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Anomalous Hall Effect from Frustration-Tuned Scalar Chirality Distribution in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Pr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Ir</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="bold">O</mml:mi><mml:mn>7</mml:mn></mml:msub></mml:math>
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Description
We analyse the Ising Kondo lattice model on a pyrochlore structure in order to study the anomalous Hall effect due to non-coplanar magnetism. 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 non-magnetic 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 (��_H) as function of field strength and direction which compares well to the experimental data of Pr2Ir2O7. In particular, we show that the observed peak in ��_H for H||[111] signals the crossover from zero-field spin ice to Kagome ice.
7 pages, 5 figures, supplementary materials included
Journal
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- Physical Review Letters
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Physical Review Letters 111 (3), 036602-, 2013-07-17
American Physical Society (APS)
