D. Belitz et al., Nonanalytic magnetization dependence of the magnon effective mass in itinerant quantum ferromagnets, PHYS REV B, 58(21), 1998, pp. 14155-14158
The spin-wave dispersion relation in both clean and disordered itinerant qu
antum ferromagnets is calculated. It is found that effects akin to weak-loc
alization physics cause the frequency of the spin waves to be a nonanalytic
function of the magnetization m. For low frequencies Omega, small wave vec
tors k, and m-->0, the dispersion relation is found to be of the form Omega
= constXm(1-alpha)k(2), with alpha=(4-d)/2 (2<d<4) for disordered systems,
and alpha=(3-d) (1<d<3) for clean ones. In d=4 (disordered) and d=3 (clean
), Omega proportional to m 1n(1/m)k(2). Experiments to test these predictio
ns are proposed. [S0163-1829(98)06045-7].