Electron transport in a quantum wire with realistic Coulomb interaction

Abstract

Electron transport in a quantum wire with leads is investigated with actual Coulomb interaction taken into account. The latter includes both the direct interaction of electrons with each other and their interaction via the image charges induced in the leads. Exact analytical solution of the problem is found with the use of the bosonization technique for one-dimensional electrons and three-dimensional Poisson equation for the electric field. The Coulomb interaction is shown to change significantly the electron density distribution along the wire as compared with the Luttinger liquid model with short-range interactions. In DC and low frequency regimes, the Coulomb interaction causes the charge density to increase strongly in the vicinity of the contacts with the leads. The quantum wire impedance shows an oscillating behavior versus the frequency caused by the resonances of the charge waves. The Coulomb interaction produces a frequency dependent renormalization of the charge wave velocity.

10 two-colomn revtex pages, 6 postscript figures; one figure changed, some typos corrected, to be published in Phys.Rev.B

References in corpus (4)

• Interaction Constants and Dynamic Conductance of a Gated Wire
• AC-conductance of a quantum wire with electron-electron interaction
• Electroneutrality and the Friedel sum rule in a Luttinger liquid
• Interactions and Disorder in Multi-Channel Quantum Wires

Cited by in corpus (14)

• Luttinger-liquid-like transport in long InSb nanowires
• Negative differential resistance in molecular junctions: application to graphene ribbon junctions
• Charging Effects in a Quantum Wire with Leads
• Deformed Wigner crystal in a one-dimensional quantum dot
• Microwave Nanotube Transistor Operation at High Bias
• Self-consistent theory of current and voltage noise in multimode ballistic conductors
• Conductance and polarization in quantum junctions
• Pair spin-orbit interaction in low-dimensional electron systems
• Dynamic correlations of the Coulomb Luttinger liquid
• Spontaneous Magnetisation in a Quantum Wire
• Effect of short-range electron correlations in dynamic transport in a Luttinger liquid
• Dynamics of one-dimensional electrons with broken spin-charge separation
• Charge nonconservation of molecular devices in the presence of a nonlocal potential
• Negative dynamic conductance of a quantum wire with unscreened Coulomb interaction