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

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

中国物理B ›› 2017, Vol. 26 ›› Issue (3): 37501-037501.doi: 10.1088/1674-1056/26/3/037501

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

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

Xuchu Huang(黄旭初)

Department of Physics, Changji University, Changji 831100, China

收稿日期:2016-08-03 修回日期:2016-11-26 出版日期:2017-03-05 发布日期:2017-03-05
通讯作者: Xuchu Huang E-mail:hxuchu@163.com
基金资助:
Project supported by the Xinjiang Natural Science Foundation of China (Grant No. 2016D01C003).

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

Xuchu Huang(黄旭初)

Department of Physics, Changji University, Changji 831100, China

Received:2016-08-03 Revised:2016-11-26 Online:2017-03-05 Published:2017-03-05
Contact: Xuchu Huang E-mail:hxuchu@163.com
Supported by:
Project supported by the Xinjiang Natural Science Foundation of China (Grant No. 2016D01C003).

摘要/Abstract

摘要： 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.

关键词: exact solution, spin chain, impurity

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.

Key words: exact solution, spin chain, impurity

中图分类号: (Spin chain models)

75.10.Pq

02.30.Ik (Integrable systems) 75.10.Dg (Crystal-field theory and spin Hamiltonians)

黄旭初. Exact solutions of an Ising spin chain with a spin-1 impurity[J]. 中国物理B, 2017, 26(3): 37501-037501.

Xuchu Huang(黄旭初). Exact solutions of an Ising spin chain with a spin-1 impurity[J]. Chin. Phys. B, 2017, 26(3): 37501-037501.

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

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

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