Weak localization of charged quantum particles in a disordered system subject to a strongly fluctuating magnetic field

We consider the effect of a magnetic field fluctuating in space and time on the transport of independent charged particles in a two-dimensional random potential. The renormalization of the diffusion coefficient and the destruction of phase coherence by the magnetic field lead to a finite quantum correction to the electrical conductivity δσ at finite temperature T. Comparison of our result with the standard weak localization expression yields an unusual effective phase breaking rate 1/${\mathrm{\tau }}_{\mathrm{\phi }}$∼${\mathit{T}}^{1/3}$. Our results explain the recently observed phase breaking rate in a ${\mathrm{Bi}}_2$ ${\mathrm{Sr}}_2$ ${\mathrm{CuO}}_6$ compound, and furnish proof for the existence of gauge fields in these materials.