Résumé
The book starts by presenting the scaling theory of quantum critical phenomena. Critical exponents for different systems are calculated using both the momentum space and real space renormalization group approaches. The former is developed without the use of Feynman diagrams, allowing nonspecialists to fully appreciate the underlying physics of this method. The case of heavy fermions as an example of systems close to a zero temperature phase transition is presented and discussed in detail. This is also the case of non-Fermi liquid behavior associated with a quantum critical point. Metal–insulator transitions are discussed within the scaling approach. The book ends with a discussion on first order quantum phase transitions, in particular those which occur due to a fluctuation-induced mechanism.
Contents
- Scaling Theory of Quantum Critical Phenomena
- Landau and Gaussian Theories
- Renormalization Group: The e-Expansion
- Quantum Phase Transitions
- Real Space Renormalization Group Approach
- Heavy Fermions
- A Microscopic Model for Heavy Fermions
- Metal-Insulator Transitions
- Density-Driven Metal–Insulator Transitions
- Mott Transitions
- The Nonlinear Sigma Model
- Fluctuation-Induced Quantum Phase Transitions
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | World Scientific |
| Auteur(s) | Mucio A. Continentino |
| Parution | 01/06/2001 |
| Nb. de pages | 188 |
| Format | 15,8 x 22,3 |
| Couverture | Relié |
| Poids | 421g |
| Intérieur | Noir et Blanc |
| EAN13 | 9789810243890 |
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