Algebraic Fermi liquid from phase fluctuations:: Topological fermions, vortex Berryons, and QED3 theory of cuprate superconductors -: art. no. 257003

Within the phase fluctuation model for the pseudogap state of cuprate superconductors we identify a novel statistical Berry phase interaction between the nodal quasiparticles and fluctuating vortex-antivortex excitations. The effective action describing this model assumes the form of an anisotropic Euclidean quantum electrodynamics in (2 + 1) dimensions (QED(3)) and naturally generates non-Fermi liquid behavior for its fermionic excitations. The doping axis in the x-T phase diagram emerges as a quantum critical line which regulates the low energy fermiology.