Nonanalytic Magnetization Dependence of the Magnon Effective Mass in Itinerant Quantum Ferromagnets

Author

Dietrich Belitz
Theodore R. Kirkpatrick
Andrew J. Millis
Thomas Vojta, Missouri University of Science and TechnologyFollow

Abstract

The spin-wave dispersion relation in both clean and disordered itinerant quantum ferromagnets is calculated. It is found that effects akin to weak-localization physics cause the frequency of the spin waves to be a nonanalytic function of the magnetization m. For low frequencies Ω, small wave vectors k, and m→0, the dispersion relation is found to be of the form Ω=const x m^1-αk², with α = (4-d)/2 (2 < d < 4) for disordered systems, and α = (3-d) (1 < d < 3) for clean ones. In d = 4 (disordered) and d = 3 (clean), Ωαm ln (1/m) k². Experiments to test these predictions are proposed.

Recommended Citation

D. Belitz et al., "Nonanalytic Magnetization Dependence of the Magnon Effective Mass in Itinerant Quantum Ferromagnets," Physical Review B (Condensed Matter), vol. 58, no. 21, pp. 14155 - 14158, American Physical Society (APS), Dec 1998.

The definitive version is available at https://doi.org/10.1103/PhysRevB.58.14155

Department(s)

Physics

International Standard Serial Number (ISSN)

0163-1829

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1998 American Physical Society (APS), All rights reserved.

Publication Date

01 Dec 1998