PIRSA:16010076

A Simple Holographic Superconductor with Momentum Relaxation

Park, M. (2016). A Simple Holographic Superconductor with Momentum Relaxation. Perimeter Institute. https://pirsa.org/16010076

Park, Miok. A Simple Holographic Superconductor with Momentum Relaxation. Perimeter Institute, Jan. 26, 2016, https://pirsa.org/16010076 

          @misc{ pirsa_PIRSA:16010076,
            doi = {10.48660/16010076},
            url = {https://pirsa.org/16010076},
            author = {Park, Miok},
            keywords = {Condensed Matter},
            language = {en},
            title = {A Simple Holographic Superconductor with Momentum Relaxation},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {jan},
            note = {PIRSA:16010076 see, \url{https://pirsa.org}}
          }

Miok Park Korea Institute for Advanced Study

DOI 10.48660/16010076
Collection
Talk Type Scientific Series
Subject

Abstract

We studied a holographic superconductor model with a momentum relaxation by employing a linear massless scalar field, which is expected to play a role of impurity via holographic correspondence. By fixing a ratio of impurity/chemical potential, we observed the complex scalar field condensation depending on temperature and computed an electric, thermoelectric, and thermal conductivities. Interestingly, in the presence of the linear massless scalar field, Drude behaviour was shown near a zero frequency regime and the numerical data for the conductivities satisfied Ferrell-Glover-Tinkham (FGT) sum rule. We also numerically checked that the holographic Ward Identity is hold and tried to find if universal law such as Homes law or Uemura’s law is present in our model. However, Homes law was not discovered and Uemera’s law was seen when the charge of the scalar field is 3 and the ratio of the impurity/chemical potential is smaller than about 1/2.