期刊
JOURNAL OF LOW TEMPERATURE PHYSICS
卷 191, 期 1-2, 页码 35-48出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10909-017-1846-3
关键词
Graphite; Topological matter; Flat bands
资金
- Academy of Finland Centre of Excellence and Key Funding programs [284594, 305256]
- Academy of Finland (AKA) [305256, 305256] Funding Source: Academy of Finland (AKA)
Three-dimensional topological semimetals can support band crossings along one-dimensional curves in the momentum space (nodal lines or Dirac lines) protected by structural symmetries and topology. We consider rhombohedrally (ABC) stacked honeycomb lattices supporting Dirac lines protected by time-reversal, inversion and spin rotation symmetries. For typical band structure parameters there exists a pair of nodal lines in the momentum space extending through the whole Brillouin zone in the stacking direction. We show that these Dirac lines are topologically distinct from the usual Dirac lines which form closed loops inside the Brillouin zone. In particular, an energy gap can be opened only by first merging the Dirac lines going through the Brillouin zone in a pairwise manner so that they turn into closed loops inside the Brillouin zone, and then by shrinking these loops into points. We show that this kind of topological phase transition can occur in rhombohedrally stacked honeycomb lattices by tuning the ratio of the tunneling amplitudes in the directions perpendicular and parallel to the layers. We also discuss the properties of the surface states in the different phases of the model.
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