附註:Includes bibliographical references and index.
1. Paramagnetism. 1.1. Introduction. 1.2. Quantum mechanics of atoms. 1.3. The quantum theory of paramagnetism. 1.4. Crystal-field corrections. 1.5. Quenching of L. 1.6. Time reversal and spin. 1.7. Effective spin Hamiltonian -- 2. Interacting spins. 2.1. Weiss model of ferromagnetism. 2.2. Microscopic basis of magnetism -- 3. Mean field approximation. 3.1. Helmholtz free energy. 3.2. Mean field susceptibility. 3.3. Specific heat of Ferromagnet. 3.4. The Oguchi method. 3.5. Modulated phases. 3.6. MFA for antiferromagnetism. 3.7. Helimagnetism. 3.8. Goldstone's theorem -- 4. Spin waves. 4.1. Introduction. 4.2. Holstein-Primakoff transformation. 4.3. Linear spin-wave theory. 4.4. Semiclassical picture. 4.5. Macroscopic magnon theory. 4.6. Thermal properties. 4.7. The Heisenberg antiferromagnet. 4.8. Introduction. 4.9. AFM spin-waves. 4.10. Sublattice magnetization. 4.11. Ground state energy of AFM -- 5. Green's functions methods. 5.1. Definitions. 5.2. Spectral representation. 5.3. RPA for spin 1/2 ferromagnet. 5.4. Comparison of RPA and MFA. 5.5. RPA for arbitrary spin. 5.6. RPA for ferromagnets. 5.7. FM with a finite applied field. 5.8. RPA for antiferrornagnet. 5.9. RPA susceptibility of AFM. 5.10. Spin-flop transition. 5.11. [symbol] at low T. 5.12. Transverse susceptibility. 5.13. Single-site anisotropy. 5.14. Dynamic linear response. 5.15. Energy absorbed from external field. 5.16. Susceptibility of FM. 5.17. Corrections to RPA -- 6. Dipole-Dipole interactions. 6.1. Dipolar Hamiltonian. 6.2. Dipole-exchange spin-waves. 6.3. Uniform precession (k = 0) mode. 6.4. Eingenmodes for k [symbol] 0. 6.5. Ellipticity of spin precession. 6.6. Effect of magnons on total spin. 6.7. Magnetostatic modes.
7. Itinerant magnetism. 7.1. Introduction. 7.2. Hubbard Hamiltonian. 7.3. Instability of paramagnetic phase. 7.4. Magnons in the Stoner model. 7.5. [symbol] in Stoner model. 7.6. Metals with degenerate bands. 7.7. Spin-density waves. 7.8. Hartree Fock description of SDW. 7.9. Effects of correlations -- 8. Indirect Exchange. 8.1. Introduction. 8.2. Effective s-d exchange interaction. 8.3. Indirect exchange Hamiltonian. 8.4. Range function and band structure. 8.5. Semiconductors. 8.6. Magnetic multilayer systems -- 9. Low dimensions. 9.1. Introduction. 9.2. Mermin-Wagner theorem. 9.3. Dipolar interactions in low dimensions. 9.4. One dimensional instabilities. 9.5. Antiferromagnetic chain. 9.6. RPA for the AFM chain. 9.7. Dipolar interaction in layers -- 10. Surface magnetism. 10.1. Introduction. 10.2. MFA treatment of surfaces. 10.3. Surface excitations. 10.4. LRPA method. 10.5. Wave functions for bulk and surface. 10.6. Surface density of magnon states. 10.7. Surface phase-transitions. 10.8. Dipolar surface effects. 10.9. Surface magnetism in metals -- 11. Two-magnon eigenstates. 11.1. Introduction. 11.2. Green's function formalism. 11.3. One dimension. 11.4. Two dimensions. 11.5. Summary of results. 11.6. Anisotropy effects -- 12. Other interactions. 12.1. Introduction. 12.2. Two-magnon interaction. 12.3. Three-magnon processes. 12.4. Magnon-phonon interaction. 12.5. Bilinear magnon-phonon interaction.
摘要:This book is intended as a basic text for a two-term graduate course for physicists, engineers and chemists with a background in quantum and statistical mechanics. What sets it apart from other publications on the subject is its extensive use of Green's function techniques and its detailed discussion of the application of the mean-field approximation and dipole-dipole interactions in one, two and three dimensions. A chapter each has been devoted to low-dimensional systems, surface magnetism and layered systems. A total of 60 exercises have also been included.
