Author

S. Khachatryan

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Preprint Sep 2026

Anizotropic Ising Model on 2D Kagom\'{e} Lattice as an Inhomogeneous XYZ Integrable Model

We investigate a generalized inhomogeneous two-dimensional Ising model on the kagom\'e lattice with two alternating couplings $J_i$ and $J'_i$, $i=1,2,3$, along the three lattice directions. The local Boltzmann weights are mapped onto a non-symmetric eight-vertex $R$-matrix satisfying the free-fermion condition for arb...

S. Khachatryan, H. Babujian, A. Sedrakyan · 0 citations

Preprint Aug 2026

Critical couplings of two dimensional Ising model on various lattices

We develop a unified fermionic-field formulation of the two-dimensional Ising model on several planar lattices using the Kac-Ward representation. Grassmann fields are associated with directed lattice links, while changes in the direction of fermionic trajectories are encoded by the corresponding Kac-Ward phase factors....

S. Khachatryan, A. Sedrakyan · 1 citation