HAIT Journal of Science and Engineering
Volume 1, Issue 3, pp. 517-527
© 2004 Holon Academic Institute of Technology


On the theory of polarized Fermi liquid

Vladimir P. Mineev

Commissariat a l'Energie Atomique, DSM,
Departement de Recherche Fondamentale sur la Matiere Condensee, SPSMS
17 Rue des Martyrs, Grenoble 38054, France
e-mail: mineev@drfmc.ceng.cea.fr
Received 24 November 2004, accepted 15 December 2004


Making use the quantum-field theoretical approach we derive the dispersion law for the transverse spin waves in a weakly polarized Fermi liquid at T=0. Along with the dissipationless part inversely proportional to the polarization, it contains also the finite zero-temperature damping. The polarization dependence of both dissipative and reactive part of diffusion constant corresponds to the dependences found earlier by means of kinetic equation with a two-particle collision integral. It is shown that similar derivation for "ferromagnetic Fermi" liquid taking into consideration the divergency of static transverse susceptibility, also leads to the same attenuating spin wave spectrum. Hence, in both cases we deal in fact with spin polarized Fermi liquid but not with isotropic itinerant ferromagnet where the zero temperature attenuation is prohibited by the Goldstone theorem. It demonstrates the troubles of the Fermi liquid formulation of a theory of itinerant ferromagnetic systems.

PACS: 71.10.Ay, 75.10.Lp, 67.65.+z


Presented at International Workshop Correlated Electrons at High Magnetic Fields. Ein-Gedi/Holon, Israel, 19-23 December 2004

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