The exact solution of magnetic susceptibility for finite Ising ring with a magnetic impurity

We connected the two ends of a finite spin-1/2 antiferromagnetic Ising chain with magnetic impurity at one end to form closed ring, and studied its susceptibility exactly by using transfer matrix method. calculated in whole temperature range gave phase diagram ground state system about anisotropy strength connection exchange interaction for spin-1 -3/2 impurities. also entropy derived asymptotic expression multiplied zero-temperature limit high-temperature limit. It was found that degenerate may exist some parameter region zero odd spin number system, is ln(2) nondegenerate dependent on phase. The low exhibits ferromagnetic behavior, Curie constant related configuration state. When nondegenerate, equal square net spin, regardless parity spin. degenerate, be total number. At limit, quantum ring.