Multi-particle effects in non-equilibrium electron tunnelling and field emission

Abstract

We investigate energy resolved electric current from various correlated host materials under out-of-equilibrium conditions. We find that, due to a combined effect of electron-electron interactions, non-equilibrium and multi-particle tunnelling, the energy resolved current is finite even above the Fermi edge of the host material. In most cases, the current density possesses a singularity at the Fermi level revealing novel manifestations of correlation effects in electron tunnelling. By means of the Keldysh non-equilibrium technique, the current density is calculated for one-dimensional interacting electron systems and for two-dimensional systems, both in the pure limit and in the presence of disorder. We then specialise to the field emission and provide a comprehensive theoretical study of this effect in carbon nanotubes.

22 pages, 8 figures (eps files)

References in corpus (6)

• Suppression of tunneling into multi-wall carbon nanotubes
• Bulk and boundary zero-bias anomaly in multi-wall carbon nanotubes
• Occupation of a resonant level coupled to a chiral Luttinger liquid
• Zero-bias anomaly in disordered wires
• Coulomb Blockade of Tunneling between Disordered Conductors
• Field emission from Luttinger liquids and single-wall carbon nanotubes

Cited by in corpus (9)

• Towards full counting statistics for the Anderson impurity model
• Non-equilibrium Tunneling Spectroscopy in Carbon Nanotubes
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas
• Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems
• Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
• Backscattering off a dynamical impurity in one-dimensional Fermi systems: A perturbative computation
• dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
• On the visibility of electron-electron interaction effects in field emission spectra