Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/45643
Title: The β-expansion of periodic dressed chain models
Keywords: Quantum statistical mechanicsIsing model
β-expansion
Ising model
Staggered
Issue Date: 15-Sep-2011
Publisher: Elsevier
Citation: SILVA, E. V. C. et al. The β-expansion of periodic dressed chain models. Physica A, [S.l.], v. 390, n. 18-19, p. 3108-3119, Sept. 2011. DOI: 10.1016/j.physa.2011.04.018.
Abstract: We revisit the method of calculating the β-expansion of the Helmholtz free energy of any one-dimensional (1D) Hamiltonian with invariance under space translations, presented in [O. Rojas, S.M. de Souza, M.T. Thomaz, J. Math. Phys. 43 (2002) 1390], extending this method to 1-D Hamiltonians that are invariant under translations along super-sites (sequences of l sites). The method is applicable, for instance, to spin models and bosonic/fermionic versions of Hubbard models, either quantum or classical. As an example, we focus on the staggered spin-S Ising model in the presence of a longitudinal magnetic field, comparing some of its thermodynamic functions to those of the standard Ising model. We show that for arbitrary values of spin (S∈{1,3/2,2,…}) but distinct values of the coupling constant and the magnetic field, the specific heat and the z-component of the staggered and usual magnetizations can be well approximated by their respective thermodynamic function of the spin-1/2 models in a suitable interval of temperature. These approximations are valid for the standard Ising model as well as for the staggered model, the thermodynamics of which are known exactly.
URI: https://www.sciencedirect.com/science/article/pii/S0378437111003128
http://repositorio.ufla.br/jspui/handle/1/45643
Appears in Collections:DFI - Artigos publicados em periódicos

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