2015/04/13 by Y. Pavlyukh, Michael Schüler, M. Schüler +2 · 19 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Chemistry #Electron #Excitation #GW approximation #Geometry #Hamiltonian (control theory) #Mathematics #Molecular Junctions and Nanostructures #Non-equilibrium thermodynamics #Operator (biology) #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quasiparticle #Rotation formalisms in three dimensions #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.91.155116
published in Physical Review B 91(15) (American Physical Society) · 8 figures
openalex publication_date 2015/04/13 · arxiv created 2015/04/21 · arxiv updated 2015/04/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This work provides a unified theoretical treatment of the single- and correlated double-electron emission from a general electronic system. Using Feshbach projection method, the states of interest are selected by the projection operator; the Feshbach-Schur map determines the effective Hamiltonian and the optical potential for the emitted electrons. On the other hand, the nonequilibrium Green's functions method is demonstrated to be a complementary approach, and an explicit correspondence between both methods is established. For a self-contained exposition, some results on single-electron emission are rederived using both formalisms. New insights and results are obtained for the correlated electron-pair emission: This includes the effective two-electron Hamiltonian, the explicit form of the Feshbach self-energy in terms of the many-body self-energies, and the diagrammatic expansion of the two-particle current. As an illustration of the diagrammatic technique, the process of the two-particle emission assisted by the excitation of plasmons is explicitly worked out.