Indirect RKKY interaction in any dimensionality

1996/12/30 by D. N. Aristov · 2 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Antiferromagnetism #Condensed matter physics #Curse of dimensionality #Electron #Magnetic properties of thin films #Mathematical analysis #Mathematics #Nuclear magnetic resonance #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #RKKY interaction #Sign (mathematics) #Stacking #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.55.8064

3 pages, REVTEX, accepted to Phys.Rev. B

arxiv created 1996/12/30 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an analytical method which enables one to find the exact spatial dependence of the indirect RKKY interaction between the localized moments via the conduction electrons for the arbitrary dimensionality n. The corresponding momentum dependence of the Lindhard function is exactly found for any n as well. Demonstrating the capability of the method we find the RKKY interaction in a system of metallic layers weakly hybridized to each other. Along with usual 2k_F in-plane oscillations, the RKKY interaction has the sign-reversal character in a direction perpendicular to layers, thus favoring the antiferromagnetic type of layers' stacking.

Citations

• A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model

Cited by

• Quantum Decoherence of the Surface Code: A Generalized Caldeira-Leggett Approach
• Electrically controllable RKKY interaction in semiconductor quantum wires