Eur. Phys. J. B 47, 385-390 (2005)
https://doi.org/10.1140/epjb/e2005-00344-7

Transport through a double barrier for interacting quasi one-dimensional electrons in a quantum wire in the presence of a transverse magnetic field

¹ INFN, Laboratori Nazionali di Frascati, PO Box 13, 00044 Frascati, Italy
² Dipartimento di Scienze Fisiche, Università di Roma Tre, via della Vasca Navale 84, 00146 Roma, Italy

Corresponding author: ^a bellucci@Inf.infn.it

Received: 13 May 2005
Revised: 20 July 2005
Published online: 28 October 2005

Abstract

We discuss the Luttinger liquid behaviour of a semiconducting quantum wire. We show that the measured value of the bulk critical exponent, , for the tunneling density of states can be easily calculated. Then, the problem of the transport through a quantum dot formed by two quantum point contacts along the quantum wire, weakly coupled to spinless Tomonaga-Luttinger liquids is studied, including the action of a strong transverse magnetic field B. The known magnetic dependent peaks of the conductance, G(B), in the ballistic regime at a very low temperature, T, have to be reflected also in the transport at higher T and in different regimes. The temperature dependence of the maximum G_max of the conductance peak, according to the Correlated Sequential Tunneling theory, yields the power law , with the critical exponent, , strongly reduced by B. This behaviour suggests the use of a similar device as a magnetic field modulated transistor.