Current conservation in two-dimensional AC-transport

Abstract

The electric current conservation in a two-dimensional quantum wire under a time dependent field is investigated. Such a conservation is obtained as the global density of states contribution to the emittance is balanced by the contribution due to the internal charge response inside the sample. However when the global partial density of states is approximately calculated using scattering matrix only, correction terms are needed to obtain precise current conservation. We have derived these corrections analytically using a specific two-dimensional system. We found that when the incident energy $E$ is near the first subband, our result reduces to the one-dimensional result. As $E$ approaches to the $n$-th subband with $n>1$, the correction term diverges. This explains the systematic deviation to precise current conservation observed in a previous numerical calculation.

12 pages Latex, submitted to Phys. Rev. B

References in corpus (4)

• Charging Effects in Ultrasmall Quantum Dots in the Presence of Time-Varying Fields
• Low frequency admittance of a quantum point contact
• Partial Densities of States, Scattering Matrices, and Green's Functions
• General relation between state density and dwell times in mesoscopic systems

Cited by in corpus (9)

• Nonlinear I-V Characteristics of a Mesoscopic Conductor
• Weakly Nonlinear AC Response: Theory and Application
• Scattering Matrix Theory For Nonlinear Transport
• Scaling behavior in a quantum wire with scatterers
• Resonances in a two-dimensional electron waveguide with a single delta-function scatterer
• Semiclassical approach to the ac-conductance of chaotic cavities
• Low Frequency Quantum Transport in a Three-probe Mesoscopic Conductor
• Weakly nonlinear quantum transport: an exactly solvable model
• Quasibound states at thresholds in multichannel impurity scattering