PIRSA:13080055 Scientific Series Condensed Matter

DOI10.48660/13080055

Series: Quantum Matter

Todadri, S. (2013). Interacting topological insulators in three dimensions: classification and properties. Perimeter Institute. https://pirsa.org/13080055

Todadri, Senthil. Interacting topological insulators in three dimensions: classification and properties. Perimeter Institute, Aug. 20, 2013, https://pirsa.org/13080055 

@misc{ pirsa_PIRSA:13080055,
  doi = {10.48660/13080055},
  url = {https://pirsa.org/13080055},
  author = {Todadri, Senthil},
  keywords = {Condensed Matter},
  language = {en},
  title = {Interacting topological insulators in three dimensions: classification and properties},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {aug},
  note = {PIRSA:13080055 see, \url{https://pirsa.org}}
}

Abstract

A fundamental open problem in condensed matter physics is how the dichotomy between conventional and topological band insulators is modified in the presence of strong electron interactions. In this talk I describe recent work showing that there are 6 new electronic topological insulators that have no non-interacting counterpart. Combined with the previously known band-insulators, these produce a total of 8 topologically distinct phases. Two of the new topological insulators have a simple physical description as Mott insulators in which the electron spins form spin analogs of the familiar topological band-insulator. The remaining are obtained as combinations of these two `topological paramagnets' and the topological band insulator. These 8 phases form a complete list of all possible interacting topological insulators, and are classified by a $\mathbb{Z}_2^3$ group-structure. As a necessary part of the talk I will also review progress in the theory of bosonic Symmetry Protected Topological phases in 3d.

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