期刊
NEW JOURNAL OF PHYSICS
卷 17, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/7/073031
关键词
topological order; vibration; crystal
资金
- EPSRC
- National Science Council of Taiwan [NSC 101-2112-M-008-015-MY3, NSC 103-2918-I-008-012]
- Ministry of Education, Taiwan
- EPSRC [EP/J018473/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/J018473/1] Funding Source: researchfish
We show that topological order and vibrational edge modes can exist in a classical mechanical system consisting of a two-dimensional honeycomb lattice of masses and springs. The band structure shows the existence of Dirac cones and unconventional edge states that are similar to the vibrational modes in graphene. Interestingly, as the system is placed on a constantly rotational coordinate system, the Coriolis force resulting from the non-inertial reference frame introduces time-reversal symmetry breaking and leads to topologically nontrivial band gaps. The nontrivial topological orders are further verified by the calculation of Chern numbers for corresponding bands.
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