Study Of Structure And Localization Of Vortices In High-temperature Superconductors

In the present paper we study stable lattice configuration for a vortex in HTSC usingrnthe Ginzburg-Landau(GL) theory for a superconductor with d-wave paring. We calculaternthe minimum G-L free energy interms of evaluating the Abrikosov parameterrn( A) for the ratio of unit-cell dimensions(R). For R = 1 square lattice A = 1.08643rnand R =rnprn3 triangular lattice, A = 1.25881. That shows square lattice is relativelyrnstable, Which is in agrement with recent theoretical and experimental work by koganrnet al(1997),Maki(1991) by working on Ginzburg-Landau treatments,combined withrnFermi-surface anisotropy[24]. Also we have studied localization of vortices theoreticallyrnusing strong pining columnar defect[20]. During our work we calculate pinningrnpotential Ur(R) and critical current density jc and show the effect of temperaturernand thermal fluctuation. Finally using scaling theory we see the temperature dependencernof resistivity and have shown the vortex motion is prohibited around Bose-glassrntemperature

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