03888nam a22006015i 4500 978-3-031-55619-7 DE-He213 20251030112849.0 cr nn 008mamaa 240812s2024 sz | s |||| 0|eng d 9783031556197 978-3-031-55619-7 10.1007/978-3-031-55619-7 doi QC173.45-173.458 PHFC bicssc SCI077000 bisacsh PHFC thema Donarini, Andrea. author. aut http://id.loc.gov/vocabulary/relators/aut 82226 Quantum Transport in Interacting Nanojunctions [electronic resource] : A Density Matrix Approach / by Andrea Donarini, Milena Grifoni. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XX, 574 p. 138 illus., 133 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Physics, 1616-6361 ; 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. Condensed matter. 66773 Quantum physics. 66608 Statistical Physics. 70323 Quantum dots. Superconductors Chemistry. 67783 Condensed Matter Physics. 71872 Quantum Physics. 66608 Statistical Physics. 70323 Quantum Dots. Superconductors. 67787 Grifoni, Milena. author. aut http://id.loc.gov/vocabulary/relators/aut 82227 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031556180 Printed edition: 9783031556203 Lecture Notes in Physics, 1616-6361 ; 1024 72070 https://doi.org/10.1007/978-3-031-55619-7 ZDB-2-PHA ZDB-2-SXP ZDB-2-LNP 62403 62403