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We present a theory describing spiral magnets with Dzyaloshinskii-Moriyainteraction (DMI) subject to bond disorder at small concentration $c$ ofdefects. It is assumed that both DMI and exchange coupling are changed onimperfect bonds. Qualitatively the same physical picture is obtained in twomodels which are considered in detail: B20 cubic helimagnets and layeredmagnets in which DMI leads to a long-period spiral ordering perpendicular tolayers. We find that the distortion of the spiral magnetic ordering around asingle imperfect bond is long-range: values of additional turns of spins decaywith the distance $r$ to the defect as $1/r^2$ being governed by the Poisson'sequation for electric dipole. At finite concentration of randomly distributedimperfect bonds, we calculate correction to the spiral vector. We show thatthis correction can change the sign of spin chirality even at $c\ll1$ ifdefects are strong enough. It is demonstrated that impurities lead to a diffuseelastic neutron scattering which has power-law singularities at magnetic Braggpeaks positions. Then, each Bragg peak acquires power-law decaying tails.Corrections are calculated to the magnon energy and to its damping caused byscattering on impurities.

Spiral magnets with Dzyaloshinskii-Moriya interaction containing defect bonds