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Ground-state phase diagram of the mixed spin-$1/2$ and spin-$1$ Ising chainwith axial and rhombic zero-field splitting parameters is exactly calculatedwithin the framework of the transfer-matrix method. It is shown that therhombic zero-field splitting parameter prefers the magnetically ordered phaseinstead of the disordered phase.

On the exact solution of the mixed-spin Ising chain with axial and rhombic zero-field splitting parameters