  We show that a one-dimensional quantum wire with as few as 2 channels of
interacting fermions can host metallic states of matter that are stable against
all perturbations up to $q^\text{th}$-order in fermion creation/annihilation
operators for any fixed finite $q$. The leading relevant perturbations are thus
complicated operators that are expected to modify the physics only at very low
energies, below accessible temperatures. The stability of these non-Fermi
liquid fixed points is due to strong interactions between the channels, which
can (but need not) be chosen to be purely repulsive. Our results might enable
elementary physical realizations of these phases.
