TY - JOUR
T1 - Anomalous Quasiparticle Symmetries and Non-Abelian Defects on Symmetrically Gapped Surfaces of Weak Topological Insulators
AU - Mross, D.F.
AU - Essin, A.
AU - Alicea, J.
AU - Stern, Adi
N1 - NSF [DMR-1341822]; Alfred P. Sloan Foundation; Caltech Institute for Quantum Information and Matter, a NSF Physics Frontiers Center; Gordon and Betty Moore Foundation; Walter Burke Institute for Theoretical Physics at Caltech; Microsoft Station Q; European Research Council under the European Unions Seventh Framework Programme (FP7)/ERC Project MUNATOP; US-Israel Binational Science Foundation; Minerva Foundation We gratefully acknowledge Xie Chen and Michael Levin for valuable discussions. This work was supported by the NSF through Grant No. DMR-1341822 (J. A.); the Alfred P. Sloan Foundation (J. A.); the Caltech Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (D. F. M., A. E., and J. A.); the Walter Burke Institute for Theoretical Physics at Caltech; and Microsoft Station Q (A. S.), the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013)/ERC Project MUNATOP (A. S.), the US-Israel Binational Science Foundation, and the Minerva Foundation (A. S.).
PY - 2016/1/22
Y1 - 2016/1/22
N2 - We show that boundaries of 3D weak topological insulators can become gapped by strong interactions while preserving all symmetries, leading to Abelian surface topological order. The anomalous nature of weak topological insulator surfaces manifests itself in a nontrivial action of symmetries on the quasiparticles; most strikingly, translations change the anyon types in a manner impossible in strictly 2D systems with the same symmetry. As a further consequence, screw dislocations form non-Abelian defects that trap Z4 parafermion zero modes.
AB - We show that boundaries of 3D weak topological insulators can become gapped by strong interactions while preserving all symmetries, leading to Abelian surface topological order. The anomalous nature of weak topological insulator surfaces manifests itself in a nontrivial action of symmetries on the quasiparticles; most strikingly, translations change the anyon types in a manner impossible in strictly 2D systems with the same symmetry. As a further consequence, screw dislocations form non-Abelian defects that trap Z4 parafermion zero modes.
UR - http://www.scopus.com/inward/record.url?scp=84956669828&partnerID=8YFLogxK
U2 - https://doi.org/10.1103/PhysRevLett.116.036803
DO - https://doi.org/10.1103/PhysRevLett.116.036803
M3 - مقالة
SN - 0031-9007
VL - 116
JO - Physical review letters
JF - Physical review letters
IS - 3
M1 - 036803
ER -