Title :
Electronic interactions in quantum dots within the Keldsyh formalism
Author :
Bevilacqua, Giuseppe ; Parravicini, Giuseppe Pastori
Author_Institution :
Dipt. di Fis., Univ. di Siena, Siena, Italy
Abstract :
Within the Keldysh formalism, we consider electron transport through single-level quantum dots, and revisit the proper self-energy diagram up to quadratic terms in the Coulomb interaction. Convolutions of Green´s functions in real energy domain are analyzed in terms of retarded and advanced, lesser and greater, time-ordered and anti-time-ordered components. By virtue of the multipole expansion of the Fermi functions and other elaborations, we provide elegant and fully analytic expressions for the various components of the bubble diagram, with promise of deeper insight on the many-body effects in biased devices.
Keywords :
Fermi surface; Green´s function methods; Kondo effect; many-body problems; quantum dots; Coulomb interaction; Fermi function multipole expansion; Green functions; Keldsyh formalism; bubble diagram; electron transport; electronic interactions; many-body effects; proper self-energy diagram; quadratic terms; real energy domain; single-level quantum dots; Charge carrier processes; Electrodes; Electrons; Green´s function methods; Impurities; Physics; Quantum dots; Reservoirs; Solid state circuits; Testing;
Conference_Titel :
Emerging Trends in Electronic and Photonic Devices & Systems, 2009. ELECTRO '09. International Conference on
Conference_Location :
Varanasi
Print_ISBN :
978-1-4244-4846-3
DOI :
10.1109/ELECTRO.2009.5441152
