Europhys. Lett.
Volume 48, Number 1, October 1999
Page(s) 66 - 72
Section Condensed matter: electronic structure, electrical, magnetic and optical properties
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00115-8

Europhys. Lett, 48 (1), pp. 66-72 (1999)

Frequency scaling of photo-induced tunneling

G. Cuniberti 1,2, A. Fechner 2,3, M. Sassetti 2 and B. Kramer 3

1 Max-Planck-Institut für Physik komplexer Systeme
Nöthnitzerstraße 38, D-01187 Dresden, Germany
2 Dipartimento di Fisica, INFM, Università di Genova
via Dodecaneso 33, I-16146 Genova, Italy
3 I. Institut für Theoretische Physik, Universität Hamburg
Jungiusstraße 9, D-20355 Hamburg, Germany

(received 31 May 1999; accepted in final form 4 August 1999)

PACS. 71.10Pm - Fermions in reduced dimensions (anyons, composite fermions, Luttinger
liquid, etc.).
PACS. 72.20Ht - High-field and nonlinear effects.
PACS. 42.65Ky - Harmonic generation, frequency conversion.


The DC current-voltage characteristics induced by a driving electric field with frequency $\Omega$ of a one-dimensional electron channel with a tunnel barrier is calculated. Electron-electron interaction of finite range is taken into account. For intermediate interaction strengths, the non-linear differential conductance shows cusp-like minima at bias voltages $m\hbar\Omega/e$ (m integer) that are a consequence of the finite non-zero range of the interaction but are independent of the shape of the driving electric field. However, the frequency-scaling of the photo-induced current shows a cross-over between $\Omega ^{-1}$ and $\Omega ^{-2}$, and depends on the spatial shape of the driving field and the range of the interaction.


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