Unveiling a crystalline topological insulator in a Weyl semimetal with time-reversal symmetry

ARRACHEA, L.; ALIGIA, A.

PHYSICAL REVIEW B

AMER PHYSICAL SOC

Lugar: New York; Año: 2014 vol. 90 p. 125101 - 125107

1098-0121

We consider a natural generalization of the lattice model for a periodic array of two layers, A and B, of spinless electrons proposed by Fu [Phys. Rev. Lett. 106, 106802 (2011), 10.1103/PhysRevLett.106.106802] as a prototype for a crystalline insulator. This model has time-reversal symmetry and broken inversion symmetry. We show that when the intralayer next-nearest-neighbor hoppings t2a,a=A,B vanish, this model supports a Weyl semimetal phase for a wide range of the remaining model parameters. When the effect of t2a is considered, topological crystalline insulating phases take place within the Weyl semimetal one. By mapping to an effective Weyl Hamiltonian we derive some analytical results for the phase diagram as well as for the structure of the nodes in the spectrum of the Weyl semimetal.