Inhomogeneous Superconductors

Name: Inhomogeneous Superconductors | Granular and Quantum Effects
Brand: Oxford University Press
Price: 181.99 EUR
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Granular and Quantum Effects

Eugen S?imanek(Autor*in)

Oxford University Press

Erschienen im Dezember 1994

394 Seiten

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978-0-19-536013-4 (ISBN)

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Inhalt

Intro
Contents
1. Introduction
2. Dynamics and Fluctuations of the Order Parameter
2.1. Fluctuations in classical Ginzburg-Landau model
2.2. Time-dependent Ginzburg-Landau model
2.3. Dynamics of phase and density
2.4. Phase-number commutator
2.5. Quantum phase fluctuations in an isolated particle
2.6. Josephson-coupled superconductors
2.7. Charging energy in a Josephson junction
2.8. Absence of symmetry breaking in 1D superconductors
2.9. Quantum critical phenomena
3. Regular Arrays without Dissipation
3.1. Experimental background
3.2. Superconductivity in isolated grains
3.3. 3D arrays without Coulomb interaction
3.4. Coulomb energy and capacitance matrix
3.5. 3D Josephson arrays with self-charging energy
3.6. S=1 pseudospin model
3.7. Models with off-diagonal Coulomb interactions
3.8. Path-integral formulation of the MFA
3.9. Self-consistent harmonic approximation
4. Quantum Effects and Ohmic Dissipation
4.1. General remarks
4.2. Resistively shunted junction model
4.3. Microscopic model for ohmic dissipation
4.4. Particle coupled to an oscillator-Effective action
4.5. Effective action for ohmic dissipation
4.6. Fluctuations in damped harmonic oscillators
4.7. Path-integral method for MQT rate
4.8. Dissipative quantum tunneling
5. Microscopic Theory of Superconducting Tunneling
5.1. Introduction
5.2. Partition, function for a neutral superfluid
5.3. Effective action for a small particle
5.4. Neutral Fermi superfluids coupled by tunneling
5.5. Josephson junction with charging energy
6. Phase Transitions in Dissipative Arrays
6.1. Introduction
6.2. Dissipative array with Coulomb interaction
6.3. Effective action for a dissipative self-charging model
6.4. Mean-field phase diagram
6.5. Dissipative self-charging model using the SCHA
6.6. Dissipative nearest-neighbor charging model
6.7. Models with tunneling-dominated junction capacitance
6.8. Mapping to a quantum Ginzburg-Landau functional
7. Two-dimensional superconductors
7.1. Introduction
7.2. Superconductivity in the absence of long-range order
7.3. Vortices in the two-dimensional xy model
7.4. Vortex-unbinding transition
7.5. Vortex-unbinding in charged superfluids
7.6. Effects of quantum fluctuations on T[sub(KT)]
8. Dynamics and Quantum Tunneling of Vortices
8.1. Introduction
8.2. Classical dynamics of vortices in 2D superfluids
8.3. Quantization of the vortex system-2D electron analogy
8.4. Berry's phase and forces on vortices
8.5. Dynamics of vortices in 2D superconductors
8.6. Massive vortices in the TDGL model
8.7. Massive vortices in granular superconductors
8.8. Quantum tunneling of vortices
A1. Partition Function for One-Body Motion
A2. Partition Function for N-body Systems and Fields
A2.1. N-Body systems
A2.2 Quantum fields
A3. Partition Function for a Particle on a Circle
A4. Free Particle on a Circle
A5. Particle on a Circle-High-Temperature Limit
A6. Perturbation Expansion for Thermal Averages
A7. Path Integral for the Correlation Function
A8. Correlation Function in the Classical Limit
A9. Derivation of Eq. (2.3)
A10. Path integral for the transition amplitude
A11. Extremal path (bounce) and fluctuations about it
A12. Bounce contribution to the transition amplitude
A12.1. Contribution of Goldstone mode ?[sub(1)]
A12.2. Contribution of unstable mode ?[sub(0)]
A13. Expression for bounce action
A14. Dissipative action for weak damping
A15. Bounce trajectory for strong damping
A16. Cumulant expansion theorem for Z[sub(G)][?]
A16.1. Proof of Eq. (A16.3)
A17. Green's function in the presence of V (t)
A17.1. Integral equation for G[sub(?)]
A17.2. Fredholm solution of Eq. (A17.13)
References
Index
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B
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D
E
F
G
H
I
J
K
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M
N
O
P
Q
R
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T
U
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