Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Building blocks of topological quantum chemistry: Elementary band representations

Journal Article · · Physical Review B

Not provided.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0016239
OSTI ID:
1540769
Journal Information:
Physical Review B, Vol. 97, Issue 3; ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (73)

Symmetry Specification of Bands in Solids September 1980
Band representations and symmetry types of bands in solids March 1981
Connectivity of energy bands in crystals March 1999
Elementary energy bands in crystalline solids May 2000
Elementary energy bands in crystals are connected February 2001
Topological quantum chemistry July 2017
Topological order and absence of band insulators at integer filling in non-symmorphic crystals April 2013
Filling-enforced quantum band insulators in spin-orbit coupled crystals April 2016
Double crystallographic groups and their representations on the Bilbao Crystallographic Server September 2017
Band connectivity for topological quantum chemistry: Band structures as a graph theory problem January 2018
Graph theory data for topological quantum chemistry August 2017
Symmetry and Analyticity of Energy Bands in Solids August 1988
Duals of crystallographic groups. Band and quasi-band representations April 1993
Physical Equivalence of Energy Bands in Solids February 1992
Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection August 2011
Wannier representation of Z 2 topological insulators January 2011
Berry-phase description of topological crystalline insulators May 2016
Topological Insulators from Group Cohomology April 2016
Quantized electric multipole insulators July 2017
Topological insulators with inversion symmetry July 2007
Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1−xSbx July 2008
Inversion-symmetric topological insulators June 2011
Bulk topological invariants in noninteracting point group symmetric insulators September 2012
Entanglement and inversion symmetry in topological insulators December 2010
Topological Crystalline Insulators March 2011
Quantized response and topology of magnetic insulators with inversion symmetry April 2012
Topological classification with additional symmetries from Clifford algebras September 2013
Classification of topological insulators and superconductors in the presence of reflection symmetry August 2013
Topological classification of crystalline insulators with space group symmetry August 2013
Topological nonsymmorphic crystalline insulators August 2014
Topology of crystalline insulators and superconductors October 2014
Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry September 2014
New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic April 2015
Z 2 topology in nonsymmorphic crystalline insulators: Möbius twist in surface states April 2015
Topological magnetic crystalline insulators and corepresentation theory March 2015
Classification of topological quantum matter with symmetries August 2016
Classification of topological crystalline insulators based on representation theory January 2016
Symmetry-protected topological photonic crystal in three dimensions January 2016
Dirac Semimetal in Three Dimensions April 2012
Protected boundary states in gapless topological phases June 2013
Classification of reflection-symmetry-protected topological semimetals and nodal superconductors November 2014
Classification of stable three-dimensional Dirac semimetals with nontrivial topology September 2014
Bulk Dirac Points in Distorted Spinels January 2014
Classification of crystalline topological semimetals with an application to Na 3 Bi April 2015
Dirac Line Nodes in Inversion-Symmetric Crystals July 2015
Topological charges of three-dimensional Dirac semimetals with rotation symmetry October 2015
Dirac Semimetals in Two Dimensions September 2015
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals July 2016
Ca 3 P 2 and other topological semimetals with line nodes and drumhead surface states May 2016
Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups August 2016
Spin-orbit semimetals in the layer groups October 2016
Double Dirac Semimetals in Three Dimensions May 2016
Nonsymmorphic symmetry-required band crossings in topological semimetals November 2016
The space group classification of topological band-insulators December 2012
Topological Classification of Crystalline Insulators through Band Structure Combinatorics December 2017
Symmetry-based indicators of band topology in the 230 space groups June 2017
Periodic table for topological insulators and superconductors January 2009
Twisted Equivariant Matter March 2013
Compactly supported Wannier functions and algebraic K -theory March 2017
Topological crystalline materials: General formulation, module structure, and wallpaper groups June 2017
Comments on the decomposition of the regular representation of crystallographic space groups into band representations February 2000
Analytic Properties of Bloch Waves and Wannier Functions August 1959
Wannier functions in one-dimensional disordered systems: Application to fractionally charged solitons October 1982
Bilbao Crystallographic Server. II. Representations of crystallographic point groups and space groups March 2006
Bilbao Crystallographic Server: I. Databases and crystallographic computing programs January 2006
Accidental Degeneracy in the Energy Bands of Crystals August 1937
Solitons in Polyacetylene June 1979
Elementary Excitations of a Linearly Conjugated Diatomic Polymer November 1982
Electronic Structures of Polyatomic Molecules and Valence. IV. Electronic States, Quantum Theory of the Double Bond February 1933
Quantum Spin Hall Effect in Graphene November 2005
Berry’s phase for energy bands in solids June 1989
Theory of polarization of crystalline solids January 1993
Representation Theory January 2004