TY - JOUR
T1 - Space group constraints on weak indices in topological insulators
AU - Varjas, Dániel
AU - De Juan, Fernando
AU - Lu, Yuan Ming
PY - 2017
Y1 - 2017
N2 - Lattice translation symmetry gives rise to a large class of "weak" topological insulators (TIs), characterized by translation-protected gapless surface states and dislocation bound states. In this work we show that space group symmetries lead to constraints on the weak topological indices that define these phases. In particular, we show that screw rotation symmetry enforces the Hall conductivity in planes perpendicular to the screw axis to be quantized in multiples of the screw rank, which generally applies to interacting systems. We further show that certain 3D weak indices associated with quantum spin Hall effects (class AII) are forbidden by the Bravais lattice and by glide or even-fold screw symmetries. These results put strong constraints on weak TI candidates in the experimental and numerical search for topological materials, based on the crystal structure alone.
AB - Lattice translation symmetry gives rise to a large class of "weak" topological insulators (TIs), characterized by translation-protected gapless surface states and dislocation bound states. In this work we show that space group symmetries lead to constraints on the weak topological indices that define these phases. In particular, we show that screw rotation symmetry enforces the Hall conductivity in planes perpendicular to the screw axis to be quantized in multiples of the screw rank, which generally applies to interacting systems. We further show that certain 3D weak indices associated with quantum spin Hall effects (class AII) are forbidden by the Bravais lattice and by glide or even-fold screw symmetries. These results put strong constraints on weak TI candidates in the experimental and numerical search for topological materials, based on the crystal structure alone.
UR - http://resolver.tudelft.nl/uuid:3fdf7a6a-5a19-44ab-b8b8-c2f2eacfa6bd
UR - http://www.scopus.com/inward/record.url?scp=85026477858&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.96.035115
DO - 10.1103/PhysRevB.96.035115
M3 - Article
AN - SCOPUS:85026477858
SN - 1098-0121
VL - 96
JO - Physical Review B (Condensed Matter and Materials Physics)
JF - Physical Review B (Condensed Matter and Materials Physics)
IS - 3
M1 - 035115
ER -