Topological crystalline insulators.

By Liang Fu. Physical Review Letters, 2010

1,496 citations recorded by the source corpus.

The recent discovery of topological insulators has revived interest in the band topology of insulators. In this Letter, we extend the topological classification of band structures to include certain crystal point group symmetry. We find a class of three-dimensional "topological crystalline insulators" which have metallic surface states with quadratic band degeneracy on high symmetry crystal surfaces. These topological crystalline insulators are the counterpart of topological insulators in materials without spin-orbit coupling. Their band structures are characterized by new topological invariants. We hope this work will enlarge the family of topological phases in band insulators and stimulate the search for them in real materials.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/0342b8c37c750c6b3826c72b632ac70fa25cacb1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Masatoshi Sato
2. Nathan Goldman
3. Y. Ando
4. Flore K. Kunst
5. D. Vanderbilt
6. M. Rechtsman
7. Hsin Lin
8. T. Ozawa

In Condensed Matter Physics

1. Y. Ando
2. Masatoshi Sato
3. Liang Fu
4. T. Hughes
5. Bogdan Andrei Bernevig
6. Hsin Lin
7. Arun Bansil
8. Tanmoy Das

In Materials Chemistry

1. Y. Ando
2. Hsin Lin
3. Arun Bansil
4. Tanmoy Das
5. Masatoshi Sato
6. Liang Fu
7. M. Zahid Hasan
8. T. Hughes

Citations in the corpus

• Topological bands for ultracold atoms (2018, neutral): “These include topological invariants stabilized by crystalline lattice symmetries (Fu, 2011), and the Hopf insulator (Deng et al., 2013; Moore et al., 2008), which also relies on a form of translational symmetry for stability (Liu et al., 2017).”
• A review on non-Hermitian skin effect (2022, background): “Among them, the crystalline (or lattice) symmetryinduced topological phases of matter in particular have attracted tremendous attention [149],”
• Quantization of fractional corner charge in Cn -symmetric higher-order topological crystalline insulators (2018, background): “More generically, we can distinguish nontrivial topological classes arising from the Cn symmetry through the symmetry representations that the occupied energy bands take at the high symmetry points of the BZ (HSPs)[2, 44, 46, 47, 51, 56, 57].”
• Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions (2021, neutral): “[7] Liang Fu, “Topological crystalline insulators,” Phys.”