PIRSA:15040085

Interacting surface states of topological insulators and superfluids

(2015). Interacting surface states of topological insulators and superfluids. Perimeter Institute. https://pirsa.org/15040085

Interacting surface states of topological insulators and superfluids. Perimeter Institute, Apr. 28, 2015, https://pirsa.org/15040085 

          @misc{ pirsa_PIRSA:15040085,
            doi = {10.48660/15040085},
            url = {https://pirsa.org/15040085},
            author = {},
            keywords = {Condensed Matter},
            language = {en},
            title = {Interacting surface states of topological insulators and superfluids},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {apr},
            note = {PIRSA:15040085 see, \url{https://pirsa.org}}
          }
DOI 10.48660/15040085
Collection
Talk Type Scientific Series
Subject

Abstract

The standard theory of topological insulators and superfluids (or superconductors) assumes that the fermionic elementary excitations in these systems – electrons in the insulator and Bogoliubov quasiparticles in the superfluid – do not interact with one another. In this talk I will discuss extensions of this theory to include the effects of interparticle interactions on the topological surface states of 3D topological insulators and superfluids. First, I will argue that bulk quantum fluctuations of the superfluid order parameter in the only 3D topological superfluid known to date, 3He-B, can generate an effective two-body interaction between the surface Majorana fermions.

Possible consequences of this interaction will be discussed. Second, I will propose an extension of the phenomenological Landau theory of Fermi liquids to the surface states of 3D topological insulators, leading to the concept of helical Fermi liquid.