Experimental signatures of 3d fractional topological insulators

Abstract

In this work we explore experimental signatures of fractional topological insulators in three dimensions. These are states of matter with a fully gapped bulk that host exotic gapless surface states and fractionally charged quasiparticles. They are partially characterized by a non-trivial magneto-electric response while preserving time reversal. We describe how these phases appear in a variety of probes including photoemmission, tunneling, and quantum oscillations. We also discuss the effects of doping and proximate superconductivity. We argue that despite our current theoretical inability to predict materials where such phases will realized, they should be relatively easy to detect experimentally.

6 pages, 1 figure

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• Fractional $S$-duality, Classification of Fractional Topological Insulators and Surface Topological Order
• Quantum field theory of topological spin dynamics
• Fractionalizing Global Symmetry on Looplike Topological Excitations
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks