Interacting fermionic topological insulators/superconductors in three dimensions

By Chong Wang, T. Senthil. 2014

202 citations recorded by the source corpus.

Symmetry protected topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper, we describe the classification and properties of such phases for three-dimensional (3D) electronic systems with a number of different symmetries. For symmetries representative of all classes in the famous 10-fold way of free-fermion topological insulators/superconductors, we determine the stability to interactions. By combining with results on bosonic SPT phases, we obtain a classification of electronic 3D SPT phases for these symmetries. In cases with a normal $U(1)$ subgroup we show that this classification is complete. We describe the nontrivial surface and bulk properties of these states. In particular, we discuss interesting correlated surface states that are not captured in a free-fermion description. We show that in many, but not all, cases, the surface can be gapped while preserving symmetry if it develops intrinsic topological order.

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

View Paper: https://www.semanticscholar.org/paper/b78820f6ad8c249f4328f4f8bcc3b74313d9de15

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. E. Witten
2. N. Seiberg
3. Ashvin Vishwanath
4. Ryan Thorngren
5. A. Kapustin
6. Juven C. Wang
7. Chong Wang
8. R. Ma

In Condensed Matter Physics

1. E. Witten
2. Ryan Thorngren
3. N. Seiberg
4. Ashvin Vishwanath
5. A. Kapustin
6. Juven C. Wang
7. R. Ma
8. M. Hermele

Citations in the corpus

• Deconfined quantum critical points: symmetries and dualities (2017, unknown): “[106] and dubbed “symmetry-enforced gaplessness.”
• Fermionic symmetry protected topological phases and cobordisms (2014, methodology): “The equivalence of these two phases was also argued in [4].”
• Average Symmetry-Protected Topological Phases (2022, methodology): “The classification of clean 3D TIs in class AII is Z32[46, 72, 73].”
• The "parity" anomaly on an unorientable manifold (2016, background): “This question has been addressed in [4, 5], in a slightly different language, for Dirac fermions of charge 1, and in [22] for fermions of even charge as well as some other cases (the latter analysis was made mainly in the context of a topological insulator rather than superconductor).”
• Classification of Interacting Topological Floquet Phases in One Dimension (2016, background): “[35] Chong Wang and T Senthil, “Interacting fermionic topo-”
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, unknown): “The mismatch between the thermal and electrical Hall conductivities by a multiple of 8 in such a system can be understood through the arguments in the Appendix of [58], and references therein.”
• Topological Phases Protected by Point Group Symmetry (2016, background): “A. σ2 = 1: Z16 classification As in the cases analyzed above, the first step is to analyze the possible 2d states on the mirror plane.”
• Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions (2017, background): “(There are also symmetry-enforced gapless boundaries due to a non-perturbative anomaly studied in [64].”
• Gapped boundary phases of topological insulators via weak coupling (2016, methodology): “The models we construct are similar to models constructed in [25] and [28] for boundary states of a topological insulator and in [33] and [34] for boundary states of a topological superconductor.”