PHASE-TRANSITION IN A Q-DEFORMED LIPKIN MODEL
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Iop Publishing Ltd
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Assuming q-deformed commutation relations for the fermions, an extension of the standard Lipkin Hamiltonian is presented. The usual quasi-spin representation of the standard Lipkin model is also obtained in this q-deformed framework. A variationally obtained energy functional is used to analyse the phase transition associated with the spherical symmetry breaking. The only phase transitions in this q-deformed model are of second order. As an outcome of this analysis a critical parameter is obtained which is dependent on the deformation of the algebra and on the number of particles.
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Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 28, n. 17, p. 4915-4923, 1995.
