# Bulk topological invariants in noninteracting point group symmetric insulators

## Author(s): Fang, Chen; Gilbert, Matthew J; Bernevig, Bogdan A

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1mv6w
DC FieldValueLanguage
dc.contributor.authorFang, Chen-
dc.contributor.authorGilbert, Matthew J-
dc.contributor.authorBernevig, Bogdan A-
dc.date.accessioned2020-10-30T19:20:44Z-
dc.date.available2020-10-30T19:20:44Z-
dc.date.issued2012-09-10en_US
dc.identifier.citationFang, Chen, Gilbert, Matthew J, Bernevig, B Andrei. (2012). Bulk topological invariants in noninteracting point group symmetric insulators. PHYSICAL REVIEW B, 86 (10.1103/PhysRevB.86.115112en_US
dc.identifier.issn2469-9950-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1mv6w-
dc.description.abstractWe survey various quantized bulk physical observables in two-and three-dimensional topological band insulators invariant under translational symmetry and crystallographic point group symmetries (PGS). In two-dimensional insulators, we show that (i) the Chern number of a C-n-invariant insulator can be determined, up to a multiple of n, by evaluating the eigenvalues of symmetry operators at high-symmetry points in the Brillouin zone; (ii) the Chern number of a C-n-invariant insulator is also determined, up to a multiple of n, by the C-n eigenvalue of the Slater determinant of a noninteracting many-body system; and (iii) the Chern number vanishes in insulators with dihedral point groups D-n, and the quantized electric polarization is a topological invariant for these insulators. In three-dimensional insulators, we show that (i) only insulators with point groups C-n, C-nh, and S-n PGS can have nonzero 3D quantum Hall coefficient and (ii) only insulators with improper rotation symmetries can have quantized magnetoelectric polarization P-3 in the term P3E center dot B, the axion term in the electrodynamics of the insulator (medium).en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW Ben_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleBulk topological invariants in noninteracting point group symmetric insulatorsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.86.115112-
dc.identifier.eissn2469-9969-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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