Abelian and non-abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




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Abstract: We study the quantum anomalous Hall effect described by a class oftwo-component Haldane models on square lattices. We show that the latter can betransformed into a pseudospin triplet p+ip-wave paired superfluid. In the longwave length limit, the ground state wave function is described by Halperin-s1,1,-1 state of neutral fermions analogous to the double layer quantum Halleffect. The vortex excitations are charge e-2 abelian anyons which carry aneutral Dirac fermion zero mode. The superconducting proximity effect induces`tunneling- between `layers- which leads to topological phase transitionswhereby the Dirac fermion zero mode fractionalizes and Majorana fermions emergein the edge states. The charge e-2 vortex excitation carrying a Majorana zeromode is a non-abelian anyon. The proximity effect can also drive a conventionalinsulator into a quantum anomalous Hall effect state with a Majorana edge modeand the non-abelian vortex excitations.



Author: Xuele Liu, Ziqiang Wang, X. C. Xie, Yue Yu

Source: https://arxiv.org/







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