Superconducting quantum criticality of Dirac fermions

          @misc{ pirsa_PIRSA:16080045,
            doi = {10.48660/16080045},
            url = {https://pirsa.org/16080045},
            author = {},
            keywords = {Condensed Matter, Quantum Fields and Strings},
            language = {en},
            title = {Superconducting quantum criticality of Dirac fermions},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {aug},
            note = {PIRSA:16080045 see, \url{https://pirsa.org}}
          }
          

Abstract

The semimetal-superconductor quantum phase transition of 2D Dirac fermions, such as found on the surface of a topological insulator, is conjectured to exhibit an emergent N=2 supersymmetry, based on a one-loop renormalization group analysis. In this talk I will present further evidence for this conjecture based on a three-loop analysis. Assuming the conjecture is true, I will present exact results for certain critical properties including the optical conductivity, shear viscosity, and entanglement entropy at zero temperature, as well as the finite-temperature optical conductivity.