Surface states in Dirac metals and topological crystalline insulators
arXiv:1805.11838 · doi:10.1103/PhysRevB.98.045140
Abstract
We reconsider the problem of surface states spectrum in type One Dirac metals. We find that the surface states, despite being gapped, always form branches terminating at Dirac points. Furthermore, we consider evolution of the surface states in the case, when rotational symmetry is broken, and as a result, Dirac points are gapped. We find, that in this case, special role is played by mirror symmetry relative to the plane connecting Dirac points. When it is present, the resulting gapped state is a topological crystalline insulator, which surface spectrum can contain either one or three Dirac points, two of which are protected solely by the mirror symmetry. Thus, the Dirac metal can be viewed as a topological phase transition between two phases with different mirror Chern numbers.
Submitted to Phys. Rev. B
References in corpus (11)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Classification of stable three-dimensional Dirac semimetals with nontrivial topology
- Surface States of the Topological Insulator Bi_{1-x}Sb_x
- Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
- Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2
- Z_2 and Chiral Anomalies in Topological Dirac Semimetals
- Topological Insulator to Dirac Semimetal Transition Driven by Sign Change of Spin-Orbit Coupling in Thallium Nitride
- Strain-induced quantum topological phase transitions in Na3Bi
- Time-reversal and rotation symmetry breaking superconductivity in Dirac materials
- Spin Texture and Mirror Chern number in Hg-Based Chalcogenides