Wavepacket basis for time-dependent processes and its application to relaxation in resonant electronic transport

Abstract

Stroboscopic wavepacket basis sets [P. Bokes, F. Corsetti, R. W. Godby, Phys. Rev. Lett. 101, 046402 (2008)] are specifically tailored for a description of time-dependent processes in extended systems like non-periodic geometries of various contacts consisting of solids and molecules. The explanation of the construction of such a basis for two simple finite systems is followed by a review of the general theory for extended systems with continuous spectrum. The latter is further elaborated with the introduction of the interaction representation which takes the full advantage of the time-dynamics built into the basis. The formalism is applied to a semi-analytical example of electronic transport through resonant tunnelling barrier in 1D. Through the time-dependent generalisation of the Landauer formula given in terms of the Fourier expansion of the transmission amplitude we analyze the temporal character of the onset of the steady-state. Various time-scales in this process are shown to be directly related to the energetic structure of the resonant barrier.

References in corpus (6)

• Dynamical corrections to the DFT-LDA electron conductance in nanoscale systems
• Approach to steady state transport in nanoscale conductors
• Incompleteness of the Landauer Formula for Electronic Transport
• Stroboscopic wavepacket description of non-equilibrium many-electron problems
• Treatment of electron viscosity in quantum conductance
• First-Principles conductance of nanoscale junctions from the polarizability of finite systems

Cited by in corpus (4)

• Transient dynamics of molecular devices under step-like pulse bias
• Time operators in stroboscopic wavepacket basis and the time scales in tunneling
• Wavepacket representation of leads for efficient simulations of time-dependent electronic transport
• Stroboscopic wave packet description of time-dependent currents through ring-shaped nanostructures