Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance

Decoherent transport in mesoscopic and nanoscopic systems can be formulated in terms of the D'Amato–Pastawski (DP) model. This generalizes the Landauer–Büttiker picture by considering a distribution of local decoherent processes. However, its generalization for multi-terminal set-ups is lacking...

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Autores principales: Cattena, Carlos J., Bustos Marún, Raúl A., Fernández Alcázar, Lucas J., Nozaki, Daijiro, Pastawski, Horacio M.
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Generalized Landauer-Büttiker equations
D'Amato-Pastawski model
Giant magnetoresistance
Saser
Acceso en línea:http://hdl.handle.net/11086/28416
https://doi.org/10.48550/arXiv.1311.2231
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-28416
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Generalized Landauer-Büttiker equations
D'Amato-Pastawski model
Giant magnetoresistance
Saser
spellingShingle Generalized Landauer-Büttiker equations
D'Amato-Pastawski model
Giant magnetoresistance
Saser
Cattena, Carlos J.
Bustos Marún, Raúl A.
Fernández Alcázar, Lucas J.
Nozaki, Daijiro
Pastawski, Horacio M.
Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
topic_facet Generalized Landauer-Büttiker equations
D'Amato-Pastawski model
Giant magnetoresistance
Saser
description Decoherent transport in mesoscopic and nanoscopic systems can be formulated in terms of the D'Amato–Pastawski (DP) model. This generalizes the Landauer–Büttiker picture by considering a distribution of local decoherent processes. However, its generalization for multi-terminal set-ups is lacking. We first review the original two-terminal DP model for decoherent transport. Then, we extend it to a matrix formulation capable of dealing with multi-terminal problems. We also introduce recursive algorithms to evaluate the Green's functions for general banded Hamiltonians as well as local density of states, effective conductances and voltage profiles. We finally illustrate the method by analyzing two problems of current relevance. (1) Assessing the role of decoherence in a model for phonon lasers (SASER). (2) Obtaining the classical limit of giant magnetoresistance from a spin-dependent Hamiltonian. The presented methods should pave the way for computationally demanding calculations of transport through nanodevices, bridging the gap between fully coherent quantum schemes and semiclassical ones.
format article
author Cattena, Carlos J.
Bustos Marún, Raúl A.
Fernández Alcázar, Lucas J.
Nozaki, Daijiro
Pastawski, Horacio M.
author_facet Cattena, Carlos J.
Bustos Marún, Raúl A.
Fernández Alcázar, Lucas J.
Nozaki, Daijiro
Pastawski, Horacio M.
author_sort Cattena, Carlos J.
title Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
title_short Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
title_full Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
title_fullStr Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
title_full_unstemmed Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
title_sort generalized multi-terminal decoherent transport: recursive algorithms and applications to saser and giant magnetoresistance
publishDate 2022
url http://hdl.handle.net/11086/28416
https://doi.org/10.48550/arXiv.1311.2231
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