THEORY OF SPIN WAVE INTERACTIONS IN FERROMAGNETISM

Abstract

The interactions of spin waves in an ideal Heisenberg model of a ferromagnet are studied. In particular, the effect of spin wave interactions on the free energy and spontaneous magnetization are examined. Treating a spin wave as a local phenomena, only binary collisions between spin waves need be considered at low temperature. The free energy of the system is developed as an expansion in terms of a binary kernal function; this binary kernal function is determined from the two particle propagator, which can formally be evaluated. When the free energy expansion is evaluated, the results of Dyson are obtained. That is, the lowest order correction term introduced in the spontaneous magnetization by spin wave interactions is of order T(4). (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0263805

Entities

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Collisions
  • Energy
  • Ferromagnetism
  • Free Energy
  • Low Temperature
  • Magnetic Phenomena
  • Magnetic Properties
  • Magnetization
  • Spin Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.