Magnetic Phase Transitions
Phase transitions are an important class of physical phenomena with enormous practical applications which also raise fundamental theoretical problems. In magnetic systems both of these aspects are evident. It was the existence of magnetic order in materials like iron which first attracted attention to the subject of magnetism. With our enhanced understanding of the fundamental theory of magnetism these materials now form what is probably the most important testing ground of the theory of phase transitions since it is often possible to obtain a simple but realistic model Hamiltonian to describe the system. For example the most studied theoretical model which displays a phase transition is the Ising model and this forms a good description of some,magnetic systems.
KeywordsAnisotropy Manifold Compressibility Veri Aniso
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- 1.For a review see for example H.E. Stanley,‘introduction to Phase Transitions and Critical Phenomena’(OUP, 1st End. 1971; 2nd Ed. 1983).Google Scholar
- 2.L.D. Landau and E.M. Lifshitz,‘Statistical Physics’ (Pergamon 1959).Google Scholar
- 8.L. Kadanoff, Physics 2, 263 (1966).Google Scholar
- 9.V.L. Ginsberg, Sov. Phys. Solid State 2, 1824 (1960).Google Scholar
- 10.See P. Pfeuty and G. Toulouse, “Introduction to the Renormalisation Group and Critical Phenomena” Ch. 2 (Wiley 1977).Google Scholar
- 11.See for example B.R. Judd, ‘operator Techniques in Atomic Spectroscopy’ (McGraw Hill 1963).Google Scholar
- 12.See M. Tinkham, ‘Group Theory and Quantum Mechanics’ Ch.5, 6 (McGraw Hill 1964).Google Scholar
- 13.See A. Abragam and B. Bleaney, ‘Electron Paramagnetic Resonance of Transition Ions’ (OUP 1970).Google Scholar
- 15.C.J. Ballhausen, ‘Introduction to Ligand Field Theory’.Google Scholar
- 16.C. Herring ‘Magnetism Vol IIB’, Ed. Rado and Suhl (Acad. Press 1966).Google Scholar
- 17.P.W. Anderson ‘Magnetism Vol I’, Ed. Rado and Suhl (Adad. Press 1965).Google Scholar
- 21.C. Domb in ‘Phase Transitions and Critical Phenomena’ Ed. Domb and Green (Academic Press 1972).Google Scholar