Time-dependent quantum transport: An exact formulation based on TDDFT

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Abstract

An exact theoretical framework based on Time Dependent Density Functional Theory (TDDFT) is proposed in order to deal with the time-dependent quantum transport in fully interacting systems. We use a partition-free approach by Cini in which the whole system is in equilibrium before an external electric field is switched on. Our theory includes the interactions between the leads and between the leads and the device. It is well suited for calculating measurable transient phenomena as well as a.c. and other time-dependent responses. We show that the steady-state current results from a dephasing mechanism provided the leads are macroscopic and the device is finite. In the d.c. case, we obtain a Landauer-like formula when the effective potential of TDDFT is uniform deep inside the electrodes.

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  • Physical Sciences
Original languageEnglish
Pages (from-to)14-20
JournalEurophysics Letters
Volume67
Issue number1
Publication statusPublished - 2004
Publication categoryResearch
Peer-reviewedYes