Study of structure and localization of Vortices in high-temperature Superconductors
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Date
2007-07
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Addis Ababa University
Abstract
In the present paper we study stable lattice configuration for a vortex in HTSC using
the Ginzburg-Landau(GL) theory for a superconductor with d-wave paring. We calculate
the minimum G-L free energy interms of evaluating the Abrikosov parameter
( A) for the ratio of unit-cell dimensions(R). For R = 1 square lattice A = 1.08643
and R =
p
3 triangular lattice, A = 1.25881. That shows square lattice is relatively
stable, Which is in agrement with recent theoretical and experimental work by kogan
et al(1997),Maki(1991) by working on Ginzburg-Landau treatments,combined with
Fermi-surface anisotropy[24]. Also we have studied localization of vortices theoretically
using strong pining columnar defect[20]. During our work we calculate pinning
potential Ur(R) and critical current density jc and show the effect of temperature
and thermal fluctuation. Finally using scaling theory we see the temperature dependence
of resistivity and have shown the vortex motion is prohibited around Bose-glass
temperature
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Keywords
superconductor with d-wave paring