The two-layer Ising model on a sequence of diamond-like hierarchical lattices

G.D. Anisimova, A.V. Myshlyavtsev and S.S. Akimenko

Physica A: Statistical Mechanics and its Applications, 2021, vol. 583, issue C

Abstract: The two-layer Ising model on diamond-like hierarchical lattices of different structures with equal fractal dimension was investigated. We applied the renormalization group transformations for the considered lattices. The critical values of the shift exponent φ were computed for various intralayer interaction values (J1 and J2). For the simplest diamond-like hierarchical lattice φ≈2.35 at J1=J2. As the structure of the lattice becomes more complex, the shift exponent value increases. At J1=0.5J2 the value φ≈0.5 was obtained, which is consistent with the data for the square lattice. The graphs of the heat capacity, magnetization and magnetic susceptibility were plotted at J1=0.5J2. They showed the absence of the second phase transition at an arbitrarily weak coupling between the layers.

Keywords: Diamond-like hierarchical lattice; Two-layer Ising model; Shift exponent; Single-node interaction (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:583:y:2021:i:c:s0378437121006142

DOI: 10.1016/j.physa.2021.126341

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