Scattering theory of transport through disordered magnets

Abstract

We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used to model random spin disorder systems and amorphous materials, respectively. We utilize the Landauer-Buttiker formalism to compute the transmission probability and spin conductance of one-dimensional disordered spin chains. The RFM and the RAM both exhibit Anderson localization, which means that the transmission probability and spin conductance decay exponentially with the system length. We define two localization lengths based on the transmission probability and the spin conductance, respectively. Next, we numerically determine the relationship between the localization lengths and the strength of the disorder. In the limit of weak disorder, we find that the localization lengths obey power laws and determine the critical exponents. Our results are expressed via the universal exchange length and are therefore expected to be general.

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Cited by in corpus (3)

• Bosonic Bott Index and Disorder-Induced Topological Transitions of Magnons
• Absence of evidence of spin transport through amorphous Y${}_3$Fe${}_5$O${}_{12}$
• Dynamically stabilized spin superfluidity in frustrated magnets