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基本説明
New in paperback. Hardcover was published in 2000.
Full Description
Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Contents
Part I. Introductionstatistical mechanics: single site models; 3. Overview; Part II. Quantum Ising and Rotor Models: 4. The Ising chain in a transverse field; 5. Quantum rotor models: large N limit; 6. The d = 1, 0 (N greater than or equal to 3) rotor models; 7. The d = 2 (N greater than or equal to 3) rotor models; 8. Physics close to and above the upper-critical dimension; 9. Transport in d = 2; Part III. Other Models: 10. Boston Hubbard model; 11. Dilute Fermi and Bose gases; 12. Phase transitions of Fermi liquids; 13. Heisenberg spins: ferromagnets and antiferromagnets; 14. Spin chains: bosonization; 15. Magnetic ordering transitions of disordered systems; 16. Quantum spin glasses.
