中国物理B ›› 2018, Vol. 27 ›› Issue (3): 37101-037101.doi: 10.1088/1674-1056/27/3/037101

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

Phase diagram, correlations, and quantum critical point in the periodic Anderson model

Jian-Wei Yang(杨建伟), Qiao-Ni Chen(陈巧妮)   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2017-11-10 修回日期:2017-12-01 出版日期:2018-03-05 发布日期:2018-03-05
  • 通讯作者: Qiao-Ni Chen E-mail:qiaoni@bnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11504023).

Phase diagram, correlations, and quantum critical point in the periodic Anderson model

Jian-Wei Yang(杨建伟), Qiao-Ni Chen(陈巧妮)   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2017-11-10 Revised:2017-12-01 Online:2018-03-05 Published:2018-03-05
  • Contact: Qiao-Ni Chen E-mail:qiaoni@bnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11504023).

摘要:

Periodic Anderson model is one of the most important models in the field of strongly correlated electrons. With the recent developed numerical method density matrix embedding theory, we study the ground state properties of the periodic Anderson model on a two-dimensional square lattice. We systematically investigate the phase diagram away from half filling. We find three different phases in this region, which are distinguished by the local moment and the spin-spin correlation functions. The phase transition between the two antiferromagnetic phases is of first order. It is the so-called Lifshitz transition accompanied by a reconstruction of the Fermi surface. As the filling is close to half filling, there is no difference between the two antiferromagnetic phases. From the results of the spin-spin correlation, we find that the Kondo singlet is formed even in the antiferromagnetic phase.

关键词: periodic Anderson model, Kondo singlet states, density matrix embedding theory

Abstract:

Periodic Anderson model is one of the most important models in the field of strongly correlated electrons. With the recent developed numerical method density matrix embedding theory, we study the ground state properties of the periodic Anderson model on a two-dimensional square lattice. We systematically investigate the phase diagram away from half filling. We find three different phases in this region, which are distinguished by the local moment and the spin-spin correlation functions. The phase transition between the two antiferromagnetic phases is of first order. It is the so-called Lifshitz transition accompanied by a reconstruction of the Fermi surface. As the filling is close to half filling, there is no difference between the two antiferromagnetic phases. From the results of the spin-spin correlation, we find that the Kondo singlet is formed even in the antiferromagnetic phase.

Key words: periodic Anderson model, Kondo singlet states, density matrix embedding theory

中图分类号:  (Theories and models of many-electron systems)

  • 71.10.-w
71.10.Fd (Lattice fermion models (Hubbard model, etc.)) 71.10.Hf (Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems) 75.20.Hr (Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)