SU(3) topological insulators in the honeycomb lattice
We investigate realizations of topological insulators with spin-1 bosons loaded in a honeycomb optical lattice and subjected to a SU ( 3 ) spin-orbit coupling—a situation which can be realized experimentally using cold atomic gases. In this paper, we focus on the topological properties of the...
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| Main Authors: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
2019
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/103488 http://hdl.handle.net/10220/47327 |
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| 機構: | Nanyang Technological University |
| 語言: | English |
| 總結: | We investigate realizations of topological insulators with spin-1 bosons loaded in a honeycomb optical lattice and subjected to a
SU
(
3
)
spin-orbit coupling—a situation which can be realized experimentally using cold atomic gases. In this paper, we focus on the topological properties of the single-particle band structure, namely, Chern numbers (lattice with periodic boundary conditions) and edge states (lattice with strip geometry) and their connection to time-reversal symmetry and the sublattice symmetry. While
SU
(
2
)
spin-orbit couplings always lead to time-reversal symmetric tight-binding models, and thereby to topologically trivial band structures, suitable
SU
(
3
)
spin-orbit couplings can break time-reversal symmetry and lead to topologically nontrivial bulk band structures and to edge states in the strip geometry. In addition, we show that one can trigger a series of topological transitions (i.e., integer changes of the Chern numbers) that are specific to the geometry of the honeycomb lattice by varying a single parameter in the Hamiltonian. |
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