中国物理B ›› 2014, Vol. 23 ›› Issue (5): 56701-056701.doi: 10.1088/1674-1056/23/5/056701

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Diverse solid and supersolid phases of bosons in a triangular lattice

陈起辉, 李鹏   

  1. The Key Laboratory of High Energy Density Physics and Technology of Ministry of Education, College of Physical Science and Technology, Sichuan University, Chengdu 610064, China
  • 收稿日期:2013-09-12 修回日期:2013-11-14 出版日期:2014-05-15 发布日期:2014-05-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11074177) and the Scientific Research Foundation for the Returned Overseas Chinese Scholars of the Ministry of Education, China (Grant No. 20111139-10-2).

Diverse solid and supersolid phases of bosons in a triangular lattice

Chen Qi-Hui (陈起辉), Li Peng (李鹏)   

  1. The Key Laboratory of High Energy Density Physics and Technology of Ministry of Education, College of Physical Science and Technology, Sichuan University, Chengdu 610064, China
  • Received:2013-09-12 Revised:2013-11-14 Online:2014-05-15 Published:2014-05-15
  • Contact: Li Peng E-mail:lipeng@scu.edu.cn
  • About author:67.80.kb; 37.10.Jk; 05.30.Jp
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11074177) and the Scientific Research Foundation for the Returned Overseas Chinese Scholars of the Ministry of Education, China (Grant No. 20111139-10-2).

摘要: We investigate the ground state of bosons with long-range interactions in the large U limit on a triangular lattice. By mapping this system to the spin-1/2 XXZ model in a magnetic field, we can apply the spin wave theory to this study. We demonstrate how to construct the phase diagrams within the spin wave theory. The phase diagrams are given in an extensive parameter region, where, besides the superfluid phase, diverse solid and supersolid phases are shown to exist in this model. Especially, we find that the phase diagram obtained in this method is consistent with the one obtained previously using numerical techniques in the Ising limit. This confirms the effectiveness of our method. We analyze the stability of all the obtained supersolids and show that they will not be ruined by the quantum fluctuations. We observe that the quantum fluctuations in the stripe supersolid phase could be enhanced by the external field. We also discuss the relevance of our result with the experiment that may be realized with ultracold bosonic polar molecules in a triangular optical lattice.

关键词: supersolid, dipolar molecules, optical lattice

Abstract: We investigate the ground state of bosons with long-range interactions in the large U limit on a triangular lattice. By mapping this system to the spin-1/2 XXZ model in a magnetic field, we can apply the spin wave theory to this study. We demonstrate how to construct the phase diagrams within the spin wave theory. The phase diagrams are given in an extensive parameter region, where, besides the superfluid phase, diverse solid and supersolid phases are shown to exist in this model. Especially, we find that the phase diagram obtained in this method is consistent with the one obtained previously using numerical techniques in the Ising limit. This confirms the effectiveness of our method. We analyze the stability of all the obtained supersolids and show that they will not be ruined by the quantum fluctuations. We observe that the quantum fluctuations in the stripe supersolid phase could be enhanced by the external field. We also discuss the relevance of our result with the experiment that may be realized with ultracold bosonic polar molecules in a triangular optical lattice.

Key words: supersolid, dipolar molecules, optical lattice

中图分类号:  (Supersolid phases on lattices)

  • 67.80.kb
37.10.Jk (Atoms in optical lattices) 05.30.Jp (Boson systems)