J M Kosterlitz and D J Thouless 1973 J. Phys. C: Solid State Phys. 6 1181 doi:10.1088/0022-3719/6/7/010
J M Kosterlitz and D J Thouless
Show affiliationsA new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists. The possibility of a phase transition characterized by a change in the response of the system to an external perturbation is discussed in the context of a mean field type of approximation. The critical behaviour found in this model displays very weak singularities. The application of these ideas to the xy model of magnetism, the solid-liquid transition, and the neutral superfluid are discussed. This type of phase transition cannot occur in a superconductor nor in a Heisenberg ferromagnet.
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
64.70.D- Solid–liquid transitions
75.10.Jm Quantized spin models
75.40.-s Critical-point effects, specific heats, short-range order
Issue 7 (12 April 1973)
J M Kosterlitz and D J Thouless 1973 J. Phys. C: Solid State Phys. 6 1181
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