Abstract
A calculation for the coherent scattering and conductance of magnons via atomicnanocontacts is presented. The model system is composed of two groups of semi-infinitemagnetically ordered Heisenberg monatomic chains, joined together by the magneticnanocontact, and the system is supported on a non-magnetic substrate and consideredotherwise free from magnetic interactions. The coherent transmission and reflectioncoefficients are derived as elements of a Landauer-type scattering matrix. Transmission andreflection scattering cross sections are calculated specifically for three distinct symmetricand asymmetric geometric configurations of the nanocontact. Three cases of local magneticexchange on the nanocontact domain are analysed for each configuration to investigate theinfluence of softening and hardening of the magnetic boundary conditions. In analogy withcoherent electronic transport, we calculate the magnon coherent transport. The numericalresults show the interference effects between the incident scattered magnons and thelocalized spin states on the nanocontact, with characteristic Fano resonances. Thenumerical results yield an understanding of the relationship between the coherentmagnon conductance and the architecture of the embedded magnetic nanocontact.
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