1999/02/03 by Stephan Roche, Didier Mayou
Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Aperiodic graph #Computation #Condensed matter physics #Context (archaeology) #Ferromagnetism #Formalism (music) #Geology #Magnetic properties of thin films #Mathematics #Physics #Quasicrystal Structures and Properties #Quasiperiodic function #RKKY interaction #Spins #Statistical physics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.60.322
8 pages, 8 figures
arxiv created 1999/02/03 · openalex publication_date 1999/07/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
A numerical method to investigate the Rudermann-Kittel-Kasuya-Yosida (RKKY) interaction between localized spins in aperiodic materials is presented. Based on an expansion of the spectral measure on orthogonal polynomials, this approach leads to an effective framework to analyze linear response formula for the RKKY coupling in complex systems. Particularly useful in the tight-binding scheme it is used in this paper to understand the role of the local environment and the quasiperiodic potential on the interaction between magnetic spins. Interesting features are revealed and discussed within the context of anomalous localization and transport.