title: Anomalous Hall effect from frustration-tuned scalar chirality distribution in Pr2Ir2O7.
abstract: We study the anomalous Hall effect due to noncoplanar magnetism on a pyrochlore structure. We focus on the frustration-induced spatial inhomogeneity of different magnetic low-temperature regimes, between which one can efficiently tune using an external magnetic field. We incorporate nonmagnetic scattering on a phenomenological level so that we can distinguish between the effects of short-range correlations and short-range coherence. We obtain a Hall conductivity (σ(H)) as a function of field strength and direction which compares well to the experimental data of Pr(2)Ir(2)O(7). In particular, we show that the observed peak in σ(H) for H[parallel][111] signals the crossover from zero-field spin ice to kagome ice.
authors.affiliation: Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan.
authors.forename: M
authors.initials: M
authors.lastname: Udagawa
authors.forename: R
authors.initials: R
authors.lastname: Moessner