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Phys. Rev. B 68, 024508 (2003) [4 pages]

Gauge-invariant response functions in algebraic Fermi liquids

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M. Franz1, T. Pereg-Barnea1, D. E. Sheehy1, and Z. Tešanović2
1Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, Canada V6T 1Z1
2Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA

Received 29 April 2003; published 18 July 2003

A method is developed that permits a 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 η4, while other correlators show a behavior consistent with the conservation laws imposed by the symmetries of the underlying theory.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.68.024508
DOI:
10.1103/PhysRevB.68.024508
PACS:
74.72.-h, 71.10.Hf, 11.10.Kk