Low-temperature transport of correlated electrons

Abstract

Transport properties of a single-channel Luttinger liquid impinging on a barrier have been studied for $g=1/2-\epsilon$, where $g$ is the dimensionless interaction constant and $|\epsilon |\ll 1$. The relevant diagrams contributing to the conductance are identified and evaluated in all orders. Our approach represents a leading-log summation which is valid for sufficiently low temperature and small voltage. The asymptotic low-temperature corrections exhibit a turnover from the $T^{2/g-2}$ behavior to a universal $T^2$ law as the voltage is increased.

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