical Temperature of Two-Band Superconducting FeSe Films

Che

Huang

2022

Crystals

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Based on two-band Bogoliubov–de Gennes theory, we study the boundary effect of an interface between a two-gap superconductor FeSe and insulator (or vacuum). New boundary terms are introduced into two-band Ginzburg–Landau formalism, which modifies the boundary conditions for the corresponding order parameters of superconductor. The theory allows for a mean-field calculation of the critical temperature suppression with the decrease in FeSe film thickness. Our numerical results are in good agreement with the experimental data observed in this material.

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“…We will consider the interaction between the three bands, in Josephson type coupling. Thus, the Gibbs energy density for the the superconducting order parameter complex pseudo-function ψ i = |ψ i |e iθi (θ i its phase), and magnetic potential A is [49][50][51]:…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…We express the temperature T in units of the critical temperature T c1 , length in units of the coherence length ξ 10 = / √ −2m 1 α 10 , the order parameters in units of ψ i0 = −α i0 /β i and the Ginzburg-Landau parameter κ = 1.0. We choose the zero-scalar potential gauge at all times and use the link variables method for to solve the 3B-TDGL equations [37,[49][50][51](and references therein). Finally, for convergence rule for time:…”

Section: Theoretical Formalismmentioning

confidence: 99%

Chiriality in a three-band superconducting prism in ZFC and FC processes

Aguirre¹,

Faundez²,

Magalhães³

et al. 2021

Preprint

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In the present work, we will study the superconducting properties of a mesoscopic threedimensional prism with square transversal section under an external magnetic field in both Zero-Field Cooling (ZFC) and Field-Cooling (FC) process. The studied sample is a three-band system (with three condensates ψ1, ψ2, ψ3), in which we take a Josephson type inter-band coupling simulated via γ parameter. We analyze the magnetization, superconducting electronic density and free Gibbs energy considering both processes. As results, we found an interesting tunneling of vortex and antivortex between the bands, and vortex cluster configuration in the sample. This behaviour is due to the non-monotonic interaction between the bands.

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Vortices in a superconducting two-band disk: Role of the Josephson and bi-quadratic coupling

Cited by 13 publications

References 7 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.

Boundary Effect and Critical Temperature of Two-Band Superconducting FeSe Films

Chiriality in a three-band superconducting prism in ZFC and FC processes

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