  We study a distinct type of non-Fermi liquid where there exists an infinite
number of critical bosonic modes instead of a finite number of bosonic modes
for the conventional ones. We consider itinerant magnets with both conduction
electrons and fluctuating magnetic moments in three dimensions. With the
Dzyaloshinskii-Moriya interaction, the moments fluctuate near a boson surface
in the reciprocal space at low energies when the system approaches an ordering
transition. The infinite number of critical modes on the boson surface strongly
scatter the gapless electrons on the Fermi surface and convert the metallic
sector into a non-Fermi liquid. We explain the physical properties of this
non-Fermi liquid. On the ordered side, a conventional non-Fermi liquid emerges
due to the scattering by the gapless Goldstone mode from the spontaneous
breaking of the global rotational symmetry. We discuss the general structure of
the phase diagram in the vicinity of the quantum phase transition and clarify
various crossover behaviors.

Strongly Correlated Electrons;Materials Science;Statistical Mechanics