2016
DOI: 10.1007/s10909-016-1695-5
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Effect of Anti-dots on the Magnetic Susceptibility in a Superconducting Long Prism

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Cited by 17 publications
(6 citation statements)
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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%
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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%
“…Many have been the advances during the last years in the area of superconductivity, among these, there are the theoretical and experimental development of superconductors of one, two and three bands, including the novel fractional vortices, this added to systems that include inclusion of external currents, applications to small variations of magnetic fields (Squids), topological superconductors and exotic phases that present these types of systems, such as Hopfions, Skirmions and Kinks among others [1][2][3][4][5][6][7][8]. This vast interest has been developed given the special properties that these systems have in superconducting state, for example in the case of type I superconductors, the conduction of electrical currents without loss Ohmincas, shielding of external fields and anchoring of materials, through pinnings and anti-pinnings and for type II superconductors, coordinated movement of superconductive state losses (vortices), oscillations in heat capacity and magnetic susceptibility even performing studies of vortex / anti-vortice annihilation, generating power losses in the system.…”
Section: Introductionmentioning
confidence: 99%
“…Currently the superconducting state is a powerful tool for applications in different and varied areas, such as medicine, technology, biotechnology, control and processing of data, material development, and field measurements, by means of slight interactions of the magnetic field [1], [2], [3], [4], [5], [6], [7]. This is due in large part to the main properties exhibited by different materials in the superconducting phase, such as current movement without Ohmnic losses, shielding of external fields, periodic oscillations in their susceptibility, and heat capacity, and over the last few years, control and movement of information through the manipulation of vortex cascades.…”
Section: Introductionmentioning
confidence: 99%