Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials

By Y. Ando, Liang Fu. 2015

680 citations recorded by the source corpus.

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts, model Hamiltonians, and novel electronic properties of these new topological materials are explained. The key role of the symmetries that underlie their topological properties is elucidated. Key issues in their materials realizations are also discussed.

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

View Paper: https://www.semanticscholar.org/paper/df5e5bfc5dafa7fabe4020ae7a365200518dd83f

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. Y. Ando
3. Ashvin Vishwanath
4. J. Moore
5. N. P. Armitage
6. E. Mele
7. S. Ryu
8. J. C. Teo

In Condensed Matter Physics

1. Masatoshi Sato
2. Y. Ando
3. Ashvin Vishwanath
4. N. P. Armitage
5. E. Mele
6. J. Moore
7. Ching-Kai Chiu
8. S. Ryu

In Materials Chemistry

1. Masatoshi Sato
2. Y. Ando
3. Ashvin Vishwanath
4. J. Moore
5. N. P. Armitage
6. S. Ryu
7. J. C. Teo
8. A. Schnyder

Citations in the corpus

• Weyl and Dirac semimetals in three-dimensional solids (2017, background): “The inversion symmetry broken Pb-based rocksalts have been identified as topological crystalline insulators with surface states protected by mirror symmetry (Ando and Fu, 2015).”
• Topological superconductors: a review (2016, background): “SnTe is a topological crystalline insulator characterized by a nontrivial mirror Chern number [77, 78, 191], and it becomes a superconductor upon substituting 2% or more of Sn with In, which introduces hole carriers [204, 205].”
• Classification of topological quantum matter with symmetries (2015, background): “For real AZ symmetry classes, it was shown that the classification of topological defects depends only on a single number (Freedman et al., 2011; Teo and Kane, 2010b) s− δ = s− d+D modulo 8, (3.9) where δ = d−D is called the topological dimension that takes the role of the usual dimension d in the c”
• Exceptional topology of non-Hermitian systems (2019, neutral): “Later on, also considering conventional commuting unitary symmetries such as crystalline symmetries resulted in the identification of a plethora of additional (both gapped and nodal) topological band structures (Fu, 2011; Ando and Fu, 2015; Chiu et al. , 2016).”
• The physics of quantum materials (2017, background): “Also, considerable recent progress has happened at the intersection of crystalline symmetry with topology—for example, in the discovery of surface states in the topological crystalline insulator SnTe 98 .”
• Symmetry-protected topological photonic crystal in three dimensions (2015, neutral): “[10] Yoichi Ando and Liang Fu, “Topological crystalline insulators and topological superconductors: From concepts to materials,” arXiv preprint arXiv:1501.”