Fractionalized topological insulators from frustrated spin models in three dimensions

Abstract

We present a theory of three dimensional fractionalized topological insulators in the form of U(1) spin liquids with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-1/2 model on a pyrochlore lattice, with frustrated antiferromagnetic and ferromagnetic exchange interactions, we show that decomposition of the latter interactions, within slave-fermion representation of the spins, can naturally give rise to an emergent spin-orbit coupling for the spinons. This stabilizes a fractionalized topological insulators which also have bulk bond spin-nematic order. Finally, we describe the low energy properties of these states.

10 pages

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• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• Topological order in a correlated three-dimensional topological insulator
• Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
• RKKY interactions and anomalous Hall effect in metallic rare-earth pyrochlores
• Fractional topological phases in three-dimensional coupled-wire systems
• Interplay between interaction and chiral anomaly: Anisotropy in the electrical resistivity of interacting Weyl metals
• Topological and conventional phases of a three dimensional electron glass
• Mean field study of the topological Haldane-Hubbard model of spin-$1/2$ fermions
• Spin-orbital liquids in non-Kramers magnet on Kagome lattice
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Fermionic spin liquid analysis of the paramagnetic state in Volborthite
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach