Efficient auxiliary-mode approach for time-dependent nanoelectronics

Popescu, Bogdan Stefan; Croy, Alexander

doi:10.1088/1367-2630/18/9/093044

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Efficient auxiliary-mode approach for time-dependent nanoelectronics

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Popescu, Bogdan Stefan
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Croy, Alexander
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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http://iopscience.iop.org/article/10.1088/1367-2630/18/9/093044
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Citation

Popescu, B. S., & Croy, A. (2016). Efficient auxiliary-mode approach for time-dependent nanoelectronics. New Journal of Physics, 18: 093044. doi:10.1088/1367-2630/18/9/093044.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-BC45-6

Abstract

A new scheme for numerically solving the equations arising in the time-dependent non-equilibrium Green's function formalism is developed. It is based on an auxiliary-mode expansion of the self-energies which convert the complicated set of integro-differential equations into a set of ordinary differential equations. In the new scheme all auxiliary matrices are replaced by vectors or scalars. This drastically reduces the computational effort and memory requirements of the method, rendering it applicable to topical problems in electron quantum optics and molecular electronics. As an illustrative example we consider the dynamics of a Leviton wave-packet in a 1D wire.