We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the impurity potent

9

andtherelation

Yν(z)=

1

,

sin(πz)√

Γ(z)Γ(z+1/2)=2z 1Γ(2z).

2

(A5)

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