Chern-Simons with Dense Fermions in the Large N Limit

APA

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

MLA

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

BibTex

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

Michael Geracie University of Chicago

Source Repository PIRSA
Collection

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.