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- Tigran Hakobyan
- 2009

The su(n) symmetric antiferromagnetic finite chain with the fundamental representation and nearest-neighbor interaction is studied. A partial ordering between the lowest energy levels E(Y) in multiplet sectors corresponding to different Young tableaux Y is established for the chains with arbitrary site-dependent couplings. For the open chains it is proved… (More)

We show that the action of universal R-matrix of affine Uqsl2 quantum algebra, when q is a root of unity, can be renormalized by some scalar factor to give a well defined nonsingular expression, satisfying Yang-Baxter equation. It reduced to intertwining operators of all representations, corresponding to Chiral Potts, if the parameters of these… (More)

The Lieb–Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young diagrams.… (More)

We construct the family of spin chain Hamiltonians, which have affine Uqg guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have nonaffine Uqg0 quantum group symmetry, but have the degeneracy of levels, corresponding to affine Uqg. The space of states of these chaines are formed by the tensor… (More)

- A . Avakyan, Tigran Hakobyan, Ara G. Sedrakyan
- 1996

We construct the family of spin chain Hamiltonians, which have affine quantum group symmetry Uq ĝ. Their eigenvalues coincide with the eigenvalues of the usual spin chain Hamiltonians, but have the degeneracy of levels, corresponding to affine Uq ĝ. The space of states of these spin chains is formed by the tensor product of fully reducible representations… (More)

- Tigran Hakobyan, D. Sedrakyan, Ara G. Sedrakyan
- 2000

Electron and phonon states in two different models of intentionally disordered superlattices are studied analytically as well as numerically. The localization length is calculated exactly and we found that it diverges for particular energies or frequencies, suggesting the existence of delocalized states for both electrons and phonons. Numerical calculations… (More)

We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane) fI CP 1 . We also extend this picture to the N = 2k superconformal… (More)

- A . Avakyan, Tigran Hakobyan, Ara G. Sedrakyan
- 1996

We construct the family of spin chain hamiltonians, which have affine quantum group symmetry Uq ĝ. Their eigenvalues coincide with the eigenvalues of the usual spin chain hamiltonians, but have the degeneracy of levels, corresponding to affine Uq ĝ. The space of states of these spin chains is formed by the tensor product of fully reducible representations.… (More)

We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane) fI CP 1 . We also extend this picture to the N = 2k superconformal… (More)