Eduardo C. Marino

Quantum Field Theory Approach to Condensed Matter Physics (eBook, PDF)

• Format: PDF

Produktbeschreibung

A balanced combination of introductory and advanced topics provides a new and unique perspective on the quantum field theory approach to condensed matter physics. Beginning with the basics of these subjects, such as static and vibrating lattices, independent and interacting electrons, the functional formulation for fields and different generating functionals and their roles, this book presents a unified viewpoint illustrating the connections and relationships among various physical concepts and mechanisms. Advanced and newer topics bring the book up to date with current developments and include sections on cuprate and pnictide superconductors, graphene, Weyl semimetals, transition metal dichalcogenides and topological insulators. Finally, well-known subjects such as the quantum Hall effect, superconductivity, Mott and Anderson insulators, and the Anderson-Higgs mechanism are examined within a unifying QFT-CMP approach. Presenting new insights on traditional topics, this text allows graduate students and researchers to master the proper theoretical tools required in a variety of condensed matter physics systems.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 28. September 2017
• Englisch
• ISBN-13: 9781108514811
• Artikelnr.: 53062801

Autorenporträt

Eduardo C. Marino is Professor of Physics at the Universidade Federal do Rio de Janeiro. He is an elected member of the Brazilian National Academy of Sciences, and in 2005 was awarded the National Order of the Scientific Merit by the president of Brazil.

Inhaltsangabe

Preface; Part I. Condensed Matter Physics: 1. Independent electrons and static crystals; 2. Vibrating crystals; 3. Interacting electrons; 4. Interactions in action; Part II. Quantum Field Theory: 5. Functional formulation of quantum field theory; 6. Quantum fields in action; 7. Symmetries: explicit or secret; 8. Classical topological excitations; 9. Quantum topological excitations; 10. Duality, bosonization and generalized statistics; 11. Statistical transmutation; 12. Pseudo quantum electrodynamics; Part III. Quantum Field Theory Approach to Condensed Matter Systems: 13. Quantum field theory methods in condensed matter; 14. Metals, Fermi liquids, Mott and Anderson insulators; 15. The dynamics of polarons; 16. Polyacetylene; 17. The Kondo effect; 18. Quantum magnets in 1D: Fermionization, bosonization, Coulomb gases and 'all that'; 19. Quantum magnets in 2D: nonlinear sigma model, CP1 and 'all that'; 20. The spin-fermion system: a quantum field theory approach; 21. The spin glass; 22. Quantum field theory approach to superfluidity; 23. Quantum field theory approach to superconductivity; 24. The cuprate high-temperature superconductors; 25. The pnictides: iron based superconductors; 26. The quantum Hall effect; 27. Graphene; 28. Silicene and transition metal dichalcogenides; 29. Topological insulators; 30. Non-abelian statistics and quantum computation; References; Index.

Rezensionen

'Quantum field theory and condensed matter physics have mutually benefited from the progress in their respective areas. Recently some authors have been working to provide a unified view of these fields, both conceptually and in their technical aspects. Eduardo C. Marino's book is an important step in this direction and it is bold in its outlook as it deals with problems that have no consensual solution yet in the scientific community. In these chapters Marino is especially inspired as he guides the reader firmly through the challenges presented by these problems. His approach leads to a powerful grasp of mathematical tools and a solid knowledge of the most actual problems in condensed matter physics.' Mucio Amado Continentino, Centro Brasileiro de Pesquisas Físicas, Brazil