Advertisement

Magnetic Phase Transitions

  • R. J. Elliott
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 48)

Abstract

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.

Keywords

Wave Function Matrix Element Irreducible Representation Crystal Field Magnetic Phase Transition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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. 2.
    L.D. Landau and E.M. Lifshitz,‘Statistical Physics’ (Pergamon 1959).Google Scholar
  3. 3.
    See for example M.E. Fisher, Rep. Prog. Phys. 30, 615 (1967).CrossRefADSGoogle Scholar
  4. 4.
    G.S. Rushbrooke, J. Chem. Phys. 39, 842 (1963).CrossRefADSGoogle Scholar
  5. 5.
    R.B. Griffiths, J. Chem. Phys. 43, 1958 (1965).CrossRefADSGoogle Scholar
  6. 6.
    B.D. Josephson, Proc. Phys. Soc. 92, 269, 276 (1967).CrossRefADSGoogle Scholar
  7. 7.
    B. Widom, J. Chem. Phys. 43, 3892, 3898 (1965).CrossRefADSGoogle Scholar
  8. 8.
    L. Kadanoff, Physics 2, 263 (1966).Google Scholar
  9. 9.
    V.L. Ginsberg, Sov. Phys. Solid State 2, 1824 (1960).Google Scholar
  10. 10.
    See P. Pfeuty and G. Toulouse, “Introduction to the Renormalisation Group and Critical Phenomena” Ch. 2 (Wiley 1977).Google Scholar
  11. 11.
    See for example B.R. Judd, ‘operator Techniques in Atomic Spectroscopy’ (McGraw Hill 1963).Google Scholar
  12. 12.
    See M. Tinkham, ‘Group Theory and Quantum Mechanics’ Ch.5, 6 (McGraw Hill 1964).Google Scholar
  13. 13.
    See A. Abragam and B. Bleaney, ‘Electron Paramagnetic Resonance of Transition Ions’ (OUP 1970).Google Scholar
  14. 14.
    R.J. Elliott and K.W.H. Stevens, Proc. Roy. Soc. A218, 553 (1953).ADSGoogle Scholar
  15. 15.
    C.J. Ballhausen, ‘Introduction to Ligand Field Theory’.Google Scholar
  16. 16.
    C. Herring ‘Magnetism Vol IIB’, Ed. Rado and Suhl (Acad. Press 1966).Google Scholar
  17. 17.
    P.W. Anderson ‘Magnetism Vol I’, Ed. Rado and Suhl (Adad. Press 1965).Google Scholar
  18. 18.
    M.G. Rudermann and C. Kittel, Phys. Rev. 96, 99 (1964).CrossRefADSGoogle Scholar
  19. 19.
    See P.W. Kasteleijn and Van Kranendonk, Physica 22, 317, 367 (1956).CrossRefMATHADSGoogle Scholar
  20. 20.
    R. Kikuchi and S.G. Bruch, J. Chem. Phys. 47, 195 (1967).CrossRefADSGoogle Scholar
  21. 21.
    C. Domb in ‘Phase Transitions and Critical Phenomena’ Ed. Domb and Green (Academic Press 1972).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • R. J. Elliott
    • 1
  1. 1.Department of Theoretical PhysicsOxfordEngland

Personalised recommendations