Reference health
Quantitative mappings between symmetry and topology in solids
50/50 checkable references clean · checked 2026-07-23
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
5 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 50 checked references that resolve
resolves10.1103/PhysRevLett.49.405
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
resolves10.1103/PhysRevLett.50.1153
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
resolves10.1103/PhysRevLett.59.799
Rigorous results on valence-bond ground states in antiferromagnets
resolves10.1103/PhysRevLett.95.146802
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Topological Order and the Quantum Spin Hall Effect
resolves10.1103/PhysRevB.78.195125
Classification of topological insulators and superconductors in three spatial dimensions
resolves10.1103/PhysRevB.80.155131
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
resolves10.1103/PhysRevB.86.125119
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
resolves10.1103/PhysRevLett.61.2015
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
resolves10.1103/PhysRevB.85.045104
Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
resolves10.1126/science.1133734
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
resolves10.1126/science.1234414
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
resolves10.1038/nmat3828
Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator
resolves10.1126/science.1256815
Quantum spin Hall effect in two-dimensional transition metal dichalcogenides
resolves10.1038/nphys1270
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
resolves10.1126/science.1173034
Experimental Realization of a Three-Dimensional Topological Insulator, Bi
<sub>2</sub>
Te
<sub>3</sub>
resolves10.1038/nature08234
A tunable topological insulator in the spin helical Dirac transport regime
resolves10.1038/ncomms2191
Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
resolves10.1126/sciadv.1602415
Experimental evidence of hourglass fermion in the candidate nonsymmorphic topological insulator KHgSb
resolves10.1103/PhysRevB.86.115112
Bulk topological invariants in noninteracting point group symmetric insulators
resolves10.1038/s41467-017-00133-2
Symmetry-based indicators of band topology in the 230 space groups
resolves10.1103/PhysRevB.97.035138
Band connectivity for topological quantum chemistry: Band structures as a graph theory problem
resolves10.1103/PhysRevB.55.1142
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
resolves10.1103/PhysRevB.78.045426
Surface states and topological invariants in three-dimensional topological insulators: Application to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Bi</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mtext>Sb</mml:mtext></mml:mrow><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math>
resolves10.1103/PhysRevLett.119.246402
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>d</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>
-Dimensional Edge States of Rotation Symmetry Protected Topological States
resolves10.1103/PhysRevB.48.13115
<i>Ab initio</i>molecular dynamics for open-shell transition metals
resolves10.1016/0927-0256(96)00008-0
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
resolves10.1103/PhysRevB.94.155148
Hourglass fermion surface states in stacked topological insulators with nonsymmorphic symmetry
resolves10.1103/PhysRevB.96.205106
Building crystalline topological phases from lower-dimensional states
resolves10.1103/PhysRevX.8.031070
Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators
The 5 references without a DOI — listed, not checked
no DOI — not checkedFang, C. & Fu, L. Rotation anomaly and topological crystalline insulators. Preprint at https://arxiv.org/abs/1709.01929 (2017).
no DOI — not checkedWieder, B. J. et al. Wallpaper fermions and the topological dirac insulator. Preprint at https://arxiv.org/abs/1705.01617 (2017).
no DOI — not checkedHahn, T. International Tables for Crystallography. (International Union of Crystallography by Kluwer Academic Publishers, Dordrecht, London, 2002).
no DOI — not checkedKruthoff, J., de Boer, J., van Wezel, J., Kane, C. L. & Slager, R.-J. Topological classification of crystalline insulators through band structure combinatorics. Phys. Rev. X 7, 041069 (2017).
no DOI — not checkedSong, H., Huang, S.-J., Fu, L. & Hermele, M. Topological phases protected by point group symmetry. Phys. Rev. X 7, 011020 (2017).
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