Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance
Fil: Cattena, Carlos J. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
| Main Authors: | , , , , |
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| Format: | submittedVersion |
| Language: | eng |
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2022
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| Online Access: | http://hdl.handle.net/11086/28416 https://doi.org/10.48550/arXiv.1311.2231 |
| _version_ | 1801216136500477952 |
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| 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. |
| collection | Repositorio Digital Universitario |
| description | Fil: Cattena, Carlos J. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. |
| format | submittedVersion |
| id | rdu-unc.28416 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.284162022-11-14T17:10:19Z Generalized multi-terminal decoherent transport: recursive algorithms and applications to SASER and giant magnetoresistance Cattena, Carlos J. Bustos Marún, Raúl A. Fernández Alcázar, Lucas J. Nozaki, Daijiro Pastawski, Horacio M. Generalized Landauer-Büttiker equations D'Amato-Pastawski model Giant magnetoresistance Saser submittedVersion Fil: Cattena, Carlos J. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Bustos Marún, Raúl A. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Fernández Alcázar, Lucas J. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Pastawski, Horacio M. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Bustos Marún, Raúl A. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas; Argentina. Fil: Pastawski, Horacio M. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Pastawski, Horacio M. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Nozaki, Daijiro. Dresden University of Technology. Institute for Materials Science. Max Bergmann Center of Biomaterials; Germany 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. submittedVersion Fil: Cattena, Carlos J. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Bustos Marún, Raúl A. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Fernández Alcázar, Lucas J. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Pastawski, Horacio M. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Bustos Marún, Raúl A. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas; Argentina. Fil: Pastawski, Horacio M. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Pastawski, Horacio M. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Nozaki, Daijiro. Dresden University of Technology. Institute for Materials Science. Max Bergmann Center of Biomaterials; Germany Física de los Materiales Condensados 2022-09-01T18:17:47Z 2022-09-01T18:17:47Z 2014 article http://hdl.handle.net/11086/28416 https://doi.org/10.48550/arXiv.1311.2231 eng De la versión publicada: https://doi.org/10.1088/0953-8984/26/34/345304 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital ISSN 0953-8984 |
| 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 |
| title | 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_short | 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 |
| topic | Generalized Landauer-Büttiker equations D'Amato-Pastawski model Giant magnetoresistance Saser |
| url | http://hdl.handle.net/11086/28416 https://doi.org/10.48550/arXiv.1311.2231 |
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