RECORD
Antiferromagnetic Dirac Semimetals in Two Dimensions
Mesoscale and Nanoscale Physics · Submitted 12 Sep 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Here we propose a general framework to classify stable 2D Dirac semimetals in spin-orbit coupled systems having the combined time-reversal and inversion symmetries, and show the existence of the stable Dirac points in 2D antiferromagnetic semimetals.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The search for symmetry-protected 2D Dirac semimetals analogous to graphene is important both for fundamental and practical interest. The 2D Dirac cones are protected by crystalline symmetries and magnetic ordering may destroy their robustness. Here we propose a general framework to classify stable 2D Dirac semimetals in spin-orbit coupled systems having the combined time-reversal and inversion symmetries, and show the existence of the stable Dirac points in 2D antiferromagnetic semimetals. Compared to 3D Dirac semimetals which fall into two distinct classes, Dirac semimetals in 2D with combined time-reversal and inversion symmetries belongs to single class which is closely related to the nonsymmorphic space group symmetries. We further provide a concrete model in antiferromagnetic semimetals which supports symmetry-protected 2D Dirac points. The symmetry breaking in such systems leads to 2D chiral topological states such as quantum anomalous Hall insulator and chiral topological superconductor phases.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The search for symmetry-protected 2D Dirac semimetals analogous to graphene is important both for fundamental and practical interest. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s1 | The 2D Dirac cones are protected by crystalline symmetries and magnetic ordering may destroy their robustness. | background 0.99 | 0.06 | 0.03 | hedged possibility 0.70 |
| s2 | Here we propose a general framework to classify stable 2D Dirac semimetals in spin-orbit coupled systems having the combined time-reversal and inversion symmetries, and show the existence of the stable Dirac points in 2D antiferromagnetic semimetals. | contribution 1.00 | 0.94 | 0.76 | asserted 0.99 |
| s3 | Compared to 3D Dirac semimetals which fall into two distinct classes, Dirac semimetals in 2D with combined time-reversal and inversion symmetries belongs to single class which is closely related to the nonsymmorphic space group symmetries. | result 0.84 | 0.72 | 0.13 | asserted 1.00 |
| s4 | We further provide a concrete model in antiferromagnetic semimetals which supports symmetry-protected 2D Dirac points. | contribution 0.82 | 0.93 | 0.20 | asserted 0.98 |
| s5 | The symmetry breaking in such systems leads to 2D chiral topological states such as quantum anomalous Hall insulator and chiral topological superconductor phases. | interpretation 0.69 | 0.59 | 0.16 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The search for symmetry-protected 2D Dirac semimetals analogous to graphene is important both for fundamental and practical interest. The 2D Dirac cones are protected by crystalline symmetries and magnetic ordering may destroy their robustness. Here we propose a general framework to classify stable 2D Dirac semimetals in spin-orbit coupled systems having the combined time-reversal and inversion symmetries, and show the existence of the stable Dirac points in 2D antiferromagnetic semimetals. Compared to 3D Dirac semimetals which fall into two distinct classes, Dirac semimetals in 2D with combined time-reversal and inversion symmetries belongs to single class which is closely related to the nonsymmorphic space group symmetries. We further provide a concrete model in antiferromagnetic semimetals which supports symmetry-protected 2D Dirac points. The symmetry breaking in such systems leads to 2D chiral topological states such as quantum anomalous Hall insulator and chiral topological superconductor phases.
Human review
How the literature uses it
2 arXiv papers cite this in 2 sentences
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.