Published August 12, 2022
| Submitted
Report
Open
Random Magnetic Field and the Dirac Fermi Surface
- Creators
- Lee, Chao-Jung
- Mulligan, Michael
Abstract
We study a single 2d Dirac fermion at finite density, subject to a quenched random magnetic field. At low energies and sufficiently weak disorder, the theory maps onto an infinite collection of 1d chiral fermions (associated to each point on the Fermi surface) coupled by a random vector potential. This low-energy theory exhibits an exactly solvable random fixed line, along which we directly compute various disorder-averaged observables without the need for the usual replica, supersymmetry, or Keldysh techniques. We find the longitudinal dc conductivity in the collisionless ℏω/k_BT → ∞ limit to be nonuniversal and to vary continuously along the fixed line.
Additional Information
Attribution 4.0 International (CC BY 4.0)Attached Files
Submitted - 2207.06443v1.pdf
Files
2207.06443v1.pdf
Files
(349.5 kB)
Name | Size | Download all |
---|---|---|
md5:3a47e418b60dd54273430f76593b7666
|
349.5 kB | Preview Download |
Additional details
- Eprint ID
- 116193
- Resolver ID
- CaltechAUTHORS:20220809-232346482
- Created
-
2022-08-12Created from EPrint's datestamp field
- Updated
-
2023-07-05Created from EPrint's last_modified field