Spin Glasses and Other Frustrated Systems

✍ Scribed by Debashish Chowdhury

• Publisher: Princeton University Press
• Year: 2014
• Tongue: English
• Leaves: 399
• Series: Princeton Series in Physics; 54
• Edition: Course Book
• Category: Library

✦ Synopsis

Debashish Chowdhury's critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the real spin glasses but also explains the physical concepts and the mathematical formalisms that have been used successfully in solving the infiniterange model.

Originally published in 1987.

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✦ Table of Contents

Acknowledgements
A note for the readers
Contents
1. Real Spin Glass (SG) Materials, SG-Like Materials and SG Models
2. A Brief History of the Early Theories of SG
3. SG "Phase Transition": Order Parameters and Mean-Field Theory
4. Sherrington-Kirkpatrick (SK) Model and the SK Solution
5. Instability of the SK Solution
6. Thouless-Anderson-Palmer (TAP) Solution of the SK Model
7. Parisi Solution of the SK Model and its Stability
8. Sompolinsky1s Dynamical Solution of the SK Model and its Stability
9. Ergodicity, Pure States, Ultrametricity, and Fluctuation-Dissipation Theorem
10. p-Spin Interaction and the Random Energy Model
11. Separable SG Glass Models
12 The Spherical Model of SG
13. MFT of Vector SG: Mixed Phase
14. Other Long-Ranged Models
15. Anisotropic Exchange Interactions and SG
16. Nonlinear Susceptibilities, AT and GT Lines and Scaling Theories
17. High-Temperature Expansion, Renormalization Group; Upper and Lower Critical Dimensions
18. Spin Dynamics in Vector SG: Propagating Modes
19. Spin Dynamics in SG: Relaxational Modes and Critical Dynamics
20. Frustration, Gauge Invariance, Defects and SG
21. Is the SG Transition Analogous to the Blocking of Superparamagnetic Clusters?
22. Is the SG Transition Analogous to Percolation?
23. Is the SG Transition Analogous to the Localization-Delocalization Transition?
24. Computer Simulation Studies and "Numerically Exact" Treatment of SG Models
25. Transport Properties of SG and Sound Attenuation in SG
26. Miscellaneous Aspects of SG
27. SG-Like Systems
28. Conclusion
Appendix A: SG Systems and the Nature of the Interactions
Appendix B: General Features of the Experimental Results
References
Addendum