The superconducting state in magnetic fields : special topics and new trends

This volume is an exciting collection of short review articles written by leading international experts on the superconducting state in magnetic fields, a rapidly developing area. The philosophy of the book is to emphasize the importance of having experimental and theoretical works side by side. Every effort has been made to match each experimental article with a corresponding theoretical article. The selection of materials includes special topics, new effects and new trends concerning superconductors in low and high magnetic fields. The special topics and new trends include quantum and classical melting of the vortex lattice, new vortex lattice symmetries, vortex core states, nonlinear Meissner effect, symmetry of the order parameter in high-temperature superconductors, and superconductors in high magnetic fields. The book is targeted at a broad audience, including graduate students, postdocs and other researchers active or interested in this field.

K. A. Moler and J. R. Kirtley and J. Mannhart and H. HilgenkampM. Sigrist and T. M. RiceJ. A. Fendrich and G. W. Crabtree and W. K. Kwok and U. Welp and B. VealS. Ryu and D. StroudM. H. Theunissen and B. Becker and P. H. KesG. Blatter and B. IvlevY. De Wilde and M. Iavarone and V. I. Metlushko and U. Welp and A. E. Koshelev and I. Aranson and G. W. Crabtree and P. C. CanfieldV. G. Kogan and P. Miranovic and D. Mc K. PaulJ. Orenstein and R. P. Mallozzi and B. ParksT. J. B. M. Janssen and M. SpringfordS. Dukan and Z. TesanovicCh. Renner and I. Maggio-Aprile and O. FischerK. Machida and M. Ichioka and N. Hayashi and T. IsoshimaI. J. Lee and M. J. NaughtonC. A. R. Sa de Melo

Chapter 1. Magnetic Flux in Interfaces in YBCO	p. 1
1. Introduction	p. 1
2. Scanning SQUID Microscopy	p. 2
3. Twin Boundaries	p. 3
4. Bicrystal Grain Boundaries	p. 8
5. Polygon Grain Boundaries	p. 12
6. Summary	p. 16
References	p. 17
Chapter 2. The Symmetry of the Superconducting Order Parameter and Low-Field Magnetic Properties in High-Temperature Superconductors	p. 19
1. Introduction	p. 19
2. Phenomenological Description	p. 22
3. Frustraton Effects	p. 25
4. Broken Time-Reversal Symmetry at Twin Boundaries	p. 29
5. Inhomogeneous Josephson Functions	p. 34
6. Conclusion	p. 36
References	p. 37
Chapter 3. The Vortex Phase Transition in YBa[subscript 2]Cu[subscript 3]O[subscript 7-delta]	p. 41
1. Introduction	p. 41
2. Thermodynamic Evidence	p. 43
3. Low Current Transport Evidence	p. 46
4. Connections between Thermodynamic and Dynamic Measurements	p. 53
5. Conclusion	p. 54
References	p. 55
Chapter 4. Numerical Simulations of Magnetic Properties of High-Temperature Superconductors	p. 57
1. Introduction	p. 57
2. Selective Review of Previous Work	p. 59
3. Models	p. 59
4. Melting and Dynamics of Flexible Lines	p. 63
5. XY Model: 0 [less than or equal] j [less than or equal] 1/6	p. 66
6. Simulated Local Magnetization Dump	p. 71
7. Discussion	p. 74
References	p. 75
Chapter 5. Quantum Melting and Quantum Creep of Vortex Matter in Thin Films of a-Nb[subscript 3]Ge	p. 78
1. Introduction	p. 78
2. Experimental	p. 79
3. Results and Discussion	p. 79
4. Conclusions	p. 92
References	p. 92
Chapter 6. Quantum Liquid of Vortices in Superconductors at T = 0	p. 94
1. Introduction	p. 94
2. Quantum Fluctuations and Topological Melting	p. 95
3. The Lindemann Criterion	p. 96
4. Mean Squared Displacement	p. 99
5. Condition of the Vortex Quantum Liquid	p. 100
6. Conclusions	p. 105
References	p. 105
Chapter 7. Vortex Lattice Structure in LuNi[subscript 2]B[subscript 2]C	p. 107
1. Introduction	p. 107
2. Vortex Imaging with a Scanning Tunneling Microscope	p. 109
3. Square Vortex Lattice in LuNi[subscript 2]B[subscript 2]C	p. 110
4. Summary	p. 123
References	p. 124
Chapter 8. Vortex Lattice Transitions	p. 127
1. Introduction	p. 127
2. London Equations Corrected for Nonlocality	p. 129
3. Microscopic Theory and London Approach	p. 133
4. Cubic Materials	p. 137
5. Borocarbides	p. 141
6. Mean Field Approach to VL Transitions	p. 145
7. Discussion	p. 147
Chapter 9. High Frequency Electrodynamics of Cuprate Superconductors in the Vortex State	p. 150
1. Introduction and Overview	p. 150
2. Zero-Field Response	p. 151
3. Electrodynamic Response in a Strong Magnetic Field	p. 153
4. Comparison with Experimental Data	p. 158
5. Comparison with YBCO	p. 168
6. Conclusions	p. 172
References	p. 173
Chapter 10. De Haas-Van Alphen Effect in the Vortex State of Type-II Superconductors	p. 175
1. Introduction	p. 175
2. The de Haas-van Alphen Effect	p. 177
3. Field Inhomogeneity in the Vortex State	p. 178
4. Experimental Techniques	p. 179
5. Experimental Results	p. 180
6. Discussion	p. 189
7. Conclusions	p. 172
References	p. 173
Chapter 11. Quantized Landau Levels in Superconductors	p. 197
1. Introduction	p. 175
2. Quasiparticle Spectrum of Extreme Type-II Superconductors	p. 201
3. Physical Properties of Gapless Superconductors	p. 210
4. dHvA Effect in the Mixed State at High Magnetic Fields	p. 214
5. Conclusion	p. 222
References	p. 223
Chapter 12. Vortex Lattice Imaging and Spectroscopic Studies of Flux Lines by Scanning Tunneling Microscopy	p. 226
1. Introduction	p. 226
2. Theoretical and Experimental Aspects	p. 228
3. Real Space Vortex Lattice Imaging	p. 231
4. Vortex Core Spectroscopy	p. 235
5. Summary and Outlook	p. 239
References	p. 241
Chapter 13. Vortex Structure in Clean Type II Superconductors with s-wave and d-wave Pair Symmetries	p. 245
1. Introduction	p. 245
2. Quasi-Classical Theory	p. 246
3. Bogoliubov-de Gennes Theory--Quantum Limiting Behaviors	p. 265
4. Conclusion and Outlook	p. 268
References	p. 268
Chapter 14. Superconductivity in Quasi-One-Dimensional Molecular Conductors (TMTSF)[subscript 2]X	p. 272
1. Introduction	p. 272
2. Superconductivity in (TMTSP)[subscript 2]X, X = ClO[subscript 4]	p. 276
3. Superconductivity in (TMTSF)[subscript 2]X, X = PF[subscript 6]	p. 286
References	p. 294
Chapter 15. Singlet Versus Triplet Superconductivity in Quasi-One-Dimensional Systems: Magnetic Field Effects	p. 296
1. Introduction	p. 296
2. Background	p. 297
3. Quasi-One-Dimensional Systems	p. 299
4. Superconductivity in a Magnetic Field	p. 305
5. Theoretical Digression: New Possibilities	p. 316
6. Concluding Remarks	p. 322
References	p. 322

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