We have performed ab initio calculations of a possible complex noncoll
inear magnetic structure in aluminium-rich Al-Mn liquids within the re
al-space tight-binding linear muffin-tin orbital method. In our previo
us work we predicted the existence of large magnetic moments in Al-Mn
liquids [A. M. Bratkovsky, A. V. Smirnov, D. N. Manh, and A. Pasturel,
Phys. Rev. B 52, 3056 (1995)], which has been very recently confirmed
experimentally. Our present calculations show that there is a strong
tendency for the moments on Mn to have a noncollinear (random) order r
etaining their large value of about 3 mu(B). The d electrons on Mn dem
onstrate a pronounced non-rigid-band behavior which cannot be reproduc
ed within a simple Stoner picture. The origin of the magnetism in thes
e systems is a topological disorder which drives the moments formation
and frustrates their directions in the liquid phase.