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J.E. Sonier's Ph.D. Thesis
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J.E. Sonier's Ph.D. Thesis
Contents
Contents
List of Tables
List of Figures
1 Introduction
2
The Characteristic Length Scales of Superconductivity
2.1 The Magnetic Penetration Depth
2.1.1 The London Penetration Depth
2.1.2 The BCS Penetration Depth
2.1.3 Penetration Depth for a
d
x
2
-
y
2
-Wave Superconductor
2.2 The Superconducting Coherence Length
2.3 The Magnetic Field Dependence of the Penetration Depth at Low
T
2.3.1 Nonlinear Effects in an
s
-Wave Superconductor
2.3.2 Nonlinear Effects in a
d
x
2
-
y
2
-Wave Superconductor
2.3.3 Nonlinear and Nonlocal Effects in the Vortex State
2.4 The GL Penetration Depth and Coherence Length
2.5 Measuring the Characteristic Length Scales
3
The
µSR
Technique
3.1
µSR
vs. NMR
3.2 Measuring the Internal Field Distribution with
µSR
3.2.1 The Raw Asymmetry for a Pair of Counters
3.2.2 The Corrected Asymmetry
3.2.3 The Relaxation Function
3.2.4 Four-Counter Geometry and the Complex Polarization
3.2.5 The Fourier Transform
3.3 The Rotating Reference Frame
4
Modelling the Internal Field Distribution
4.1 The Field Distribution of the Vortex Lattice
4.2 Pinning, Thermal Fluctuations, Dimensional Crossover and Melting
4.3 Gaussian Field Distribution Analysis
4.4 Field Distribution of the Vortex Lattice
4.4.1 Vortex Lattice in a
s
-Wave Superconductor
4.4.2 Vortex Lattice in a
d
-Wave Superconductor
5 Experimental Details
5.1 The Apparatus
5.2 The Samples
5.3 General Comments on the Fitting Procedure
6 Experiment: NbSe
2
7 Experiment: YBa
2
Cu
3
O
6.95
8 Experiment: YBa
2
Cu
3
O
6.60
9 Conclusions
References
