中国物理B ›› 2015, Vol. 24 ›› Issue (5): 50310-050310.doi: 10.1088/1674-1056/24/5/050310

• GENERAL • 上一篇    下一篇

Effect of interaction and temperature on quantum phase transition in anisotropic square-octagon lattice

保安a b, 张雪峰b, 章晓中a   

  1. a Laboratory of Advanced Materials, School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China;
    b School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, China
  • 收稿日期:2014-11-13 修回日期:2014-12-03 出版日期:2015-05-05 发布日期:2015-05-05
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11174169, 11234007, and 51471093).

Effect of interaction and temperature on quantum phase transition in anisotropic square-octagon lattice

Bao An (保安)a b, Zhang Xue-Feng (张雪峰)b, Zhang Xiao-Zhong (章晓中)a   

  1. a Laboratory of Advanced Materials, School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China;
    b School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, China
  • Received:2014-11-13 Revised:2014-12-03 Online:2015-05-05 Published:2015-05-05
  • Contact: Bao An E-mail:ba09@mails.tsinghua.edu.cn
  • About author:03.75.Ss; 37.10.Jk; 32.80.Hd; 67.85.Lm
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11174169, 11234007, and 51471093).

摘要:

We investigate the effect of interaction, temperature, and anisotropic parameter on the quantum phase transitions in an anisotropic square-octagon lattice with fermions under the framework of the single band Hubbard model through using the combination of cellular dynamical mean field theory and a continuous time Monte Carlo algorithm. The competition between interaction and temperature shows that with the increase of the anisotropic parameter, the critical on-site repulsive interaction for the metal–insulator transition increases for fixed temperature. The interaction–anisotropic parameter phase diagram reveals that with the decrease of temperature, the critical anisotropic parameter for the Mott transition will increase for fixed interaction cases.

关键词: anisotropic square-octagon lattice, fermions, quantum phase transition, cellular dynamical mean field theory

Abstract:

We investigate the effect of interaction, temperature, and anisotropic parameter on the quantum phase transitions in an anisotropic square-octagon lattice with fermions under the framework of the single band Hubbard model through using the combination of cellular dynamical mean field theory and a continuous time Monte Carlo algorithm. The competition between interaction and temperature shows that with the increase of the anisotropic parameter, the critical on-site repulsive interaction for the metal–insulator transition increases for fixed temperature. The interaction–anisotropic parameter phase diagram reveals that with the decrease of temperature, the critical anisotropic parameter for the Mott transition will increase for fixed interaction cases.

Key words: anisotropic square-octagon lattice, fermions, quantum phase transition, cellular dynamical mean field theory

中图分类号:  (Degenerate Fermi gases)

  • 03.75.Ss
37.10.Jk (Atoms in optical lattices) 32.80.Hd (Auger effect) 67.85.Lm (Degenerate Fermi gases)