Some effects of dimensionality and defects on superconductivity
superconductor;superconducting;dimensionality;defect;nanowire;Langer–Ambegaokar–McCumber–Halperin (LAMH);resistance;planar defects;Sr2RuO4;vortex pinning;critical current
This thesis reports some theoretical studies of superconductivity with reduced dimensions. After an intro- duction to the physics of superconductivity with reduced dimensions, we reports our studies in three main topics in this thesis. In Chapter 2, the resistance of superconducting thin wires with finite length is derived in regimes where the LAMH theory fails.In Chapter 3, we consider the effect of planar defects on the superconductivity of Sr2RuO4 thin films. We find that while parallel planar defects does not decrease the the transition temperature of superconductivity, defects that are perpendicular with each other are able to suppress the superconductivity.In Chapter 4, we study the interaction between vortices and interface between two perpendicular anisotropic superconductors. The interface is found to be able to trap vortices and the trapping potential is calculated. This mechanism can be utilized to produce wires with larger critical current density.
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Some effects of dimensionality and defects on superconductivity