  An incommensurate elliptical helical magnetic structure in the frustrated
coupled-spin-chain system FeTe2O5Br is surprisingly found to persist down to
53(3) mK (T/T_N ~ 1/200), according to neutron scattering and muon spin
relaxation. In this state, finite spin fluctuations at T -> 0 are evidenced by
muon depolarization, which is in agreement with specific-heat data indicating
the presence of both gapless and gapped excitations. We thus show that the
amplitude-modulated magnetic order intrinsically accommodates contradictory
persistent spin dynamics and long-range order and can serve as a model
structure to investigate their coexistence.
