C A Müller et al 2005 J. Phys. A: Math. Gen. 38 7807 doi:10.1088/0305-4470/38/36/002
C A Müller1, C Miniatura2, E Akkermans3 and G Montambaux4
Show affiliationsQuantum 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.
15A18 Eigenvalues, singular values, and eigenvectors
82C44 Dynamics of disordered systems (random Ising systems, etc.)
Issue 36 (9 September 2005)
Received 7 April 2005, in final form 28 July 2005
Published 23 August 2005
C A Müller et al 2005 J. Phys. A: Math. Gen. 38 7807
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