The q-deformed Haldane-Shastry Spin Chain Model and the Corresponding Topological Basis Realization.

In this paper, we show a q-deformed spin − 1 2 Haldane-Shastry (HS) chain with the symmetry of quantum group algebra, and find that the Hamiltonian of the system can be constructed from the Temperley-Lieb (TL) algebra generator. Based on this, it is shown that the topological basis states are the two eigenstaes of the four-qubit q-deformed spin − 1 2 HS chain. Specifically, the spin singlet states of the system all fall on the topological basis states. And the number of the spin singlet states of the system is equal to the number of the topological basis states. Meanwhile, in the case of antiferromagnetism, the energy ground state of the system falls on the topological subspace. [ABSTRACT FROM AUTHOR]