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

Title: Topology of Disconnected Elementary Band Representations


Not provided.

; ; ; ; ; ; ;
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
DOE Contract Number:  
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 26; Journal ID: ISSN 0031-9007
American Physical Society (APS)
Country of Publication:
United States

Citation Formats

Cano, Jennifer, Bradlyn, Barry, Wang, Zhijun, Elcoro, L., Vergniory, M. G., Felser, C., Aroyo, M. I., and Bernevig, B. Andrei. Topology of Disconnected Elementary Band Representations. United States: N. p., 2018. Web. doi:10.1103/physrevlett.120.266401.
Cano, Jennifer, Bradlyn, Barry, Wang, Zhijun, Elcoro, L., Vergniory, M. G., Felser, C., Aroyo, M. I., & Bernevig, B. Andrei. Topology of Disconnected Elementary Band Representations. United States. doi:10.1103/physrevlett.120.266401.
Cano, Jennifer, Bradlyn, Barry, Wang, Zhijun, Elcoro, L., Vergniory, M. G., Felser, C., Aroyo, M. I., and Bernevig, B. Andrei. Fri . "Topology of Disconnected Elementary Band Representations". United States. doi:10.1103/physrevlett.120.266401.
title = {Topology of Disconnected Elementary Band Representations},
author = {Cano, Jennifer and Bradlyn, Barry and Wang, Zhijun and Elcoro, L. and Vergniory, M. G. and Felser, C. and Aroyo, M. I. and Bernevig, B. Andrei},
abstractNote = {Not provided.},
doi = {10.1103/physrevlett.120.266401},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 26,
volume = 120,
place = {United States},
year = {2018},
month = {6}

Works referenced in this record:

Topological quantum chemistry
journal, July 2017

  • Bradlyn, Barry; Elcoro, L.; Cano, Jennifer
  • Nature, Vol. 547, Issue 7663
  • DOI: 10.1038/nature23268

Building blocks of topological quantum chemistry: Elementary band representations
journal, January 2018

Wannier representation of Z 2 topological insulators
journal, January 2011

Smooth gauge for topological insulators
journal, March 2012

Maximally localized Wannier functions: Theory and applications
journal, October 2012

  • Marzari, Nicola; Mostofi, Arash A.; Yates, Jonathan R.
  • Reviews of Modern Physics, Vol. 84, Issue 4
  • DOI: 10.1103/RevModPhys.84.1419

Compactly supported Wannier functions and algebraic K -theory
journal, March 2017

Quantum Spin Hall Effect in Graphene
journal, November 2005

Topological invariants of time-reversal-invariant band structures
journal, March 2007

Topological insulators with inversion symmetry
journal, July 2007

Topological Insulators in Three Dimensions
journal, March 2007

Topological phases and the quantum spin Hall effect in three dimensions
journal, May 2009

Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006

  • Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C.
  • Science, Vol. 314, Issue 5806, p. 1757-1761
  • DOI: 10.1126/science.1133734

Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1xSbx
journal, July 2008

  • Teo, Jeffrey C. Y.; Fu, Liang; Kane, C. L.
  • Physical Review B, Vol. 78, Issue 4, Article No. 045426
  • DOI: 10.1103/PhysRevB.78.045426

Topological Crystalline Insulators
journal, March 2011

Topological crystalline materials: General formulation, module structure, and wallpaper groups
journal, June 2017

Topological Phases Protected by Point Group Symmetry
journal, February 2017

Symmetry Specification of Bands in Solids
journal, September 1980

Band representations of space groups
journal, September 1982

Symmetry and Analyticity of Energy Bands in Solids
journal, August 1988

Duals of crystallographic groups. Band and quasi-band representations
journal, April 1993

  • Bacry, Henri
  • Communications in Mathematical Physics, Vol. 153, Issue 2
  • DOI: 10.1007/BF02096648

Physical Equivalence of Energy Bands in Solids
journal, February 1992

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

Double crystallographic groups and their representations on the Bilbao Crystallographic Server
journal, September 2017

  • Elcoro, Luis; Bradlyn, Barry; Wang, Zhijun
  • Journal of Applied Crystallography, Vol. 50, Issue 5
  • DOI: 10.1107/S1600576717011712

Bilbao Crystallographic Server: I. Databases and crystallographic computing programs
journal, January 2006

  • Aroyo, Mois Ilia; Perez-Mato, Juan Manuel; Capillas, Cesar
  • Zeitschrift für Kristallographie - Crystalline Materials, Vol. 221, Issue 1
  • DOI: 10.1524/zkri.2006.221.1.15

Bilbao Crystallographic Server. II. Representations of crystallographic point groups and space groups
journal, March 2006

  • Aroyo, Mois I.; Kirov, Asen; Capillas, Cesar
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 62, Issue 2
  • DOI: 10.1107/S0108767305040286

Connectivity of energy bands in crystals
journal, March 1999

Elementary energy bands in crystals are connected
journal, February 2001

Berry’s phase for energy bands in solids
journal, June 1989

Time reversal polarization and a Z 2 adiabatic spin pump
journal, November 2006

Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection
journal, August 2011

Wannier center sheets in topological insulators
journal, March 2014

Wilson-loop characterization of inversion-symmetric topological insulators
journal, April 2014

Hourglass fermions
journal, April 2016

  • Wang, Zhijun; Alexandradinata, A.; Cava, R. J.
  • Nature, Vol. 532, Issue 7598
  • DOI: 10.1038/nature17410

Topological Insulators from Group Cohomology
journal, April 2016

Quantized electric multipole insulators
journal, July 2017

  • Benalcazar, Wladimir A.; Bernevig, B. Andrei; Hughes, Taylor L.
  • Science, Vol. 357, Issue 6346
  • DOI: 10.1126/science.aah6442

Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice
journal, August 2007

Flat Chern Band in a Two-Dimensional Organometallic Framework
journal, March 2013

Symmetry classification of energy bands in graphene
journal, March 2012

Topological Surface States in Three-Dimensional Magnetic Insulators
journal, October 2008

Simplified LCAO Method for the Periodic Potential Problem
journal, June 1954

Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material
journal, June 2017

Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry
journal, September 2014

Symmetry-based indicators of band topology in the 230 space groups
journal, June 2017

Direct measurement of the Zak phase in topological Bloch bands
journal, November 2013

  • Atala, Marcos; Aidelsburger, Monika; Barreiro, Julio T.
  • Nature Physics, Vol. 9, Issue 12
  • DOI: 10.1038/nphys2790

Topological Thouless pumping of ultracold fermions
journal, January 2016

  • Nakajima, Shuta; Tomita, Takafumi; Taie, Shintaro
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3622