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Random Magnetic Field and the Dirac Fermi Surface

Lee, Chao-Jung and Mulligan, Michael (2022) Random Magnetic Field and the Dirac Fermi Surface. . (Unpublished)

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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.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Lee, Chao-Jung0000-0003-3339-1522
Additional Information:Attribution 4.0 International (CC BY 4.0)
Record Number:CaltechAUTHORS:20220809-232346482
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116193
Deposited By: George Porter
Deposited On:12 Aug 2022 00:31
Last Modified:12 Aug 2022 00:31

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