Efficient auxiliary-mode approach for time-dependent nanoelectronics
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 di...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/9/093044 |
| _version_ | 1797750882354331648 |
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| author | Bogdan Stefan Popescu Alexander Croy |
| author_facet | Bogdan Stefan Popescu Alexander Croy |
| author_sort | Bogdan Stefan Popescu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:39:17Z |
| format | Article |
| id | doaj.art-36baea4301f7479ba9845430d25a5d09 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:39:17Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-36baea4301f7479ba9845430d25a5d092023-08-08T14:34:07ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118909304410.1088/1367-2630/18/9/093044Efficient auxiliary-mode approach for time-dependent nanoelectronicsBogdan Stefan Popescu0Alexander Croy1Max Planck Institute for the Physics of Complex Systems , Nöthnitzer Str. 38, Dresden, GermanyMax Planck Institute for the Physics of Complex Systems , Nöthnitzer Str. 38, Dresden, GermanyA 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.https://doi.org/10.1088/1367-2630/18/9/093044time-dependent transportnanoelectronicsTDNEGFopen quantum systemsLevitons |
| spellingShingle | Bogdan Stefan Popescu Alexander Croy Efficient auxiliary-mode approach for time-dependent nanoelectronics New Journal of Physics time-dependent transport nanoelectronics TDNEGF open quantum systems Levitons |
| title | Efficient auxiliary-mode approach for time-dependent nanoelectronics |
| title_full | Efficient auxiliary-mode approach for time-dependent nanoelectronics |
| title_fullStr | Efficient auxiliary-mode approach for time-dependent nanoelectronics |
| title_full_unstemmed | Efficient auxiliary-mode approach for time-dependent nanoelectronics |
| title_short | Efficient auxiliary-mode approach for time-dependent nanoelectronics |
| title_sort | efficient auxiliary mode approach for time dependent nanoelectronics |
| topic | time-dependent transport nanoelectronics TDNEGF open quantum systems Levitons |
| url | https://doi.org/10.1088/1367-2630/18/9/093044 |
| work_keys_str_mv | AT bogdanstefanpopescu efficientauxiliarymodeapproachfortimedependentnanoelectronics AT alexandercroy efficientauxiliarymodeapproachfortimedependentnanoelectronics |