Quantum Scaling in Many-Body Systems
Quantum Scaling in Many-Body Systems
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.
- Provides a new perspective on a range of topics
- An experimental focus means it is suitable for a wide audience, from graduates to experimentalists
- Includes several new topics, such as topological quantum phase transitions, which have never been approached in books from the proposed perspective
Reviews & endorsements
'The book is instructive, rich, stimulating and easy to follow, providing physical insight to many quantum critical phenomena where traditional theory becomes insufficient. The author draws attention to the physical interpretation and significant implications of the mathematical results presented here. The material is aimed at advanced graduate students in condensed matter or early career researchers … The book is very attractive, readable, containing discussions, comments or explanatory figures whenever is necessary. The author combines easy-to-grasp physical intuitive concepts with relevant mathematical expressions and advanced calculations, allowing the text to flow easily, in a highly organised and unified manner.' Eric Howard, Contemporary Physics
Product details
No date availableHardback
9781107150256
246 pages
254 × 179 × 15 mm
0.64kg
39 b/w illus. 2 tables
Table of Contents
- 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.
