A new approximation for the dynamics of the transverse ising model |
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| Authors: | V H Santos and C Scherer |
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| Institution: | (1) Instituto de Fisica, Universidade Federal do Rio Grande do Sul, 90000 Porto Alegre, Brazil;(2) Fachbereich 11-Physik, Theoretische Physik, Universität des Saarlandes, Im Stadtwald, D-6600 Saarbrücken, Federal Republic of Germany;(3) Present address: Departamento de Fisica, UFSC, Florianopolis, Brazil;(4) Present address: Instituto de Fisica-UFRGS-90000, Porto Alegre, Brazil |
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| Abstract: | An improved mean field theory, the Reaction Field Approximation, which was previously used to obtain the static properties of model systems of localized spins (Heisenberg, XY, Ising and also more complicated interaction Hamiltonians) is extendend so that dynamical properties of the Ising model in presence of a transverse field can also be calculated. Theq- and  -dependent susceptibility is obtained as function of field and temperature, from which the dynamic correlation functions can also be obtained. The dependence of the critical temperature on the transverse field is calculated and a phase diagram is presented.Work partly supported by Conselho Nacional de Desenvolvimento Cientifico e Tecnológico, CNPq, Brazil and by Alexander von Humboldt Stiftung, FRG |
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