2005/04/30 by Cord A. Müller, C. A. Mueller, C A Müller +9 · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1088/0305-4470/38/36/002
published as J. Phys. A: Math. Gen. 38 (2005) 7807 · published version, with a new figure and new section 5
openalex publication_date 2005/08/23 · arxiv created 2005/09/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Quantum effects in weakly disordered systems are governed by the properties of the elementary interaction between propagating particles and impurities. Long-range mesoscopic effects due to multiple scattering are derived by iterating the single scattering vertex, which has to be appropriately diagonalized. In the present paper, we present a systematic and detailed diagonalization of the diffuson and cooperon vertices responsible for weak localization effects. We obtain general expressions for eigenvalues and projectors onto eigenmodes, for any spin and arbitrary elementary interaction with impurities. This description provides a common frame for a unified theory of mesoscopic spin physics for electrons, photons and other quantum particles. We treat in detail the case of spin-flip scattering of electrons by freely orientable magnetic impurities and briefly review the case of photon scattering from degenerate dipole transitions in cold atomic gases.