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

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

2007-10-15

arxiv.org/abs/0710.2907v1

Phys. Rev. B 77, 033410 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.77.033410

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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