Abstract
The mixed spin-1/2 and spin-1 Ising chain with both longitude and transverse single-ion anisotropies D z and D x is solved exactly by means of a mapping to the spin-1/2 Ising chain with the alternating transverse fields and the Jordan–Wigner transformation. The analytical expressions of the quasi-particles' spectra Λ k , the minimal energy gap Δ 0 for exciting a fermion quasi-particle, the minimal energy gap Δ h for exciting a hole, and the ground state energy are obtained. The phase diagram of the ground state is also given. The results show that when D z ⩾ 0 for any finite value of D x , there is no quantum critical point and the ground state is always in a spin ordered phase disregard of the boundary condition in the present system.
Published Version
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