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
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 Gmax 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.
PACS: 73.21.Hb – Quantum wires / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 73.21.La – Quantum dots
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005