Junpeng Cao, Wenli Yang, Kangjie Shi, Yupeng Wang
A general method is proposed for constructing the exact solutions of integrable models without U(1) symmetry. As an example, the exact spectrum of the $XXZ$ spin ring with M{\" o}bius like topological boundary condition is derived by constructing a recursion functional relation of the eigenvalues of the transfer matrix. The elementary excitations of the the topological $XX$ spin ring is discussed. It is found that the excitation spectrum indeed shows a nontrivial topological nature.
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http://arxiv.org/abs/1305.7328
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