Exact solutions of an Ising spin chain with a spin-1 impurity

doi:10.1088/1674-1056/26/3/037501

Abstract An exact solution of a single impurity model is hard to derive since it breaks translation invariance symmetry. We present the exact solution of the spin-1/2 transverse Ising chain imbedded by a spin-1 impurity. Using the hole decomposition scheme, we exactly solve the spin-1 impurity in two subspaces which are generated by a conserved hole operator. The impurity enlarges the energy deformation of the ground state above a pure transverse Ising system without impurity. The specific heat coefficient shows a small anomaly at low temperature for finite size. This indicates that the impurity can tune the ground state from a magnetic impurity space to a non-magnetic impurity space, which only exists for spin-1 impurity comparing with spin-1/2 impurity and a pure transverse Ising chain without impurity. These behaviors essentially come from adding impurity freedom, which induces a competition between hole and fermion excitation depending on the coupling strength with its neighbor and the single-ion anisotropy.

Keywords: exact solution spin chain impurity

Received: 03 August 2016
Revised: 26 November 2016
Accepted manuscript online:

PACS:	75.10.Pq	(Spin chain models)
	02.30.Ik	(Integrable systems)
	75.10.Dg	(Crystal-field theory and spin Hamiltonians)

Fund: Project supported by the Xinjiang Natural Science Foundation of China (Grant No. 2016D01C003).

Corresponding Authors: Xuchu Huang
E-mail: hxuchu@163.com

Cite this article:

Xuchu Huang(黄旭初) Exact solutions of an Ising spin chain with a spin-1 impurity 2017 Chin. Phys. B 26 037501

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