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• W3042687820 startingPage "124919" @default.
• W3042687820 abstract "A general approach is proposed for renormalization group transformations at arbitrary hierarchical lattices with two root nodes and the presence of single-node interactions (interactions between layers, magnetic field, chemical potential, etc.). The effectiveness of the proposed approach was shown for the two-layer Ising model in a zero magnetic field on the simplest representative of folded square hierarchical lattices. The phase diagram was investigated and the shift exponent (φ) was calculated at various values of the interaction energy in each layer (J1,J 2) and between the layers (J3). The value φ ≈ 2.41 was obtained for identical interactions in the layers (J1 = J 2). In the remaining cases (J1 ≠J 2) the shift exponent turned out to be close to 0.5, which is consistent with the data for the square lattice. The exceptional case is J1 > 0, J2 > 0, and J1 ≠J 2, where the transition shift exponent in the second layer takes the value 2.57." @default.
• W3042687820 created "2020-07-23" @default.
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• W3042687820 date "2020-11-01" @default.
• W3042687820 modified "2023-10-17" @default.
• W3042687820 title "Classical lattice models with single-node interactions on hierarchical lattices: The two-layer Ising model" @default.
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• W3042687820 doi "https://doi.org/10.1016/j.physa.2020.124919" @default.
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