Ijr. Aitchison et Ne. Mavromatos, DEVIATIONS FROM FERMI-LIQUID BEHAVIOR IN (2-DIMENSIONAL QUANTUM ELECTRODYNAMICS AND THE NORMAL-PHASE OF HIGH-T-C SUPERCONDUCTORS(1)), Physical review. B, Condensed matter, 53(14), 1996, pp. 9321-9336
We argue that the gauge-fermion interaction in multiflavor quantum ele
ctrodynamics in (2+1) dimensions is responsible for non-Fermi-liquid b
ehavior in the infrared, in the sense of leading to the existence of a
nontrivial (quasi)fixed point that lies between the trivial fixed poi
nt (at infinite momenta) and the region where dynamical symmetry break
ing and mass generation occurs. This quasifixed-point structure implie
s slowly varying, rather than fixed, couplings in the intermediate reg
ime of momenta, a situation which resembles that of (four-dimensional)
''walking technicolor'' models of particle physics. The inclusion of
wave-function renormalization yields marginal O(1/N) corrections to th
e ''bulk'' non-Fermi-liquid behavior caused by the gauge interaction i
n the limit of infinite flavor number. Such corrections lead to the ap
pearance of modified critical exponents. In particular, at low tempera
tures there appear to be logarithmic scaling violations of the linear
resistivity of the system of order O(1/N). The connection with the ano
malous normal-state properties of certain condensed-matter systems rel
evant for high-temperature superconductivity is briefly discussed. The
relevance of the large (flavor) N expansion to the Fermi-liquid probl
em is emphasized. As a partial result of our analysis, we point out th
e absence of charge-density-wave instabilities from the effective low-
energy theory, as a consequence of gauge invariance.