Topological and magnetic phases of interacting electrons in the pyrochlore iridates

Abstract

We construct a model for interacting electrons with strong spin orbit coupling in the pyrochlore iridates. We establish the importance of the direct hopping process between the Ir atoms and use the relative strength of the direct and indirect hopping as a generic tuning parameter to study the correlation effects across the iridates family. We predict novel quantum phase transitions between conventional and/or topologically non-trivial phases. At weak coupling, we find topological insulator and metallic phases. As one increases the interaction strength, various magnetic orders emerge. The topological Weyl semi-metal phase is found to be realized in these different orders, one of them being the all-in/all-out pattern. Our findings establish the possible magnetic ground states for the iridates and suggest the generic presence of the Weyl semi-metal phase in correlated magnetic insulators on the pyrochlore lattice. We discus the implications for existing and future experiments.

6 pages, 5 figs. as published in PRB

References in corpus (10)

• Topological Insulators with Inversion Symmetry
• Weyl Semimetal in a Topological Insulator Multilayer
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Three-Dimensional Topological Insulators
• Generic Wavefunction Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators
• Fractional topological insulators in three dimensions
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Gauge-field fluctuations in 3D topological Mott insulators
• Topological Insulators and Quantum Spin Liquids

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