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arxiv: cond-mat/0212163 · v1 · submitted 2002-12-08 · ❄️ cond-mat.str-el

Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields

Junpeng Cao , Hai-Qing Lin , Kang-jie Shi , Yupeng Wang This is my paper
classification ❄️ cond-mat.str-el
keywords spincaseboundarychainderivedelementaryexactexcitations
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By using a set of gauge transformations, the exact solutions of the XXZ spin chain with unparallel boundary magnetic fields are derived in the framework of the algebraic Bethe ansatz. In the easy-plane case, we show the elementary excitations are some kind of spinons without definite spin because the U(1) symmetry is broken, while in the easy-axis ferromagnetic case a spiral state is realized in the ground state. The correlation functions, the spin torque as well as the spin voltage for the later case are also derived.

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    Universal TT- and TQ-relations are derived for the centrally extended q-Onsager algebra, giving explicit polynomials for local conserved quantities in spin-j chains and new symmetries for special boundaries.