Pumping current of a Luttinger liquid with finite length

We study transport properties in a Tomonaga-Luttinger liquid in the presence of two timedependent 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<sub>bs...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Franchino Viñas, Sebastián A., González Pisani, Pablo Andrés, Salvay, Mariano
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96599
https://ri.conicet.gov.ar/11336/76538
Aporte de:
Descripción
Sumario:We study transport properties in a Tomonaga-Luttinger liquid in the presence of two timedependent 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<sub>bs</sub>) 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<sub>bs</sub> are modified by the finite size of the system.