Quantum corrections to the conductivity of fermion - gauge field models: Application to half filled Landau level and high-$T_c$ 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-$T_c$ superconducting compounds. We find an unusually large quantum correction varying linearly or quadratically with the logarithm of temperature, in different temperature regimes.

12 pages REVTEX, 1 figure. The figure is added and minor misprints are corrected

References in corpus (6)

• On the low energy properies of fermions with singular interactions
• Singularities in the Fermi liquid description of a partially filled Landau level and the energy gaps of fractional quantum Hall states
• Localization of Charged Quantum Particles in a Static Random Magnetic Field
• Logarithmic temperature dependence of conductivity at half-integer filling factors: Evidence for interaction between composite fermions
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Cited by in corpus (13)

• Semiclassical theory of transport in a random magnetic field
• Composite Dirac fermions in graphene
• Quantum Correction to Conductivity Close to Ferromagnetic Quantum Critical Point in Two Dimensions
• Metal-insulator crossover in superconducting cuprates in strong magnetic fields
• Gauge field theory of transport and magnetic relaxation in underdoped cuprates
• Metallic phase in a two-dimensional disordered Fermi system with singular interactions
• Interaction effects on quantum Hall transitions: dynamical scaling laws and superuniversality
• Effect of gauge-field interaction on fermion transport in 2D: Hartree conductivity correction and dephasing
• Interaction Correction of Conductivity Near a Ferromagnetic Quantum Critical Point
• Composite fermions in graphene fractional quantum Hall state at half filling: evidence for Dirac composite fermions
• High temperature resistivity measured at ν = 5/2 as a predictor of 2DEG quality in the N=1 Landau level
• Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems
• Magnetoresistance and Hall Constant of Composite Fermions