68 citations · 389 across the 38 of their papers we have counts for
39 papers
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…
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…
Geometry of random potentials: Induction of 2D gravity in Quantum Hall plateau transitions
Riccardo Conti, Hrant Topchyan, Roberto Tateo +1
In the context of the Integer Quantum Hall plateau transitions, we formulate a specific map from random landscape potentials onto 2D discrete random surfaces. Critical points of th…
Deformation of graphene sheet: Interaction of fermions with phonons
Ara Sedrakyan, Andreas Sinner, Klaus Ziegler
We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hoppin…
Critical behavior at the integer quantum Hall transition in a network model on the Kagome lattice
I. A. Gruzberg, N. Charles, A. Klümper +2
We study a network model on the Kagome lattice (NMKL). This model generalizes the Chalker-Coddington (CC) network model for the integer quantum Hall transition. Unlike random netwo…
Topological Indices of Proteins
Dmitry Melnikov, Antti J Niemi, Ara Sedrakyan
Protein molecules can be approximated by discrete polygonal chains of amino acids. Standard topological tools can be applied to the smoothening of the polygons to introduce a topol…