### Dense Chern-Simons matter with fermions at large N

In this paper we investigate properties of Chern-Simons theory coupled to massive fermions in the large N limit. We demonstrate that at low temperatures the system is in a Fermi liquid state whose features can be systematically compared to the standard phenomenological theory of Landau Fermi liquids. This includes matching microscopically derived Landau parameters with thermodynamic predictions of Landau Fermi liquid theory. We also calculate the exact conductivity and viscosity tensors at zero temperature and finite chemical potential. In particular we point out that the Hall conductivity of an interacting system is not entirely accounted for by the Berry flux through the Fermi sphere. Furthermore, investigation of the thermodynamics in the non-relativistic limit reveals novel phenomena at strong coupling. Furthermore, as the ’t Hooft coupling λ approaches 1, the system exhibits an extended intermediate temperature regime in which the thermodynamics is described by neither the quantum Fermi liquid theory nor the classical ideal gas law. Instead, it can be interpreted as a weakly coupled quantum Bose gas.

- Publication Date:

- Grant/Contract Number:
- FG02-13ER41958; SC0009924

- Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Research Org:
- Univ. of Chicago, IL (United States)

- Sponsoring Org:
- USDOE

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; Chern-Simons Theories; Duality in Gauge Field Theories

- OSTI Identifier:
- 1395562

```
Geracie, Michael, Goykhman, Mikhail, and Son, Dam T.
```*Dense Chern-Simons matter with fermions at large N*. United States: N. p.,
Web. doi:10.1007/JHEP04(2016)103.

```
Geracie, Michael, Goykhman, Mikhail, & Son, Dam T.
```*Dense Chern-Simons matter with fermions at large N*. United States. doi:10.1007/JHEP04(2016)103.

```
Geracie, Michael, Goykhman, Mikhail, and Son, Dam T. 2016.
"Dense Chern-Simons matter with fermions at large N". United States.
doi:10.1007/JHEP04(2016)103. https://www.osti.gov/servlets/purl/1395562.
```

```
@article{osti_1395562,
```

title = {Dense Chern-Simons matter with fermions at large N},

author = {Geracie, Michael and Goykhman, Mikhail and Son, Dam T.},

abstractNote = {In this paper we investigate properties of Chern-Simons theory coupled to massive fermions in the large N limit. We demonstrate that at low temperatures the system is in a Fermi liquid state whose features can be systematically compared to the standard phenomenological theory of Landau Fermi liquids. This includes matching microscopically derived Landau parameters with thermodynamic predictions of Landau Fermi liquid theory. We also calculate the exact conductivity and viscosity tensors at zero temperature and finite chemical potential. In particular we point out that the Hall conductivity of an interacting system is not entirely accounted for by the Berry flux through the Fermi sphere. Furthermore, investigation of the thermodynamics in the non-relativistic limit reveals novel phenomena at strong coupling. Furthermore, as the ’t Hooft coupling λ approaches 1, the system exhibits an extended intermediate temperature regime in which the thermodynamics is described by neither the quantum Fermi liquid theory nor the classical ideal gas law. Instead, it can be interpreted as a weakly coupled quantum Bose gas.},

doi = {10.1007/JHEP04(2016)103},

journal = {Journal of High Energy Physics (Online)},

number = 4,

volume = 2016,

place = {United States},

year = {2016},

month = {4}

}