Zero-bias anomaly in two-dimensional electron layers and multiwall nanotubes

Abstract

The zero-bias anomaly in the dependence of the tunneling density of states $\nu (\epsilon )$ on the energy $\epsilon$ of the tunneling particle for two- and one-dimensional multilayered structures is studied. We show that for a ballistic two-dimensional (2D) system the first order interaction correction to DOS due to the plasmon excitations studied by Khveshchenko and Reizer is partly compensated by the contribution of electron-hole pairs which is twice as small and has the opposite sign. For multilayered systems the total correction to the density of states near the Fermi energy has the form $\delta \nu /{\nu }_0=max(|\epsilon |,{\epsilon }^{\ast })/4{\epsilon }_F$, where ${\epsilon }^{\ast }$ is the plasmon energy gap of the multilayered 2D system. In the case of one-dimensional conductors we study multiwall nanotubes with the elastic mean free path exceeding the radius of the nanotube. The dependence of the tunneling density of states energy, temperature and on the number of shells is found.

8 pages, 3 figures

References in corpus (5)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Electron--electron Interactions in Disordered Metals: Keldysh Formalism
• Tunneling ``zero-bias'' anomaly in the quasi-ballistic regime
• Zero-bias anomaly in disordered wires
• Effects of two dimensional plasmons on the tunneling density of states

Cited by in corpus (14)

• Singular perturbation theory for interacting fermions in two dimensions
• Coulomb interacting Dirac fermions in disordered graphene
• Nitrogen doping of metallic single-walled carbon nanotubes: n-type conduction and dipole scattering
• Thermal conductivity of a two-dimensional electron gas with Coulomb interaction
• Effective Soft-Mode Theory of Strongly Interacting Fermions
• Boson-assisted tunneling in layered metals
• Nonanalyticities in a Strongly Correlated Fermi Liquid: Corrections to Scaling at the Fermi-Liquid Fixed Point
• Tunneling Density of States of the Interacting Two-Dimensional Electron Gas
• Interaction effects in 2D electron gas in a random magnetic field: Implications for composite fermions and quantum critical point
• Zero-bias tunneling anomaly in a clean 2D electron gas caused by smooth density variations
• Density of states of the interacting two-dimensional electron gas
• Anomalous Density-of-States Fluctuations in Two-Dimensional Clean Metals
• Ballistic correction to the density of states in an interacting three-dimensional metal
• Infrared absorption and Raman scattering on coupled plasmon--phonon modes in superlattices