Efficient auxiliary-mode approach for time-dependent nanoelectronics | Zendy

Bogdan Popescu | Zendy; Alexander Croy | Zendy

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Efficient auxiliary-mode approach for time-dependent nanoelectronics

Author(s) -

Bogdan Popescu,

Alexander Croy

Publication year - 2016

Publication title -

new journal of physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.584

H-Index - 190

ISSN - 1367-2630

DOI - 10.1088/1367-2630/18/9/093044

Subject(s) - physics , formalism (music) , wave packet , differential equation , ordinary differential equation , mathematics , classical mechanics , wave function , quantum mechanics , statistical physics , art , musical , visual arts

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

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