PIRSA:15120036

Chern-Simons with Dense Fermions in the Large N Limit

Geracie, M. (2015). Chern-Simons with Dense Fermions in the Large N Limit. Perimeter Institute. https://pirsa.org/15120036

Geracie, Michael. Chern-Simons with Dense Fermions in the Large N Limit. Perimeter Institute, Dec. 10, 2015, https://pirsa.org/15120036 

          @misc{ pirsa_PIRSA:15120036,
            doi = {10.48660/15120036},
            url = {https://pirsa.org/15120036},
            author = {Geracie, Michael},
            keywords = {Condensed Matter},
            language = {en},
            title = {Chern-Simons with Dense Fermions in the Large N Limit},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {dec},
            note = {PIRSA:15120036 see, \url{https://pirsa.org}}
          }

Michael Geracie

University of Chicago

Talk number
PIRSA:15120036
Collection
Talk Type
Subject
Abstract

We investigate the properties of Chern-Simons theory coupled to massive fermions at finite density. In the large N limit, this is solvable to all orders in the coupling and we use this as a playground for investigating the behavior of strongly correlated condensed matter systems. At low temperatures the system enters a Fermi liquid state whose features may be compared to the phenomenological theory of Landau Fermi liquids and our analysis indicates the need to augment this framework to properly characterize parity odd transport. Furthermore, an investigation of the equation of state reveals novel phenomena at strong coupling. As the interaction strength is tuned to infinity, the system exhibits an extended intermediate regime in which the thermodynamics is described by neither Fermi liquid theory nor the classical ideal gas law. Instead, it can be interpreted as a weakly coupled quantum Bose gas.