Nonanalytic Behavior of the Spin Susceptibility in Clean Fermi Systems

Author

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

Abstract

The wave vector and temperature-dependent static spin susceptibility, X_s(Q, T), of clean interacting Fermi systems is considered in dimensions 1 ≤ d ≤ 3. We show that at zero temperature X_s is a nonanalytic function of |Q|, with the leading nonanalyticity being |Q|^d-1 for 1 < d < 3, and Q²ln|Q| for d = 3. For the homogeneous spin susceptibility we find a nonanalytic temperature dependence T^d-1 for 1 < d < 3. We give qualitative mode-mode coupling arguments to that effect, and corroborate these arguments by a perturbative calculation to second order in the electron-electron interaction amplitude. The implications of this, in particular for itinerant ferromagnetism, are discussed. We also point out the relation between our findings and established perturbative results for one-dimensional systems, as well as for the temperature dependence of X_s(Q = 0) in d = 3.

Recommended Citation

D. Belitz et al., "Nonanalytic Behavior of the Spin Susceptibility in Clean Fermi Systems," Physical Review B (Condensed Matter), vol. 55, no. 15, pp. 9452 - 9462, American Physical Society (APS), Apr 1997.

The definitive version is available at https://doi.org/10.1103/PhysRevB.55.9452

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

© 1997 American Physical Society (APS), All rights reserved.

Publication Date

01 Apr 1997