Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
1940/12/15 by T. Holstein, H. Primakoff · 4,049 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Condensed matter physics #Dipole #Exchange interaction #Ferromagnetism #Field (mathematics) #Magnetic Properties and Applications #Magnetic field #Magnetic properties of thin films #Magnetization #Mathematics #Physics #Quantum mechanics
paper · doi:10.1103/physrev.58.1098
published in Physical Review 58(12), 1098-1113 (American Institute of Physics)
openalex publication_date 1940/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract
In this paper, the variation of the intrinsic domain magnetization of a ferromagnetic with the external magnetic field, is obtained. The basis of the treatment is the exchange interaction model amplified by explicit consideration of the dipole-dipole interaction between the atomic magnets. Approximations appropriate to low temperatures and equivalent to those used by Bloch in his derivation of the T1 law, are introduced. The resultant expression for the intrinsic volume susceptibility decreases slowly with increasing field; at high fields the functional dependence is as the inverse square root of the field. The variation with temperature is linear; at room temperature and for fields of about 4000 gauss, the order of magnitude of the (volume) susceptibility is 10^\ensuremath-4. The results are compared with experiment and satisfactory agreement is found.
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