CoChat
Sign Up
Cited by 185Topological Materials and PhenomenaAdvanced Condensed Matter PhysicsPhysics of Superconductivity and Magnetism

Topological order and absence of band insulators at integer filling in non-symmorphic crystals

Open access
Parameswaran, Siddharth A., Turner, Ari M., Arovas, Daniel P., Vishwanath, Ashvin·2013·Nature Physics
DOI 10.1038/nphys2600
Open this paper in CoChat — free accountOpen PDF

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/nphys2600

Cites

39 of 39 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • This presents an example of a 'filling enforced semimetal' where the zone boundary degeneracy requires that electron count for a filled band actually results in a gapless state where the conduction and valence bands contact each other.

    “This presents an example of a 'filling enforced semimetal' (Parameswaran, 2015; Parameswaran et al. , 2013; Watanabe et al. , 2015) where the zone boundary degeneracy requires that electron count for a filled band actually results in a gapless state where the conduction and valence bands contact each other.”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Parameswaran et al., 2013

    The Band Theory discussion (p. 2) says that non-symmorphic symmetry prevents fewer than S bands from separating and gives an hcp example with enforced band contacts. Figure 2’s caption (p. 4) says those contacts require a minimum filling of S = 2 for a band insulator. Our copy does not specify that the contacts occur at the zone boundary, so it does not establish that part of the claim. (LLM, conf=0.83)

    Experimental — accuracy not yet measured

  • Screw symmetries lead to double degeneracy for all Bloch states on certain planes in the Brillouin zone.

    “It is known that screw symmetries lead to double degeneracy for all Bloch states on certain planes in the Brillouin zone (BZ).36,37”

    From Type-II Dirac photons (2017) · cites this paper as [37]

    The Band Theory section (p. 2) says nonsymmorphic symmetry prevents certain bands from being separated, and Fig. 2 (p. 4) shows screw-symmetry-enforced contacts between pairs of bands. The copy does not say that every Bloch state is doubly degenerate across particular Brillouin-zone planes; its discussion of invariant planes in the Fourier-Space Approach (p. 7) concerns a many-body degeneracy argument, not that claim. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

1 of the 40 references couldn’t be matched to a known paper.

Cited by

Sorted by citations

Related

Authors
Parameswaran, S. A., Turner, A. M., Arovas, D. P., & Vishwanath, A.
Affiliations
  • University of California, Berkeley (US)
  • Institute for Theoretical Physics Amsterdam (NL)
  • University of California San Diego (US)
  • Lawrence Berkeley National Laboratory (US)
Corresponding author
Vishwanath, Ashvin
ORCID
Venue
Nature Physics
Publisher
Springer Science and Business Media LLC
Published
2013-04-14
Volume
9
Issue
5
Pages
299-303
ISSN
  • 1745-2473 (ISSN-L)
  • 1745-2481
DOI
10.1038/nphys2600
OpenAlex
W1975117261
Cited by
184
References
40
Citations by year
2026: 1 · 2025: 4 · 2024: 19 · 2023: 9 · 2022: 9 · 2021: 18 · 2020: 17 · 2019: 16 · 2018: 20 · 2017: 27 · 2016: 27 · 2015: 12 · 2014: 3 · 2013: 2
FWCI
7.55
Type
journal article
Language
en
Open access
Licence
www.springer.com/tdm (tdm)
Locations
  • Nature Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
Keywords
topological order, band insulator, integer filling, Mott insulator, lattice symmetry, gapped ground states, quantum spin systems, fractionalized excitations, three-dimensional crystals

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review