Pumping current of a Luttinger liquid with finite length

S. A. FRANCHINO VIÑAS; P.A.G. PISANI; M. SALVAY

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

SPRINGER

Año: 2012 vol. 85 p. 136 - 144

1434-6028

We study transport properties  in a Tomonaga-Luttinger liquid in the presence of two time-dependent point like weak impurities, taking into account finite-length effects. By employing analytical methods and performing a perturbation theory, we compute the backscattering pumping current (I_bs) in different regimes which can be established in relation to the oscillatory frequency of the impurities and to the frequency related to the length and the renormalized velocity (by the  electron-electron interactions) of the charge density modes.  We investigate the role played by the spatial position of the impurity potentials.  We also show how the previous infinite length results for I_bs are modified by the finite size of the system.