PIRSA:15090007

Video URL

https://pirsa.org/15090007

Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids

Oshikawa, M. (2015). Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids. Perimeter Institute for Theoretical Physics. https://pirsa.org/15090007

Oshikawa, Masaki. Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids. Perimeter Institute for Theoretical Physics, Sep. 29, 2015, https://pirsa.org/15090007 

          @misc{ scivideos_PIRSA:15090007,
            doi = {10.48660/15090007},
            url = {https://pirsa.org/15090007},
            author = {Oshikawa, Masaki},
            keywords = {Quantum Matter},
            language = {en},
            title = {Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2015},
            month = {sep},
            note = {PIRSA:15090007 see, \url{https://scivideos.org/pirsa/15090007}}
          }

Masaki Oshikawa University of Tokyo

Talk numberPIRSA:15090007
DOI10.48660/15090007
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The orbital angular momentum in a chiral superfluid has posed a paradox for several decades. For example, for the $p+ip$-wave superfluid of $N$ fermions, the total orbital angular momentum should be $N/2$ if all the fermions form Cooper pairs. On the other hand, it appears to be substantially suppressed from $N/2$, considering that only the fermions near the Fermi surface would be affected by the pairing interaction. To resolve the long-standing question, we studied chiral superfluids in a two-dimensional circular well, in terms of a conserved charge and spectral flows. We find that the total orbital angular momentum takes the full value $N/2$ in the chiral $p+ip$-wave superfluid, while it is strongly suppressed in higher-order ($d+id$ etc.) chiral superfluids. This surprising difference is elucidated in terms of edge states.