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 ($\phi$) was calculated at various values of the interaction energy in each layer (${\mathit{J}}_1,\mathit{J}$ ₂) and between the layers (${\mathit{J}}_3$). The value $\phi$ $\approx$ 2.41 was obtained for identical interactions in the layers (${\mathit{J}}_1$ $\mathit{=\; J}$ ₂). In the remaining cases (${\mathit{J}}_1$ $\ne \mathit{J}$ 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 ${\mathit{J}}_1$ > 0, ${\mathit{J}}_2$ > 0, and ${\mathit{J}}_1$ $\ne \mathit{J}$ ₂, where the transition shift exponent in the second layer takes the value 2.57.

提出了一种用于在具有两个根节点的任意层次晶格处进行单态化组转换的一般方法，并且存在单节点交互作用（层之间的交互作用，磁场，化学势等）。在零磁场下最简单的折叠正方形分层晶格代表下，针对两层伊辛模型显示了该方法的有效性。研究了相图和位移指数（$\phi$）是在每一层（${\mathit{Ĵ}}_{\mathrm{1个}}，\mathit{Ĵ}$ ₂）和各层之间（${\mathit{Ĵ}}_3$）。价值$\phi$ $\approx$ 对于各层中的相同相互作用，获得了2.41（${\mathit{Ĵ}}_{\mathrm{1个}}$ $\mathit{=\; J}$ ₂）。在其余情况下（${\mathit{Ĵ}}_{\mathrm{1个}}$ $\ne \mathit{Ĵ}$ ₂）移位指数证明接近于0.5，这与方格数据一致。例外情况是${\mathit{Ĵ}}_{\mathrm{1个}}$ > 0，${\mathit{Ĵ}}_2$ > 0，并且${\mathit{Ĵ}}_{\mathrm{1个}}$ $\ne \mathit{Ĵ}$ _在图2中，第二层中的过渡位移指数取值2.57。