Abelian and non-abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect

Abstract

We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p+ip-wave paired superfluid. In the long wave length limit, the ground state wave function is described by Halperin's (1,1,-1) state of neutral fermions analogous to the double layer quantum Hall effect. The vortex excitations are charge e/2 abelian anyons which carry a neutral Dirac fermion zero mode. The superconducting proximity effect induces `tunneling' between `layers' which leads to topological phase transitions whereby the Dirac fermion zero mode fractionalizes and Majorana fermions emerge in the edge states. The charge e/2 vortex excitation carrying a Majorana zero mode is a non-abelian anyon. The proximity effect can also drive a conventional insulator into a quantum anomalous Hall effect state with a Majorana edge mode and the non-abelian vortex excitations.

6 pages, 4 figures, accepted by Phys. Rev. B

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Cited by in corpus (8)

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• Topological bands with Chern number C=2 by dipolar exchange interactions
• Fractional Excitonic Insulator
• Higher angular momentum band inversions in two dimensions
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Topological superfluid in a fermionic bilayer optical lattice
• The topological system with a twisting edge band: position-dependent Hall resistance