Magnetic field effects on low dimensional electron systems: Luttinger liquid behaviour in a quantum wire |
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Authors: | Email author" target="_blank">S?BellucciEmail author P?Onorato |
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Institution: | (1) INFN, Laboratori Nazionali di Frascati, P.O. Box 13, 00044 Frascati, Italy;(2) Dipartimento di Scienze Fisiche, Università di Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy |
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Abstract: | We discuss the effects of a strong magnetic field in quantum
wires. We show how the
presence of a magnetic field modifies the role played by
electron electron interaction
producing a strong reduction of the backward scattering
corresponding to the Coulomb repulsion. We discuss the
consequences of this and other effects of magnetic field on the
Tomonaga-Luttinger liquids and especially on their power-law
behaviour in all correlation functions.
The focal point is the rescaling of all the repulsive terms of the
interaction between electrons with opposite momenta, due to the
edge localization of the electrons and to the reduction of the
length scale. Because of the same two reasons there are some
interesting effects of the magnetic field concerning the backward
scattering due to the presence of one impurity and the
corresponding conductance. As an effect of the magnetic field we
find also a spin polarization induced by a combination of
electrostatic forces and the Pauli principle, quite similar to the
one observed in large Quntum Dots. |
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Keywords: | |
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