skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 journal September 1980
Band representations and symmetry types of bands in solids journal March 1981
Connectivity of energy bands in crystals journal March 1999
Elementary energy bands in crystalline solids journal May 2000
Elementary energy bands in crystals are connected journal February 2001
Topological quantum chemistry journal July 2017
Topological order and absence of band insulators at integer filling in non-symmorphic crystals journal April 2013
Filling-enforced quantum band insulators in spin-orbit coupled crystals journal April 2016
Double crystallographic groups and their representations on the Bilbao Crystallographic Server journal September 2017
Band connectivity for topological quantum chemistry: Band structures as a graph theory problem journal January 2018
Graph theory data for topological quantum chemistry journal August 2017
Symmetry and Analyticity of Energy Bands in Solids journal August 1988
Duals of crystallographic groups. Band and quasi-band representations journal April 1993
Physical Equivalence of Energy Bands in Solids journal February 1992
Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection journal August 2011
Wannier representation of Z 2 topological insulators journal January 2011
Berry-phase description of topological crystalline insulators journal May 2016
Topological Insulators from Group Cohomology journal April 2016
Quantized electric multipole insulators journal July 2017
Topological insulators with inversion symmetry journal July 2007
Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1xSbx journal July 2008
Inversion-symmetric topological insulators journal June 2011
Bulk topological invariants in noninteracting point group symmetric insulators journal September 2012
Entanglement and inversion symmetry in topological insulators journal December 2010
Topological Crystalline Insulators journal March 2011
Quantized response and topology of magnetic insulators with inversion symmetry journal April 2012
Topological classification with additional symmetries from Clifford algebras journal September 2013
Classification of topological insulators and superconductors in the presence of reflection symmetry journal August 2013
Topological classification of crystalline insulators with space group symmetry journal August 2013
Topological nonsymmorphic crystalline insulators journal August 2014
Topology of crystalline insulators and superconductors journal October 2014
Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry journal September 2014
New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic journal April 2015
Z 2 topology in nonsymmorphic crystalline insulators: Möbius twist in surface states journal April 2015
Topological magnetic crystalline insulators and corepresentation theory journal March 2015
Classification of topological quantum matter with symmetries journal August 2016
Classification of topological crystalline insulators based on representation theory journal January 2016
Symmetry-protected topological photonic crystal in three dimensions journal January 2016
Dirac Semimetal in Three Dimensions journal April 2012
Protected boundary states in gapless topological phases journal June 2013
Classification of reflection-symmetry-protected topological semimetals and nodal superconductors journal November 2014
Classification of stable three-dimensional Dirac semimetals with nontrivial topology journal September 2014
Bulk Dirac Points in Distorted Spinels journal January 2014
Classification of crystalline topological semimetals with an application to Na 3 Bi journal April 2015
Dirac Line Nodes in Inversion-Symmetric Crystals journal July 2015
Topological charges of three-dimensional Dirac semimetals with rotation symmetry journal October 2015
Dirac Semimetals in Two Dimensions journal September 2015
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals journal July 2016
Ca 3 P 2 and other topological semimetals with line nodes and drumhead surface states journal May 2016
Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups journal August 2016
Spin-orbit semimetals in the layer groups journal October 2016
Double Dirac Semimetals in Three Dimensions journal May 2016
Nonsymmorphic symmetry-required band crossings in topological semimetals journal November 2016
The space group classification of topological band-insulators journal December 2012
Topological Classification of Crystalline Insulators through Band Structure Combinatorics journal December 2017
Symmetry-based indicators of band topology in the 230 space groups journal June 2017
Periodic table for topological insulators and superconductors
  • Kitaev, Alexei; Lebedev, Vladimir; Feigel’man, Mikhail
  • ADVANCES IN THEORETICAL PHYSICS: Landau Memorial Conference, AIP Conference Proceedings https://doi.org/10.1063/1.3149495
conference January 2009
Twisted Equivariant Matter journal March 2013
Compactly supported Wannier functions and algebraic K -theory journal March 2017
Topological crystalline materials: General formulation, module structure, and wallpaper groups journal June 2017
Comments on the decomposition of the regular representation of crystallographic space groups into band representations journal February 2000
Smooth gauge for topological insulators journal March 2012
Analytic Properties of Bloch Waves and Wannier Functions journal August 1959
Wannier functions in one-dimensional disordered systems: Application to fractionally charged solitons journal October 1982
Bilbao Crystallographic Server. II. Representations of crystallographic point groups and space groups journal March 2006
Bilbao Crystallographic Server: I. Databases and crystallographic computing programs journal January 2006
Accidental Degeneracy in the Energy Bands of Crystals journal August 1937
Solitons in Polyacetylene journal June 1979
Elementary Excitations of a Linearly Conjugated Diatomic Polymer journal November 1982
Electronic Structures of Polyatomic Molecules and Valence. IV. Electronic States, Quantum Theory of the Double Bond journal February 1933
Quantum Spin Hall Effect in Graphene journal November 2005
Berry’s phase for energy bands in solids journal June 1989
Theory of polarization of crystalline solids journal January 1993

Similar Records

Building blocks of topological quantum chemistry: Elementary band representations
Journal Article · Tue Jan 16 00:00:00 EST 2018 · Physical Review B · OSTI ID:1540769

Topology of Disconnected Elementary Band Representations
Journal Article · Fri Jun 01 00:00:00 EDT 2018 · Physical Review Letters · OSTI ID:1540769

Disconnected elementary band representations, fragile topology, and Wilson loops as topological indices: An example on the triangular lattice
Journal Article · Fri Jan 25 00:00:00 EST 2019 · Physical Review. B · OSTI ID:1540769

Related Subjects