Quantum Scaling in Many-Body Systems: An Approach to Quantum Phase Transitions
Cambridge University Press
Edition: 2, 4/17/2017
EAN 9781107150256, ISBN10: 1107150256
Hardcover, 246 pages, 25.8 x 17.7 x 1.8 cm
Language: English
Quantum phase transitions are strongly relevant in a number of fields, ranging from condensed matter to cold atom physics and quantum field theory. This book, now in its second edition, approaches the problem of quantum phase transitions from a new and unifying perspective. Topics addressed include the concepts of scale and time invariance and their significance for quantum criticality, as well as brand new chapters on superfluid and superconductor quantum critical points, and quantum first order transitions. The renormalisation group in real and momentum space is also established as the proper language to describe the behaviour of systems close to a quantum phase transition. These phenomena introduce a number of theoretical challenges which are of major importance for driving new experiments. Being strongly motivated and oriented towards understanding experimental results, this is an excellent text for graduates, as well as theorists, experimentalists and those with an interest in quantum criticality.
Preface
1. Scaling theory of quantum critical phenomena
2. Landau and Gaussian theories
3. Real space renormalization group approach
4. Renormalisation group
the expansion
5. Quantum phase transitions
6. Heavy fermions
7. A microscopic model for heavy fermions
8. Metal and superuid-insulator transitions
9. Density-driven metal-insulator transitions
10. Mott transitions
11. The non-linear sigma model
12. Superconductor quantum critical points
13. Topological quantum phase transitions
14. Fluctuation-induced quantum phase transitions
15. Scaling theory of first order quantum phase transitions
Appendix 1. Green's functions
References
Index.