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We theoretically investigate emergent quantum phases in the thin filmgeometries of the pyrochore iridates, where a number of exotic quantum groundstates are proposed to occur in bulk materials as a result of the interplaybetween electron correlation and strong spin-orbit coupling. The fate of thesebulk phases as well as novel quantum states that may arise only in the thinfilm platforms, are studied via a theoretical model that allows layer-dependentmagnetic structures. It is found that the magnetic order develop ininhomogeneous fashions in the thin film geometries. This leads to a variety ofmagnetic metal phases with modulated magnetic ordering patterns acrossdifferent layers. Both the bulk and boundary electronic states in these phasesconspire to promote unusual electronic properties. In particular, such phasesare akin to the Weyl semimetal phase in the bulk system and they would exhibitan unusually large anomalous Hall effect.

Theory of Multifarious Quantum Phases and Large Anomalous Hall effect in Pyrochlore Iridate Thin Films