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arXiv · 0710.2907

Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential

Oskar Vafek·Matthew J. Case
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Abstract

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 arXiv:0707.4171. At small interaction and small randomness, there is an infra-red stable fixed curve which merges with the strongly interacting infra-red unstable line at a critical endpoint, along which the dynamical critical exponent $z=1$.

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Oskar Vafek, Matthew J. Case. 2007-10-15. Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential. https://doi.org/10.1103/physrevb.77.033410

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