Algebraic Fermi Liquid from Phase Fluctuations: 'Topological' Fermions, Vortex 'Berryons, ' and QE D-3 Theory of Cuprate Superconductors

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 (QED3) 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.

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