Magnetic field effects on low dimensional electron systems: Luttinger liquid behaviour in a Quantum Wire

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 % which %coefficients corresponding to electron electron interaction % and the Fermi velocity 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.

11 pages, 10 figures, accepted for publication on the European Physical Journal B in the section Solid and Condensed State Physics

References in corpus (11)

• Quantum Transport in Semiconductor Nanostructures
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Spin Accumulation in Quantum Wires with Strong Rashba Spin-Orbit Coupling
• The spin-orbit interaction as a source of new spectral and transport properties in quasi-one-dimensional systems
• Spin-orbit coupling in interacting quasi-one-dimensional electron systems
• Scaling behavior of impurities in mesoscopic Luttinger liquids
• Rashba effect in 2D mesoscopic systems with transverse magnetic field
• Magnetic Field Dependence of the Level Spacing of a Small Electron Droplet
• On the Coulomb interaction in chiral-invariant one-dimensional electron systems
• ESR theory for interacting 1D quantum wires

Cited by in corpus (5)

• Integer Spin Hall Effect in Ballistic Quantum Wires
• Transport through a double barrier for interacting quasi one-dimensional electrons in a Quantum Wire in the presence of a transverse magnetic field
• Magnetic field effects and renormalization of the long-range Coulomb interaction in Carbon Nanotubes
• Modulation of Luttinger liquid exponents in multi-walled carbon nanotubes
• Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field