Ground State of the Quantum Symmetric Finite Size XXZ Spin Chain with Anisotropy Parameter $Δ= {1/2}$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages

Scientific paper

10.1088/0305-4470/33/13/101

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for $U_q(sl(2))$ symmetry of the Hamiltonian. More precisely, we find one nontrivial solution, corresponding to the ground state of the system with anisotropy parameter $\Delta = {1/2}$ corresponding to $q^3 = -1$.

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