ZFC process in 2+1 and 3+1 multi-band superconductor

Phase shifter based on an ultrathin superconducting bilayer with a through-hole for a superconducting device

“…Finally, the plausibility of the formation of a fractional quantum in view of the previous theories are discussed. Several theories exist to predict a fractional flux quantum and a fractional vortex in the bilayer and multicomponent superconductors with a finite quadratic Josephson interaction between two components [7,[30][31][32][33][34][35][36][37][38][39][40][41][42]. Although these theories have not been experimentally confirmed (in other words, the situations discussed in these theories…”

Vortex state in a superconducting mesoscopic irregular octagon

“…( 5) does not exist, leaving only a superconducting condensate ψ 1 . For the computational mesh we use ∆x = ∆y = 0.1 [13,15,16,32]. In the field cooling processes simulations for we take T = 0.1.…”

“…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.…”

“…The second method, based on extensions of the Bardeen-Cooper-Schrieffer (BCS) theory, has the ability to study superconductivity on a mesoscopic scale, giving excellent results compared to experimental ones [24,25], but it neglects the geometry of the sample itself, besides that its solution is based mainly on the diagonalization of the Bogoliubov de Gennes Hamiltonian, a main problem is that it presents long computation times [26]. Now, the third form of study is based on the extension of the second order transition theory, proposed by L. Landau to superconducting systems, accounting for a parameter of order ψ or pseudo-wave function that describes the superconducting state in the mesoscopic regime (d ≈ ξ(0)) [27,28]. The latter is widely used † cristian@fisica.ufmt.br for the study of the dynamics of vortices in different geometries, which are mainly regular domains (circles, squares/rectangles or triangles) [29][30][31], due to the high convergence times and the difficulty of applying boundary conditions in domains with geometries different from those mentioned above, little or no other types of geometries are discussed.…”

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].…”