We study the scaling properties of magnetic minor hysteresis loops in a polycrystalline dysprosium metal, varying temperature and magnetic-field amplitudes. We observe irreversibility-related hysteresis loss in the helical antiferromagnetic phase, which is related with remanent flux density as a power law with the same scaling exponent of 1:25 AE 0:05 as that in ferromagnetic materials. In contrast to hysteresis scalings in ferromagnets associated with 180Bloch walls, the observed law is governed by spiral walls which separate helical domains with oppositely rotating spins. DOI: 10.1103/PhysRevLett.106.057207 PACS numbers: 75.60.Ej, 75.60.Ch Magnetic domain wall, an interfacial region which separates domains with opposite magnetization, has been widely and extensively studied because of their technological and engineering applications such as future spintronics device and fundamental physical importances [1,2]. Their static and dynamical motion has led to diverse universal and scaling phenomena in Barkhausen avalanches [3][4][5], the field-velocity characteristics [6], and hysteresis behavior [7][8][9][10][11][12]. In particular, magnetic hysteresis loops, which reflect irreversible wall motion under pinning fields, have been shown to exhibit scaling power laws in their hysteresis parameters. For instance, for thin ferromagnetic films, dynamical hysteresis loop area A has been shown to relate with applied field strength H, frequency , and temperature T as A / H T À or A / ðdH=dtÞ with scaling exponents , , and [7][8][9]. On the other hand, for bulk ferromagnets, the empirical Steinmetz law, which relates static loop area, i.e., hysteresis loss W 1:6 , has been long known [10][11][12]. Nevertheless, all scaling laws are generally governed by the motion of 180 domain walls and have only been observed in ferromagnetic materials.In this Letter, we report the first observation of a scaling power law of magnetic hysteresis loops in a helical incommensurate magnetic phase with spins rotated from atomic layer to layer and with no net spontaneous magnetization. The observed law is governed by motion of spiral walls which separate helical domains with spins rotating clockwise or anticlockwise. We have focused on a bulk sample of heavy rare-earth metal Dy which shows a rich magnetic-temperature phase diagram with various types of magnetic ordering [13][14][15][16][17]. Below a Néel temperature of T N $ 180 K, Dy exhibits a helical antiferromagnetic (HAM) structure where magnetic moments confined on the hexagonal basal planes rotate from basal plane to basal plane. With decreasing temperature, the turn angle between the adjacent planes decreases from about 43.2 to 26.5 and the magnetic phase transition toward the ferromagnetic (FM) phase takes place at T c $ 90 K below which all the magnetic moments align ferromagnetically along the a axis. These magnetically ordered phases are stabilized as a consequence of magneto-crystalline anisotropy energy, magnetostriction energy, and long-range competing exchange interactions [1...