Transient and finite size effects in transport properties of a quantum wire

M. SALVAY; A. IUCCI; C. NAÓN

PHYSICAL REVIEW B

AMER PHYSICAL SOC

Lugar: New York; Año: 2011 vol. 84 p. 75482 - 99999999

1098-0121

We study the time-dependent backscattered current produced in a quantum wire when a local barrier is suddenly switched on. Previous investigations are improved by taking into account the finite length of the device. We establish two different regimes in terms of the relationship between the energy scales associated to the voltage and the length of the system. We show how previous results, valid for wires of infinite length, are modified by the finite size of the system. In particular our study reveals a rich pattern of temporal steps within which the current suffers an initial relaxation followed by temporary revivals. By employing both analytical and numerical methods we describe peculiar features of this structure. From this analysis one concludes that our results render a recently proposed approach to the determination of the Luttinger parameter K, more realistic.