6533b82bfe1ef96bd128cf00

RESEARCH PRODUCT

Parametrization of scatterers in the Landauer-Büttiker transport theory.

Michael SchreiberK. MaschkeG. Burmeister

subject

PhysicsCouplingMatrix (mathematics)Reflection (mathematics)Chain (algebraic topology)Condensed matter physicsScatteringPhase (waves)ElectronStatistical physicsParametrization

description

Electronic dc transport along a finite chain of scatterers that allow for elastic as well as inelastic processes is described within the Landauer-Buttiker approach. The transport channels in the chain are locally coupled via (current-conserving) side channels to electron reservoirs or heat baths that provide the phase randomization. Different choices for the parameters describing the inelastic coupling as well as the elastic (transmission and reflection) coefficients are compared. The scattering matrix of the chain is calculated with a recursive method. We show that the most general individual scatterer can be characterized by five parameters only, and that it can be represented by a subset of unitary 4×4 matrices

10.1103/physrevb.47.7095https://pubmed.ncbi.nlm.nih.gov/10004705