期刊
SCIENTIFIC REPORTS
卷 4, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/srep04613
关键词
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资金
- National Basic Research Program of China [2012CB921503, 2013CB632904]
- National Nature Science Foundation of China [1134006]
- Academic Program Development of Jiangsu Higher Education (PAPD)
- China Postdoctoral Science Foundation [2012M511249, 2013T60521]
Artificial honeycomb lattices with Dirac cone dispersion provide a macroscopic platform to study the massless Dirac quasiparticles and their novel geometric phases. In this paper, a quadruple-degenerate state is achieved at the center of the Brillouin zone in a two-dimensional honeycomb lattice phononic crystal, which is a result of accidental degeneracy of two double-degenerate states. In the vicinity of the quadruple-degenerate state, the dispersion relation is linear. Such quadruple degeneracy is analyzed by rigorous representation theory of groups. Using (k) triple over dot (p) over right arrow method, a reduced Hamiltonian is obtained to describe the linear Dirac dispersion relations of this quadruple-degenerate state, which is well consistent with the simulation results. Near such accidental degeneracy, we observe some unique properties in wave propagating, such as defect-insensitive propagating character and the Talbot effect.
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