T. Hakobyan

collaborators

4 papers

cond-mat.str-el2026

Topological edge states in two-dimensional $Z_{4}$ Potts paramagnet protected by the $Z_{4}^{\times 3}$ symmetry

Hrant Topchyan, Tigran Hakobyan, Mkhitar Mirumyan +2

We construct a two-dimensional bosonic symmetry-protected topological (SPT) paramagnet protected by an on-site $G = Z_{4}^{\times 3}$ symmetry, starting from a three-component…

math.NT2026

T-Fermat integers

Tigran Hakobyan

We introduce the concept of a T-Fermat integer, which generalizes the notion of a prime number. We show that any composite T-Fermat integer, if one exists, must be a Carmichael num…

hep-th2025

Dunkl symplectic algebra in generalized Calogero models

Tigran Hakobyan

We study the properties of the symplectic sp(2N) algebra deformed using Dunkl operators, which describe the dynamical symmetry of the generalized N-particle quantum Calogero model.…

cond-mat.str-el2025

Two-dimensional topological paramagnets protected by $Z_{3}$ symmetry: Properties of the boundary Hamiltonian

Hrant Topchyan, Vasilii Iugov, Mkhitar Mirumyan +3

We systematically study gapless edge modes corresponding to $Z_{3}$ symmetry-protected topological (SPT) phases of two-dimensional three-state Potts paramagnets on a triangu…

Topological edge states in two-dimensional Z4​ Potts paramagnet protected by the Z4×3​ symmetry

T-Fermat integers

Dunkl symplectic algebra in generalized Calogero models

Two-dimensional topological paramagnets protected by Z3​ symmetry: Properties of the boundary Hamiltonian

Topological edge states in two-dimensional $Z_{4}$ Potts paramagnet protected by the $Z_{4}^{\times 3}$ symmetry

Two-dimensional topological paramagnets protected by $Z_{3}$ symmetry: Properties of the boundary Hamiltonian