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

Title: Building crystalline topological phases from lower-dimensional states


Not provided.

; ; ;
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
DOE Contract Number:  
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 20; Journal ID: ISSN 2469-9950
American Physical Society (APS)
Country of Publication:
United States
Materials Science; Physics

Citation Formats

Huang, Sheng-Jie, Song, Hao, Huang, Yi-Ping, and Hermele, Michael. Building crystalline topological phases from lower-dimensional states. United States: N. p., 2017. Web. doi:10.1103/physrevb.96.205106.
Huang, Sheng-Jie, Song, Hao, Huang, Yi-Ping, & Hermele, Michael. Building crystalline topological phases from lower-dimensional states. United States. doi:10.1103/physrevb.96.205106.
Huang, Sheng-Jie, Song, Hao, Huang, Yi-Ping, and Hermele, Michael. Wed . "Building crystalline topological phases from lower-dimensional states". United States. doi:10.1103/physrevb.96.205106.
title = {Building crystalline topological phases from lower-dimensional states},
author = {Huang, Sheng-Jie and Song, Hao and Huang, Yi-Ping and Hermele, Michael},
abstractNote = {Not provided.},
doi = {10.1103/physrevb.96.205106},
journal = {Physical Review B},
issn = {2469-9950},
number = 20,
volume = 96,
place = {United States},
year = {2017},
month = {11}

Works referenced in this record:

Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
journal, October 2009

Entanglement spectrum of a topological phase in one dimension
journal, February 2010

Topological phases of fermions in one dimension
journal, February 2011

Topological phases of one-dimensional fermions: An entanglement point of view
journal, February 2011

Classification of gapped symmetric phases in one-dimensional spin systems
journal, January 2011

Classifying quantum phases using matrix product states and projected entangled pair states
journal, October 2011

Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013

Braiding statistics approach to symmetry-protected topological phases
journal, September 2012

Colloquium: Topological insulators
journal, November 2010

Three-Dimensional Topological Insulators
journal, March 2011

Topological insulators and superconductors
journal, October 2011

Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010

Symmetry-Protected Topological Phases of Quantum Matter
journal, March 2015

Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
journal, March 2015

Symmetry-protected topological phases, generalized Laughlin argument, and orientifolds
journal, October 2014

Symmetry-protected topological states of interacting fermions and bosons
journal, December 2014

CPT theorem and classification of topological insulators and superconductors
journal, December 2014

Theory of interacting topological crystalline insulators
journal, August 2015

Topological phases protected by reflection symmetry and cross-cap states
journal, May 2015

Bosonic symmetry-protected topological phases with reflection symmetry
journal, December 2015

Fermionic symmetry protected topological phases and cobordisms
journal, December 2015

  • Kapustin, Anton; Thorngren, Ryan; Turzillo, Alex
  • Journal of High Energy Physics, Vol. 2015, Issue 12
  • DOI: 10.1007/JHEP12(2015)052

Topological crystalline Bose insulator in two dimensions via entanglement spectrum
journal, November 2015

Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators
journal, December 2015

Correlation effects on topological crystalline insulators
journal, August 2015

Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
journal, September 2015

Distinct Trivial Phases Protected by a Point-Group Symmetry in Quantum Spin Chains
journal, May 2015

Translational Symmetry and Microscopic Constraints on Symmetry-Enriched Topological Phases: A View from the Surface
journal, December 2016

Interaction-enabled topological crystalline phases
journal, March 2016

Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
journal, February 2016

Anomalies and symmetry fractionalization in reflection-symmetric topological order
journal, November 2016

Topological Phases Protected by Point Group Symmetry
journal, February 2017

Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
journal, July 2017

Coupled-layer description of topological crystalline insulators
journal, September 2016

Anyon condensation and a generic tensor-network construction for symmetry-protected topological phases
journal, March 2017

Two soluble models of an antiferromagnetic chain
journal, December 1961

Commensurability, Excitation Gap, and Topology in Quantum Many-Particle Systems on a Periodic Lattice
journal, February 2000

Degeneracy of the ground-state of antiferromagnetic spin-1/2 Hamiltonians
journal, March 2002

  • Misguich, G.; Lhuillier, C.; Mambrini, M.
  • The European Physical Journal B, Vol. 26, Issue 2
  • DOI: 10.1140/epjb/e20020078

Lieb-Schultz-Mattis in higher dimensions
journal, March 2004

Topological order and absence of band insulators at integer filling in non-symmorphic crystals
journal, April 2013

  • Parameswaran, Siddharth A.; Turner, Ari M.; Arovas, Daniel P.
  • Nature Physics, Vol. 9, Issue 5
  • DOI: 10.1038/nphys2600

Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
journal, November 2015

  • Watanabe, Haruki; Po, Hoi Chun; Vishwanath, Ashvin
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 47
  • DOI: 10.1073/pnas.1514665112

All Majorana Models with Translation Symmetry are Supersymmetric
journal, October 2016

Lattice Homotopy Constraints on Phases of Quantum Magnets
journal, September 2017

Rigorous results on valence-bond ground states in antiferromagnets
journal, August 1987