Gauge invariant response functions in Algebraic Fermi liquids

Abstract

A new method is developed that permits the simple evaluation of two-loop response functions for fermions coupled to a gauge field. We employ this method to study the gauge-invariant response functions in the Algebraic Fermi liquid, a non-Fermi liquid state proposed to describe the pseudogap phase in the QED3 theory of cuprate superconductors. The staggered spin susceptibility is found to exhibit a characteristic anomalous dimension exponent η_4, while other correlators show behavior consistent with the conservation laws imposed by the symmetries of the underlying theory.

4 pages REVTeX + 1 PostScript figure. Version published in PRB. For related work and info visit http://www.physics.ubc.ca/~franz/

References in corpus (14)

• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Gauge-invariant response functions of fermions coupled to a gauge field
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Theory of spin excitations in undoped and underdoped cuprates
• Mott Transition in An Anyon Gas
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Non-compact QED_3 with N_f >=2
• Chiral Symmetry Breaking and Phase Fluctuations in Cuprate Superconductors: A QED${}_3$ Unified Theory of the Pseudogap State
• Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
• Deviations from Fermi-Liquid behaviour in (2+1)-dimensional Quantum Electrodynamics and the normal phase of high-$T_c$ Superconductors
• Gauge (non-)invariant Green functions of Dirac fermions coupled to gauge fields
• Anomalous dimensions of gauge-invariant amplitudes in massless effective gauge theories of strongly correlated systems

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• SU(N) quantum spin models: A variational wavefunction study
• Theory of the algebraic vortex liquid in an anisotropic spin-1/2 triangular antiferromagnet
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Conserved current correlators of conformal field theories in 2+1 dimensions
• Classification of massive and gapless phases in bilayer graphene
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Chiral Symmetry breaking in Three Dimensional QED
• Eliashberg theory of excitonic insulating transition in graphene
• Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field
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• Power law Kohn anomalies and the excitonic transition in graphene
• Kondo physics in the algebraic spin liquid
• Conformality and self-duality of $N_f=2$ QED${}_3$
• Influence of gauge boson mass on the staggered spin susceptibility
• Power law Kohn anomaly in undoped graphene induced by Coulomb interactions
• Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
• Effect of nonmagnetic disorder on criticality in the "dirty" U(1) spin liquid
• Infrared behaviour of massless QED in space-time dimensions 2 < d < 4
• Vector boson excitations near deconfined quantum critical points
• Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Calculation of the staggered spin correlation in the framework of the Dyson-Schwinger approach
• Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators
• Role of spinon and spinon singlet pair excitations on phase transitions in $d-wave$ superconductors
• Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED${}_3$
• Feynman path-integral approach to the QED3 theory of the pseudogap