Published May 15, 2023
| Published
Journal Article
Open
Random magnetic field and the Dirac Fermi surface
- Creators
- Lee, Chao-Jung
- Mulligan, Michael
Abstract
We study a single two-dimensional 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
© 2023 American Physical Society. We thank Prashant Kumar and Sri Raghu for useful conversations. C.-J.L. was partially supported by the scholarship of the Taiwan Ministry of Education. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award No. DE-SC0020007.Attached Files
Published - PhysRevB.107.205145.pdf
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PhysRevB.107.205145.pdf
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Additional details
- Eprint ID
- 122060
- Resolver ID
- CaltechAUTHORS:20230629-670431800.3
- DE-SC0020007
- Department of Energy (DOE)
- Created
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2023-07-05Created from EPrint's datestamp field
- Updated
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2023-07-05Created from EPrint's last_modified field