Theory of High Temperature Superductivity

by Mishonov, Todor M.; Penev, Evgeni S.

• ISBN13: 9789814343145
• ISBN10: 9814343145
• Format: Hardcover
• Copyright: 2011-03-30
• Publisher: World Scientific Pub Co Inc

Summary

Drawing from the broad spectrum of phenomena, described in more than 100,000 articles on high-Tc superconductivity, in this book, the authors analyze those basic properties for which understanding can be achieved within the framework of traditional methods of theoretical physics.This is the case of the overdoped cuprates for which the "Bardeen program" has been realized: We know their electronic spectrum, we can calculate their basic thermodynamic and electrodynamic properties, and predict new phenomena. The book gives a pedagogical derivation of formulas describing the electron band structure, penetration depth, specific heat, fluctuation conductivity, etc. Prediction of plasmons and their application for a new type of THz generators is considered as well.The book advocates that the strongest exchange interaction in condensed matter physics - the intraatomic s-d exchange - is the long sought pairing mechanism in overdoped cuprate superconductors.

Table of Contents

Preface	p. vii
Tight-binding modeling of layered perovskites	p. 1
Introduction	p. 1
Apology to the band theory	p. 2
Layered cuprates	p. 4
Effective Cu Hamiltonian	p. 7
Conduction bands of the RuO2 plane	p. 10
Discussion	p. 13
Determining the density of states of thin high-Tc films by field-effect-transistor type microstructures	p. 14
The pairing mechanism of overdoped cuprates	p. 19
Introduction	p. 19
Lattice Hamiltonian	p. 21
The four-band model in a nutshell	p. 21
The Heitler-London and Schubin-Wonsowsky-Zener interactions	p. 24
Reduced Hamiltonian and the BCS gap equation	p. 28
Separable s-d model	p. 29
Antiferromagnetic character of Jsd	p. 34
Intra-atomic correlations	p. 36
Indirect s-d exchange	p. 37
Effect of mixing wave functions	p. 38
Cooper and Kondo singlet formation	p. 39
Dogmatics and more	p. 39
Aesthetics and frustrations of the central dogmas	p. 40
Discussion	p. 44
The reason for the success of the CuO2 plane	p. 48
Tc-¿s correlations: a crucial test for the pairing mechanism in cuprates	p. 49
Perspectives: if ôTomorrowö comes	p. 52
Specific heat and penetration depth	p. 55
Specific heat	p. 55
Order parameter equation for anisotropic-gap superconductors	p. 66
Eiectrodynamic behavior	p. 75
The case for Sr2RuO4	p. 80
Discussion	p. 82
Plasmons and the Cooper pair mass	p. 85
Plasmons: prediction	p. 85
In search for the vortex charge and the Cooper pair mass	p. 87
Introduction	p. 87
Model	p. 88
Type-II superconductors	p. 88
Experimental set-up for measuring the vortex charge	p. 93
How to measure the Cooper pair mass	p. 95
Discussion	p. 104
Thermodynamics of Gaussian fluctuations and paraconductivity	p. 107
Introduction	p. 107
Weak magnetic fields	p. 109
Formalism	p. 109
Euler-MacLaurin summation for the free energy	p. 114
Layering operator L illustrated on the example of paraconductivity	p. 117
Power series for the magnetic moment within the LD model	p. 124
The epsilon algorithm	p. 125
Power series for differential susceptibility	p. 128
Strong magnetic fields	p. 130
General formula for the free energy	p. 130
Fluctuation part of thermodynamic variables	p. 133
Self-consistent approximation for the LD model	p. 139
3D test example	p. 141
Some remarks on the fitting of the GL parameters	p. 143
Determination of the cutoff energy ¿	p. 143
Determination of the coherence length ¿ab(0)	p. 146
Determination of the Cooper pair life-time constant ¿0	p. 148
Determination of the Ginzburg number and penetration depth ¿ab(0)	p. 149
Discussion	p. 150
Kinetics of fluctuation Cooper pairs	p. 155
Introduction	p. 155
From TDGL equation via Boltzmann equation to Newton equation	p. 156
Fluctuation conductivity in different physical condition	p. 159
High frequency conductivity	p. 159
Hall effect	p. 160
Magnetoconductivity	p. 161
Strong electric fields	p. 162
Current functional: self-consistent approximation and energy cut-off	p. 163
Fluctuation conductivity in nanowires	p. 165
Discussion	p. 168
Fluctuation conductivity in strong electric fields	p. 169
Introduction	p. 169
Solution to the Boltzmann equation	p. 171
Boltzmann equation and formula for the current	p. 173
Dimensionless variables	p. 176
Paraconductivity in a layered metal	p. 178
Aslamazov-Larkin conductivity for D-dimensional superconductors	p. 181
Strong electric field expansion	p. 183
Weak electric fields below Tc	p. 184
Striped superconductors and thick films	p. 186
Determination of the lifetime constant ¿0	p. 188
Conductivity correction by detection of 3rd harmonics	p. 190
Discussion	p. 192
Linear-T electrical resistivity and normal phase properties	p. 197
Introduction	p. 197
Qualitative picture	p. 198
Quantitative estimate	p. 201
Discussion	p. 202
Outlook: relation between the normal state transport properties and the pairing mechanism	p. 205
Terahertz electric oscillations in supercooled superconductors	p. 209
Introduction	p. 209
Physical model	p. 210
Qualitative consideration and analogies	p. 210
Formulas for the differential conductivity	p. 212
Description of the oscillations	p. 215
Performance of the generator	p. 217
Possible applications	p. 219
Initial experimental success in the THz range	p. 221
Acknowledgments, retrospect	p. 223
Bibliography	p. 225
Index	p. 257
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