Thomson, AlexSachdev, Subir2019-09-112017-06-26Thomson, Alex, and Subir Sachdev. 2017. Quantum Electrodynamics in 2+1 Dimensions With Quenched Disorder: Quantum Critical States With Interactions and Disorder. Physics Review B 95, no. 23: 235146.2469-99502469-9969http://nrs.harvard.edu/urn-3:HUL.InstRepos:41321665Quantum electrodynamics in 2+1 dimensions (QED3) is a strongly coupled conformal field theory (CFT) of a U(1) gauge field coupled to 2N two-component massless fermions. The N=2 CFT has been proposed as a ground state of the spin-1/2 kagome Heisenberg antiferromagnet. We study QED3 in the presence of weak quenched disorder in its two spatial directions. When the disorder explicitly breaks the fermion flavor symmetry from SU(2N) → U(1) × SU(N) but preserves time-reversal symmetry, we find that the theory flows to a nontrivial fixed line at nonzero disorder with a continuously varying dynamical critical exponent z>1. We determine the zero-temperature flavor (spin) conductivity along the critical line. Our calculations are performed in the large-N limit, and the disorder is handled using the replica method.en-USJournal Article2019-09-1110.1103/physrevb.95.235146