Two topologically distinct Dirac-line semimetal phases and topological phase transitions in rhombohedrally stacked honeycomb lattices

Abstract

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.

References in corpus (16)

• The electronic properties of graphene
• Classification of topological insulators and superconductors in three spatial dimensions
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Merging of Dirac points in a two-dimensional crystal
• Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Zero modes of tight binding electrons on the honeycomb lattice
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Universal phase diagrams for the quantum spin Hall systems
• Band-Contact Lines in Electron Energy Spectrum of Graphite
• Evidence of Josephson-coupled superconducting regions at the interfaces of Highly Oriented Pyrolytic Graphite
• Magnetic gap opening in rhombohedral-stacked multilayer graphene from first principles
• Identification of a possible superconducting transition above room temperature in natural graphite crystals
• Intrinsic Superconductivity at 25 K in Highly Oriented Pyrolytic Graphite
• Bulk topology of line-nodal structures protected by space group symmetries in class AI
• Local magnetic measurements of permanent current paths in a natural graphite crystal

Cited by in corpus (3)

• Electronic structure and physical properties of candidate topological material GdAgGe
• Correlated topological flat bands in rhombohedral graphite
• Influence of surface band bending on a narrow band gap semiconductor: Tunneling atomic force studies of graphite with Bernal and rhombohedral stacking orders