79 citations · 481 across the 29 of their papers we have counts for
29 papers
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…
Topological edge states in two-dimensional Potts paramagnet protected by the symmetry
Hrant Topchyan, Tigran Hakobyan, Mkhitar Mirumyan +2
We construct a two-dimensional bosonic symmetry-protected topological (SPT) paramagnet protected by an on-site symmetry, starting from a three-component…
Two-dimensional topological paramagnets protected by symmetry: Properties of the boundary Hamiltonian
Hrant Topchyan, Vasilii Iugov, Mkhitar Mirumyan +3
We systematically study gapless edge modes corresponding to symmetry-protected topological (SPT) phases of two-dimensional three-state Potts paramagnets on a triangu…
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.…
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…
Lowest energy states of an fermionic chain
Tigran Hakobyan
A quite general finite-size chain of fermions with internal degrees of freedom (flavors) and symmetry is considered. In the case of the free boundary condition, we prove…