Scaling and diffusion of Dirac composite fermions
- Creators
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Lee, Chao-Jung
- Mulligan, Michael
Abstract
We study the effects of quenched disorder and a dissipative Coulomb interaction on an anyon gas in a periodic potential undergoing a quantum phase transition. We use a (2+1)−dimensional low-energy effective description that involves Nf=1 Dirac fermion coupled to a U(1) Chern-Simons gauge field at level (θ−1/2). When θ=1/2 the anyons are free Dirac fermions that exhibit an integer quantum Hall transition; when θ=1 the anyons are bosons undergoing a superconductor-insulator transition in the universality class of the three-dimensional XY model. Using the large Nf approximation we perform a renormalization-group analysis. We find the Coulomb interaction to be an irrelevant perturbation of the clean fixed point for any θ. The dissipative Coulomb interaction allows for two classes of IR stable fixed points in the presence of disorder: those with a finite nonzero Coulomb coupling and dynamical critical exponent z=1 and those with an effectively infinite Coulomb coupling and 1
Additional Information
© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 29 January 2020; accepted 25 March 2020; published 8 June 2020. We thank Hart Goldman, Sri Raghu, and Alex Thomson for useful conversations and correspondence. This material is based upon work supported by the US Department of Energy, Office of Science, Office of Basic Energy Sciences under Grant No. DE-SC0020007. This research was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958.Attached Files
Published - PhysRevResearch.2.023303.pdf
Submitted - 1912.12303.pdf
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Additional details
- Eprint ID
- 101492
- Resolver ID
- CaltechAUTHORS:20200224-110724526
- DE-SC0020007
- Department of Energy (DOE)
- PHY-1748958
- NSF
- Created
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2020-02-24Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field