22 citations · 104 across the 17 of their papers we have counts for
19 papers
Anizotropic Ising Model on 2D Kagomé Lattice as an Inhomogeneous XYZ Integrable Model
Shahane A. Khachatryan, Hrachya Babujian, Ara G. Sedrakyan
We investigate a generalized inhomogeneous two-dimensional Ising model on the kagomé lattice with two alternating couplings and , , along the three lattice dir…
Critical couplings of two dimensional Ising model on various lattices
Sh. Khachatryan, A. Sedrakyan
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 wi…
Inhomogeneous Ising Model on 2D kagomé Lattice: Fermionic field approach
Shahane A. Khachatryan, Zhidong Zhang, Ara G. Sedrakyan
We investigate the two-dimensional inhomogeneous Ising model (2DIM) on the kagom'e lattice by mapping it onto a particular non-symmetric eight-vertex model and constructing the cor…
and symmetry protected topological paramagnets
Hrant Topchyan, Vasilii Iugov, Mkhitar Mirumyan +3
We identify two-dimensional three-state Potts paramagnets with gapless edge modes on a triangular lattice protected by symmetry and s…
Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for
Sh. Khachatryan, A. Sedrakyan
We construct the exact spectral parameter dependent vertex R-matrix for the classical 3D -state chiral Potts models, convenient for considering the model in context of…
Series of the solutions to Yang-Baxter equations: Hecke type matrices and descendant R-, L-operators
Sh. A. Khachatryan
We have constructed series of the spectral parameter dependent solutions to the Yang-Baxter equations defined on the tensor product of reducible representations with symmetry of qu…