Probing fractional topological insulators with magnetic edge perturbations

Abstract

We discuss detection strategies for fractional topological insulators (FTIs) realizing time-reversal invariant analogues of fractional quantum Hall systems in the Laughlin universality class. Focusing on transport measurements, we study the effect of magnetic perturbations on the edge modes. We find that the modes show unexpected robustness against magnetic backscattering for moderate couplings and edge interactions, allowing for various phase transitions signaling the FTI phase. We also describe protocols for extracting the universal integer m characterizing the phase and the edge interaction parameter from the conductance of setups with magnets and a quantum point contact.

4 pages, 2 figures

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• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• Correlation effects in two-dimensional topological insulators
• Fractional Topological Insulators -- a Pedagogical Review
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
• Non-Equilibrium Transport Through a Gate-Controlled Barrier on the Quantum Spin Hall Edge
• Formalism for the solution of quadratic Hamiltonians with large cosine terms
• Phase diagram of two interacting helical states
• Interaction Protected Topological Insulators with Time Reversal Symmetry
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Transport via double constrictions in integer and fractional topological insulators
• Stability of a topological insulator: interactions, disorder and parity of Kramers doublets
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Current enhancement through a time dependent constriction in fractional topological insulators
• Quantum critical points in tunneling junction of topological superconductor and topological insulator