Thermo-Magnetic Signature of a Superconducting Multi-band Square with Rough Surface

Abstract

In the present work, we will study the effect that the surface roughness of the sample has on the magnetic and thermodynamic properties in a mesoscopic superconducting meso-square under an external magnetic field in a zero-field cooling process.We will analyze the magnetization, superconducting electronic density, free Gibbs energy, specific heat and entropy as a function of the roughness of the sample in a superconducting two-band square taking a Josephson type inter-band coupling. We show that the magnetic and thermodynamic properties depend on the roughness percentage of its surface. Our investigation was carried out by numerically solving the two-band time-dependent Ginzburg-Landau equations.

Vortex matter in a two-band SQUID-shaped superconducting film

“…We will consider the interaction between the two bands (or condensates ψ 1 , ψ 2 ) in a 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) [26][27][28][29][30], and magnetic potential A, where B = ∇ × A, is:…”

“…The boundary conditions n•(i∇+A)ψ i = 0, i = 1, 2 with n a surface normal outer vector. Also, we defined m r2 = m 2 /m 1 = 0.5, [26,27]. We choose the zero-scalar potential gauge at all times and use the link variables method for to solve the Ginzburg-Landau equations [32][33][34][35][36] (and references therein).…”

Vortex state in a superconducting mesoscopic irregular octagon

“…This field has developed since its discovery in 1908 by H. Onnes, G. Holts and J. Flint [6], encompassing different branches that they contemplate, mesoscopic superconductivity [7,8], topological [9][10][11], multi-band [12,13], frustrated superconductivity [14] and its applications in electronic devices reaffirm its importance in the advancement of new technologies based on vortex control [15,16], Magnons [17] or Hopfios [18], not without first mentioning the discovery of superconductivity in ferromagnetic systems [19]. In general, until now, there are three specific theoretical models for to study the superconducting state.…”

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

“…With this, there are essentially several approaches for the study of the superconducting phase (superconducting gap), which are grouped in microscopic terms, based on the Bardeen-Cooper-Schieffer (BCS) theory and re-spective expansions as Migdal-Eliasberg or Bogoliubov-DeGenns [27,28], Ab-initio studies based on its atomic (or molecular) structure and band structure [29] and finally through the phenomenological study, mediated by the time dependent Ginzburg-Landau (TDGL) theory command parameter [30]. Recent discoveries in new unconventional superconducting materials have generated a renewed interest in new interesting topological phases [31], such as multi-band effects (multi-condensed) [32,33], mesoscopic superconductivity [34,35], fractional vorticity [36], kinematic vortices [37] and vortex clusters due to repulsive short-range and attractive long-range interaction [38,39]. Thus, the study of multi-band systems has become essential to capture the essential physics in certain materials of interest such as M gB 2 [40,41], which presents multiple gaps in the superconducting excitation spectrum [42][43][44], also in Sr 2 RuO 4 which in its pure state is one of the best candidates to constitute three-band superconducting order parameters [45][46][47].…”