Quantum corrections to the conductivity of fermion - gauge field models: Application to half filled Landau level and high-Tc superconductors
Abstract
We calculate the Altshuler-Aronov type quantum correction to the conductivity of 2d charge carriers in a random potential (or random magnetic field) coupled to a transverse gauge field. The gauge fields considered simulate the effect of the Coulomb interaction for the fractional quantum Hall state at half filling and for the t-J model of high-Tc superconducting compounds. We find an unusually large quantum correction varying linearly or quadratically with the logarithm of temperature, in different temperature regimes.
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