Anomalous Hall Effect in Frustrated Magnets

Comparative analysis of Hall effect in substitutional solid solutions Ho0.5Lu0.5B12, Mn1 – xFexSi (0 ≤ x ≤ 1) and Eu1 – xGdxB6 (x < 0.04) is carried out at temperatures 2–300 K in magnetic fields up to 8 T. Anomalous contribution to the Hall effect $$\rho _{{xy}}^{{\text{A}}}$$ ~ $${{\rho }_{{xx}}}M$$ has been identified for systems with various types of magnetic frustration. The linear scaling $$\rho _{{xy}}^{{\text{A}}}$$ ~ ρxx is detected in the resistivity range ρxx ~ 0.01–1 mΩ cm lying outside the range of applicability of the classical model of asymmetric scattering. It is associated with the increase in the amplitude of spin fluctuations in the paramagnetic phase of the investigated compounds with noncollinear magnetic structure. The topological contribution to the Hall effect is extracted for Ho0.5Lu0.5B12 and Eu1 – xGdxB6. Its amplitude is found to vary from 80 nΩ cm (Ho0.5Lu0.5B12) to 7.5 μΩ cm (Eu0.97Gd0.03B6).