Quantum transport in interacting nanojunctions: a density matrix approach
This book serves as an introduction to the growing field of quantum many-body transport in interacting nanojunctions. It delves into a theoretical approach based on a general density-matrix formulation for open quantum systems. In the book, relevant transport observables, like the current or its hig...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2024]
|
| Ausgabe: | 1st ed. 2024 |
| Schriftenreihe: | Lecture notes in physics
volume 1024 |
| Schlagworte: | |
| Zusammenfassung: | This book serves as an introduction to the growing field of quantum many-body transport in interacting nanojunctions. It delves into a theoretical approach based on a general density-matrix formulation for open quantum systems. In the book, relevant transport observables, like the current or its higher order cumulants, are obtained by evaluating quantum statistical averages. This approach requires the knowledge of the reduced density matrix of the interacting nanosystems.The formulation for addressing transport problems, based on the evolution of the reduced density operator in Liouville space, is highly versatile. It enables the treatment of charge and spin transport across various realistic nanostructures. Topics encompass standard Coulomb blockade, cotunneling phenomena in quantum dots, vibrational and Franck-Condon effects in molecular junctions, as well as many-body interference observed in double quantum dots or carbon nanotubes.Derived from lectures tailored for graduate and advanced students at the University of Regensburg in Germany, this book is enriched with exercises and step-by-step derivations |
| Beschreibung: | Part I: Transport Theory.- 1. Preliminary Concepts.- 2. The Quantum Transport Problem.- 3. Linear Transport within Kubo Formalism.- 4. Density Matrix Methods for Quantum Transport.- 5. Diagrammatic Formulation of Transport in Liouville space.- Part II: Interacting Nanojunctions.- 6. The Single Impurity Anderson Model.- 7. Double Quantum Dots.- 8. Quantum Dot Molecules.- 9. Junctions with Ferromagnetic Electrodes.- 10. Transport in Molecular Junctions.- 11. Junctions with Superconducting Leads.- 12. Solutions. |
| Beschreibung: | xx, 574 Seiten Illustrationen 235 mm |
| ISBN: | 9783031556180 |
Internformat
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| 490 | 1 | |a Lecture notes in physics |v volume 1024 | |
| 500 | |a Part I: Transport Theory.- 1. Preliminary Concepts.- 2. The Quantum Transport Problem.- 3. Linear Transport within Kubo Formalism.- 4. Density Matrix Methods for Quantum Transport.- 5. Diagrammatic Formulation of Transport in Liouville space.- Part II: Interacting Nanojunctions.- 6. The Single Impurity Anderson Model.- 7. Double Quantum Dots.- 8. Quantum Dot Molecules.- 9. Junctions with Ferromagnetic Electrodes.- 10. Transport in Molecular Junctions.- 11. Junctions with Superconducting Leads.- 12. Solutions. | ||
| 520 | |a This book serves as an introduction to the growing field of quantum many-body transport in interacting nanojunctions. It delves into a theoretical approach based on a general density-matrix formulation for open quantum systems. In the book, relevant transport observables, like the current or its higher order cumulants, are obtained by evaluating quantum statistical averages. This approach requires the knowledge of the reduced density matrix of the interacting nanosystems.The formulation for addressing transport problems, based on the evolution of the reduced density operator in Liouville space, is highly versatile. It enables the treatment of charge and spin transport across various realistic nanostructures. Topics encompass standard Coulomb blockade, cotunneling phenomena in quantum dots, vibrational and Franck-Condon effects in molecular junctions, as well as many-body interference observed in double quantum dots or carbon nanotubes.Derived from lectures tailored for graduate and advanced students at the University of Regensburg in Germany, this book is enriched with exercises and step-by-step derivations | ||
| 650 | 4 | |a Quantum physics | |
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Datensatz im Suchindex
| _version_ | 1818065986189787136 |
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| author | Donarini, Andrea 1977- Grifoni, Milena ca. 20./21. Jh |
| author_GND | (DE-588)1349497614 (DE-588)1349499307 |
| author_facet | Donarini, Andrea 1977- Grifoni, Milena ca. 20./21. Jh |
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| author_sort | Donarini, Andrea 1977- |
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| building | Verbundindex |
| bvnumber | BV049798629 |
| classification_rvk | UP 3150 UP 3200 UD 8220 |
| ctrlnum | (OCoLC)1466933138 (DE-599)BVBBV049798629 |
| discipline | Physik |
| edition | 1st ed. 2024 |
| format | Book |
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| id | DE-604.BV049798629 |
| illustrated | Illustrated |
| indexdate | 2024-12-10T15:00:36Z |
| institution | BVB |
| isbn | 9783031556180 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035139297 |
| oclc_num | 1466933138 |
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| owner_facet | DE-29T DE-355 DE-BY-UBR DE-384 |
| physical | xx, 574 Seiten Illustrationen 235 mm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Donarini, Andrea 1977- Verfasser (DE-588)1349497614 aut Quantum transport in interacting nanojunctions a density matrix approach Andrea Donarini, Milena Grifoni Cham, Switzerland Springer [2024] xx, 574 Seiten Illustrationen 235 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics volume 1024 Part I: Transport Theory.- 1. Preliminary Concepts.- 2. The Quantum Transport Problem.- 3. Linear Transport within Kubo Formalism.- 4. Density Matrix Methods for Quantum Transport.- 5. Diagrammatic Formulation of Transport in Liouville space.- Part II: Interacting Nanojunctions.- 6. The Single Impurity Anderson Model.- 7. Double Quantum Dots.- 8. Quantum Dot Molecules.- 9. Junctions with Ferromagnetic Electrodes.- 10. Transport in Molecular Junctions.- 11. Junctions with Superconducting Leads.- 12. Solutions. This book serves as an introduction to the growing field of quantum many-body transport in interacting nanojunctions. It delves into a theoretical approach based on a general density-matrix formulation for open quantum systems. In the book, relevant transport observables, like the current or its higher order cumulants, are obtained by evaluating quantum statistical averages. This approach requires the knowledge of the reduced density matrix of the interacting nanosystems.The formulation for addressing transport problems, based on the evolution of the reduced density operator in Liouville space, is highly versatile. It enables the treatment of charge and spin transport across various realistic nanostructures. Topics encompass standard Coulomb blockade, cotunneling phenomena in quantum dots, vibrational and Franck-Condon effects in molecular junctions, as well as many-body interference observed in double quantum dots or carbon nanotubes.Derived from lectures tailored for graduate and advanced students at the University of Regensburg in Germany, this book is enriched with exercises and step-by-step derivations Quantum physics Statistical Physics Quantum dots Superconductors—Chemistry Condensed matter Transportprozess (DE-588)4185932-7 gnd rswk-swf Dichtematrix (DE-588)4149624-3 gnd rswk-swf Nanostruktur (DE-588)4204530-7 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Hardcover, Softcover / Physik, Astronomie/Atomphysik, Kernphysik Dichtematrix (DE-588)4149624-3 s Transportprozess (DE-588)4185932-7 s Quantenmechanik (DE-588)4047989-4 s Nanostruktur (DE-588)4204530-7 s DE-604 Grifoni, Milena ca. 20./21. Jh. Verfasser (DE-588)1349499307 aut Erscheint auch als Online-Ausgabe 978-3-031-55619-7 Lecture notes in physics volume 1024 (DE-604)BV000003166 1024 |
| spellingShingle | Donarini, Andrea 1977- Grifoni, Milena ca. 20./21. Jh Quantum transport in interacting nanojunctions a density matrix approach Quantum physics Statistical Physics Quantum dots Superconductors—Chemistry Condensed matter Transportprozess (DE-588)4185932-7 gnd Dichtematrix (DE-588)4149624-3 gnd Nanostruktur (DE-588)4204530-7 gnd Quantenmechanik (DE-588)4047989-4 gnd Lecture notes in physics |
| subject_GND | (DE-588)4185932-7 (DE-588)4149624-3 (DE-588)4204530-7 (DE-588)4047989-4 |
| title | Quantum transport in interacting nanojunctions a density matrix approach |
| title_auth | Quantum transport in interacting nanojunctions a density matrix approach |
| title_exact_search | Quantum transport in interacting nanojunctions a density matrix approach |
| title_full | Quantum transport in interacting nanojunctions a density matrix approach Andrea Donarini, Milena Grifoni |
| title_fullStr | Quantum transport in interacting nanojunctions a density matrix approach Andrea Donarini, Milena Grifoni |
| title_full_unstemmed | Quantum transport in interacting nanojunctions a density matrix approach Andrea Donarini, Milena Grifoni |
| title_short | Quantum transport in interacting nanojunctions |
| title_sort | quantum transport in interacting nanojunctions a density matrix approach |
| title_sub | a density matrix approach |
| topic | Quantum physics Statistical Physics Quantum dots Superconductors—Chemistry Condensed matter Transportprozess (DE-588)4185932-7 gnd Dichtematrix (DE-588)4149624-3 gnd Nanostruktur (DE-588)4204530-7 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantum physics Statistical Physics Quantum dots Superconductors—Chemistry Condensed matter Transportprozess Dichtematrix Nanostruktur Quantenmechanik |
| volume_link | (DE-604)BV000003166 |
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