Antiferromagnetic topological insulators
By Roger S. K. Mong, A. Essin, J. Moore. 2010
439 citations recorded by the source corpus.
We consider antiferromagnets breaking both time-reversal $(\ensuremath{\Theta})$ and a primitive-lattice translational symmetry $({T}_{1/2})$ of a crystal but preserving the combination $S=\ensuremath{\Theta}{T}_{1/2}$. The $S$ symmetry leads to a ${\mathbb{Z}}_{2}$ topological classification of insulators, separating the ordinary insulator phase from the ``antiferromagnetic topological insulator'' phase. This state is similar to the ``strong'' topological insulator with time-reversal symmetry and shares with it such properties as a quantized magnetoelectric effect. However, for certain surfaces the surface states are intrinsically gapped with a half-quantum Hall effect $[{\ensuremath{\sigma}}_{xy}={e}^{2}/(2h)]$, which may aid experimental confirmation of $\ensuremath{\theta}=\ensuremath{\pi}$ quantized magnetoelectric coupling. Step edges on such a surface support gapless, chiral quantum wires. In closing we discuss GdBiPt as a possible example of this topological class.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/8a9a35ddb0dd3350d6402298b0f82d1132b94688
How researchers see this paper
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In Atomic and Molecular Physics, and Optics
- D. Vanderbilt
- Hsin Lin
- Arun Bansil
- Tanmoy Das
- Liang Fu
- Bogdan Andrei Bernevig
- Shoucheng Zhang
- H. Weng
In Condensed Matter Physics
- Liang Fu
- Hsin Lin
- Arun Bansil
- Tanmoy Das
- Shoucheng Zhang
- D. Vanderbilt
- Bogdan Andrei Bernevig
- H. Weng
Citations in the corpus
- Chemical Aspects of the Candidate Antiferromagnetic Topological Insulator MnBi2Te4 (2018, methodology): “Our recent joint theory–experiment study([32]) establishes MnBi2Te4 as the first 3D antiferromagnetic topological insulator (AFM TI) since a prediction of this state in 2010.([33]) The topological character of the band structure has been demonstrated by first-principles calculations, while the exper”
- Antiferromagnetic spintronics (2016, background): “Emerging materials with strong spin-orbit coupling such as antiferromagnetic topological insulators (Mong, Essin, and Moore, 2010; Bansil, Lin, and Das, 2016) or Weyl semimetals (Wan et al., 2011) could also be an inspiring research direction in the near future (Šmejkal, Jungwirth, and Sinova,…”
- Colloquium : Topological band theory (2016, background): “(Essin, Moore, and Vanderbilt 2009) For a commensurate antiferromagnetic insulator, the θ=π state can be obtained through the combination of time-reversal and lattice translational symmetries (Mong, Essin, and Moore 2010).”
- Dirac Surface States in Intrinsic Magnetic Topological Insulators EuSn2As2 and MnBi2nTe3n+1 (2019, background): “Z 2 TIs with the quantum spin Hall effect [4, 5, 6, 7]. The introduction of magnetism into the Z 2 TIs can produce more exotic topological quantum phenomena, such as the quantum anomalous Hall effect [8, 9, 10, 11, 12, 13, 14], axion insulator states [15, 16, 17, 18, 19, 20, 21] and chiral Majorana ”
- Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials (2016, background): “Time-reversal(TR-) symmetric [1,8–12], antiferromagnetic [13,14], and crystalline topological insulators [15–19] are examples of these symmetry-enriched topological classifications.”