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Title: Topology of Disconnected Elementary Band Representations

Journal Article · · Physical Review Letters

Sponsoring Organization:
USDOE
Grant/Contract Number:
de-sc0016239
OSTI ID:
1457495
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 120 Journal Issue: 26; ISSN 0031-9007
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 91 works
Citation information provided by
Web of Science

References (46)

Duals of crystallographic groups. Band and quasi-band representations journal April 1993
Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material journal June 2017
Wannier center sheets in topological insulators journal March 2014
Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection journal August 2011
Flat Chern Band in a Two-Dimensional Organometallic Framework journal March 2013
Maximally localized Wannier functions: Theory and applications journal October 2012
Time reversal polarization and a Z 2 adiabatic spin pump journal November 2006
Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1−xSbx journal July 2008
Graph theory data for topological quantum chemistry journal August 2017
Topological Insulators from Group Cohomology journal April 2016
Hourglass fermions journal April 2016
Topological insulators with inversion symmetry journal July 2007
The \mathbb{Z}_{2} network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers and corner multifractality journal June 2010
Simplified LCAO Method for the Periodic Potential Problem journal June 1954
Band representations of space groups journal September 1982
Double crystallographic groups and their representations on the Bilbao Crystallographic Server journal September 2017
Quantum Spin Hall Effect in Graphene journal November 2005
Topological Phases Protected by Point Group Symmetry journal February 2017
Wilson-loop characterization of inversion-symmetric topological insulators journal April 2014
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells journal December 2006
Bilbao Crystallographic Server: I. Databases and crystallographic computing programs journal January 2006
Berry’s phase for energy bands in solids journal June 1989
Physical Equivalence of Energy Bands in Solids journal February 1992
Topological Crystalline Insulators journal March 2011
Bilbao Crystallographic Server. II. Representations of crystallographic point groups and space groups journal March 2006
Symmetry classification of energy bands in graphene journal March 2012
Topological quantum chemistry journal July 2017
Topological Insulators in Three Dimensions journal March 2007
Connectivity of energy bands in crystals journal March 1999
Topological Surface States in Three-Dimensional Magnetic Insulators journal October 2008
Band connectivity for topological quantum chemistry: Band structures as a graph theory problem journal January 2018
Topological crystalline materials: General formulation, module structure, and wallpaper groups journal June 2017
Symmetry and Analyticity of Energy Bands in Solids journal August 1988
Symmetry Specification of Bands in Solids journal September 1980
Symmetry-based indicators of band topology in the 230 space groups journal June 2017
Elementary energy bands in crystals are connected journal February 2001
Quantized electric multipole insulators journal July 2017
Building blocks of topological quantum chemistry: Elementary band representations journal January 2018
Topological phases and the quantum spin Hall effect in three dimensions journal May 2009
Compactly supported Wannier functions and algebraic K -theory journal March 2017
Wannier representation of Z 2 topological insulators journal January 2011
Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry journal September 2014
Topological invariants of time-reversal-invariant band structures journal March 2007
Topological Thouless pumping of ultracold fermions journal January 2016
Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice journal August 2007
Direct measurement of the Zak phase in topological Bloch bands journal November 2013