Abstract
The renormalization group technique is a method in which the free energy for a system with one degree of freedom per unit volume and coupling constants \((K_1,K_2,\ldots )\) is related to the free energy of a system with the same Hamiltonian but with only one degree of freedom per volume \(L^d\) with \(L > 1\), and coupling constants \((K_1^\prime ,K_2^\prime ,\ldots )\), as shown in Fig. 13.1.
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References
R.J. Baxter, Eight-vertex model in lattice statistics. Phys. Rev. Lett. 26, 832–3 (1971)
L.P. Kadanoff, Scaling laws for Ising models near T\(_{\rm c}\). Physics 2, 263 (1966)
M. Nauenberg, B. Nienhuis, Critical surface for square Ising spin lattice. Phys. Rev. Lett. 33, 944 and Renormalization-group approach to the solution of general Ising models, ibid. 1598 (1974)
B. Nienhuis, M. Nauenberg, Renormalization-group calculation for the equation of state of an Ising ferromagnet. Phys. Rev. B 11, 4152 (1975)
M. Schick, J.S. Walker, M. Wortis, Phase diagram of the triangular Ising model: Renormalization-group calculation with application to adsorbed monolayers, Phys. Rev. B 16, 2205 (1977)
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Berlinsky, A.J., Harris, A.B. (2019). Real Space Renormalization Group. In: Statistical Mechanics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-28187-8_19
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DOI: https://doi.org/10.1007/978-3-030-28187-8_19
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