中国物理B ›› 2018, Vol. 27 ›› Issue (5): 50302-050302.doi: 10.1088/1674-1056/27/5/050302

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Bogoliubov excitations in a Bose-Hubbard model on a hyperhoneycomb lattice

Wen-yan Zhou(周雯琰), Ya-jie Wu(吴亚杰), Su-Peng Kou(寇谡鹏)   

  1. 1 Department of Physics, Beijing Normal University, Beijing 100875, China;
    2 School of Science, Xi'an Technological University, Xi'an 710032, China
  • 收稿日期:2017-11-16 修回日期:2018-02-23 出版日期:2018-05-05 发布日期:2018-05-05
  • 通讯作者: Su-Peng Kou E-mail:spkou@bnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos.11474025,11674026,and 11504285),Specialized Research Fund for the Doctoral Program,China,and Young Talent Fund of University Association for Science and Technology in Shaanxi,China (Grant No.20160224).

Bogoliubov excitations in a Bose-Hubbard model on a hyperhoneycomb lattice

Wen-yan Zhou(周雯琰)1, Ya-jie Wu(吴亚杰)2, Su-Peng Kou(寇谡鹏)1   

  1. 1 Department of Physics, Beijing Normal University, Beijing 100875, China;
    2 School of Science, Xi'an Technological University, Xi'an 710032, China
  • Received:2017-11-16 Revised:2018-02-23 Online:2018-05-05 Published:2018-05-05
  • Contact: Su-Peng Kou E-mail:spkou@bnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos.11474025,11674026,and 11504285),Specialized Research Fund for the Doctoral Program,China,and Young Talent Fund of University Association for Science and Technology in Shaanxi,China (Grant No.20160224).

摘要:

We study the topological properties of Bogoliubov excitation modes in a Bose-Hubbard model of three-dimensional (3D) hyperhoneycomb lattices. For the non-interacting case, there exist nodal loop excitations in the Bloch bands. As the on-site repulsive interaction increases, the system is first driven into the superfluid phase and then into the Mott-insulator phase. In both phases, the excitation bands exhibit robust nodal-loop structures and bosonic surface states. From a topology point of view, these nodal-loop excitation modes may be viewed as a permanent fingerprint left in the Bloch bands.

关键词: hyperhoneycomb lattice, Mott-superfluid transition, Bogoliubov excitations, nodal-loop

Abstract:

We study the topological properties of Bogoliubov excitation modes in a Bose-Hubbard model of three-dimensional (3D) hyperhoneycomb lattices. For the non-interacting case, there exist nodal loop excitations in the Bloch bands. As the on-site repulsive interaction increases, the system is first driven into the superfluid phase and then into the Mott-insulator phase. In both phases, the excitation bands exhibit robust nodal-loop structures and bosonic surface states. From a topology point of view, these nodal-loop excitation modes may be viewed as a permanent fingerprint left in the Bloch bands.

Key words: hyperhoneycomb lattice, Mott-superfluid transition, Bogoliubov excitations, nodal-loop

中图分类号:  (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

  • 03.75.Kk
67.25.dj (Superfluid transition and critical phenomena) 37.10.Jk (Atoms in optical lattices)