Allais, AndreaSachdev, Subir2015-06-122014Allais, Andrea, and Subir Sachdev. 2014. “Spectral Function of a Localized Fermion Coupled to the Wilson-Fisher Conformal Field Theory.” Phys. Rev. B 90 (3) (July). doi:10.1103/physrevb.90.035131.1098-0121http://nrs.harvard.edu/urn-3:HUL.InstRepos:16310609We describe the dynamics of a single fermion in a dispersionless band coupled to the 2+1 dimensional conformal field theory (CFT) describing the quantum phase transition of a bosonic order parameter with N components. The fermionic spectral functions are expected to apply to the vicinity of quantum critical points in two-dimensional metals over an intermediate temperature regime where the Landau damping of the order parameter can be neglected. Some of our results are obtained by a mapping to an auxiliary problem of a CFT containing a defect line with an external field which locally breaks the global O(N) symmetry.en-USJournal Article2015-06-1210.1103/PhysRevB.90.035131