Theory of Fluctuations in Superconductors

Name: Theory of Fluctuations in Superconductors
Brand: Oxford University Press
Price: 72.89 EUR
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VARLAMOV ANATOLY LA(Autor*in)

Oxford University Press

1. Auflage

Erschienen am 4. Juni 2009

431 Seiten

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Inhalt

Intro
Contents
I: PHENOMENOLOGY OF FLUCTUATIONS: GINZBURG-LANDAU FORMALISM
1 Introduction
2 Fluctuation thermodynamics
2.1 Ginzburg-Landau theory
2.2 Fluctuation contribution to heat capacity
2.3 Fluctuation diamagnetism
2.4 Layered superconductor in magnetic field
2.5 Ginzburg-Levanyuk criterion
2.6 Scaling and the renormalization group
2.7 Effect of fluctuations on superfluid density and critical temperature
2.8 Fluctuations of magnetic field
3 Fluctuation transport
3.1 Time-dependent GL equation
3.2 General expression for paraconductivity
3.3 Paraconductivity of a layered superconductor
3.4 Hall paraconductivity
3.5 Magnetic field angular dependence of paraconductivity
3.6 Paraconductivity of nanotubes
3.7 Transport equation for fluctuation Cooper pairs
4 Fluctuations in vortex structures
4.1 Vortex lattice and magnetic flux resistivity
4.2 Collective pinning
4.3 Creep
4.4 Melting of the vortex lattice
II: BASIC NOTIONS OF THE MICROSCOPIC THEORY
5 Microscopic derivation of the TDGL equation
5.1 Preliminaries
5.2 The Cooper channel of electron-electron interaction: the fluctuation propagator
5.3 Diagrammatic representation of fluctuation corrections
5.4 Superconductor with impurities
5.5 Layered superconductor
6 Microscopic derivation of the GL functional
6.1 GL functional of a conventional superconductor
6.2 GL functional in the case of a nontrivial order parameter symmetry
7 Microscopic theory of fluctuation conductivity
7.1 Qualitative discussion of the different fluctuation contributions
7.2 The electromagnetic response operator
7.3 Fluctuation conductivity of a layered superconductor in the vicinity of T[sub(c)]
7.4 Fluctuation conductivity in a.c. field
7.5 Fluctuation conductivity in ultra-clean superconductors
7.6 Fluctuation conductivity far from T[sub(c)]
7.7 Nonlinear fluctuation effects
III: MANIFESTATION OF FLUCTUATIONS IN OBSERVABLES
8 Fluctuations in magnetic field
8.1 Magnetoconductivity in the vicinity of transition
8.2 Magnetoconductivity far from transition
8.3 Effect of fluctuations on the Hall conductivity
8.4 Fluctuation magnetic susceptibility far from transition
8.5 Fluctuations in magnetic fields above H[sub(c2)](0)
9 DOS and tunneling
9.1 Density of states of superconductor in fluctuation regime
9.2 Fluctuation phenomena in tunnel junction above T[sub(c)]
9.3 Fluctuation phenomena in N(S)-I-S junction
9.4 Fluctuation tunneling anomaly in a superconductor above the paramagnetic limit
9.5 The magnetoresistance of a granular superconducting metal
10 Effect of fluctuations on thermoelectricity and heat transport
10.1 Equations of heat and electric transfer
10.2 Phenomenological definition of the heat current
10.3 Heat current operator for interacting electrons
10.4 Fluctuation thermoelectric power above the superconducting transition
10.5 Thermal conductivity
10.6 Manifestation of superconducting fluctuations in the Nernst effect
11 Spin susceptibility and NMR
11.1 Preliminaries
11.2 Spin susceptibility
11.3 Relaxation rate
11.4 Discussion
IV: FLUCTUATIONS IN NANOSTRUCTURES AND UNCONVENTIONAL SUPERCONDUCTING SYSTEMS
12 Fluctuations in nanograins, nanodrops and granular superconductors
12.1 Ultrasmall superconducting grains
12.2 Superconducting drops in system with quenched disorder
12.3 Exponential DOS tail in superconductor with quenched disorder
12.4 Josephson coupled superconducting grains and drops
12.5 Classical phase transition in granular superconductors
12.6 Quantum phase transition in granular superconductors
13 Fluctuations in Josephson junctions
13.1 General properties of a Josephson junction
13.2 Fluctuation broadening of the emission line
13.3 Fluctuation suppression of the Josephson current below T[sub(c)]
13.4 Josephson current decay due to the thermal phase fluctuations
13.5 Macroscopic quantum tunneling
14 Phase slip events
14.1 Classical phase-slip events
14.2 Quantum phase slip events in nanorings
15 Phase fluctuations in a 2D superconducting system
15.1 The crucial role of phase fluctuations in 2D systems
15.2 Exponential tail in the Josephson current close to T[sub(c)]
15.3 Berezinskii-Kosterlitz-Thouless transition
15.4 Manifestation of vortex fluctuations above BKT transition
16 Fluctuations near superconductor-insulator transition
16.1 Quantum phase transition
16.2 3D case
16.3 2D superconductors
17 Role of fluctuations in high temperature superconductivity
17.1 Phase diagram
17.2 Resonating valence bond theory
17.3 Bose-metal
17.4 BCS scenarios
17.5 Phenomenology
A: Relations between parameters of micro- and macroscopic theories
A.1 Coherence length
A.2 Other GL functional parameters
B: Properties of the Euler gamma function and its logarithmic derivatives
B.1 Euler gamma function
B.2 Digamma function and its derivatives
C: Integrals of the Lawrence-Doniach theory
References
Glossary
A
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Index
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B
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D
E
F
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I
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M
N
O
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R
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