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

摘要

We argue that massless Dirac particles in two spatial dimensions with $1/r$Coulomb repulsion and quenched random gauge field are described by a manifoldof fixed points which can be accessed perturbatively in disorder andinteraction strength, thereby confirming and extending the results ofarXiv:0707.4171. At small interaction and small randomness, there is aninfra-red stable fixed curve which merges with the strongly interactinginfra-red unstable line at a critical endpoint, along which the dynamicalcritical exponent $z=1$.