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Phys. Rev. B 77, 033410 (2008) [4 pages]

Renormalization group approach to two-dimensional Coulomb interacting Dirac fermions with random gauge potential

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Oskar Vafek and Matthew J. Case
National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, Florida 32306, USA

Received 21 October 2007; revised 12 November 2007; published 15 January 2008

We argue that massless Dirac particles in two spatial dimensions with 1∕r Coulomb repulsion and quenched random gauge field are described by a manifold of fixed points which can be accessed perturbatively in disorder and interaction strength, thereby confirming and extending the results of Herbut, Juricic, and Vafek [arXiv:0707.4171 (unpublished)]. At small interaction and small randomness, there is an infrared stable fixed curve which merges with the strongly interacting infrared unstable line at a critical endpoint, along which the dynamical critical exponent z=1.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.033410
DOI:
10.1103/PhysRevB.77.033410
PACS:
73.61.Wp, 71.10.Pm, 71.10.Hf, 71.23.−k