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

Abstract

We discuss the Luttinger Liquid behaviour of a semiconducting Quantum Wire. We show that the measured value of the bulk critical exponent, ${\alpha }_{bulk}$, 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 $G_{max}\propto T^{2{\alpha }_{end}-1}$, with the critical exponent, ${\alpha }_{end}$, strongly reduced by $B$. This behaviour suggests the use of a similar device as a magnetic field modulated transistor.

6 pages, 4 figures

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• Resonant tunneling of interacting electrons in a one-dimensional wire
• Transport of interacting electrons through a double barrier in quantum wires
• Resonant tunnelling between Luttinger liquids: solvable case
• Correlated tunneling in intramolecular carbon nanotube quantum dots
• Rashba effect in 2D mesoscopic systems with transverse magnetic field
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• ESR theory for interacting 1D quantum wires
• Resonant tunneling in a Luttinger liquid for arbitrary barrier transmission
• Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes
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Cited by in corpus (4)

• Integer Spin Hall Effect in Ballistic Quantum Wires
• Transverse field-induced effects in carbon nanotubes
• Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field
• Accessing nanotube bands via crossed electric and magnetic fields