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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 Department of Physics, Beijing Normal University, Beijing 100875, China;
2 School of Science, Xi'an Technological University, Xi'an 710032, China |
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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.
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Received: 16 November 2017
Revised: 23 February 2018
Accepted manuscript online:
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PACS:
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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67.25.dj
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(Superfluid transition and critical phenomena)
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37.10.Jk
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(Atoms in optical lattices)
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| Fund: 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). |
Corresponding Authors:
Su-Peng Kou
E-mail: spkou@bnu.edu.cn
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Cite this article:
Wen-yan Zhou(周雯琰), Ya-jie Wu(吴亚杰), Su-Peng Kou(寇谡鹏) Bogoliubov excitations in a Bose-Hubbard model on a hyperhoneycomb lattice 2018 Chin. Phys. B 27 050302
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