# Variational Ansatz for an Abelian to Non-Abelian Topological Phase Transition in ν=1/2+1/2 Bilayers.

@article{Crpel2019VariationalAF, title={Variational Ansatz for an Abelian to Non-Abelian Topological Phase Transition in $\nu$=1/2+1/2 Bilayers.}, author={V. Cr{\'e}pel and B. Estienne and N. Regnault}, journal={Physical review letters}, year={2019}, volume={123 12}, pages={ 126804 } }

We propose a one-parameter variational ansatz to describe the tunneling-driven Abelian to non-Abelian transition in bosonic ν=1/2+1/2 fractional quantum Hall bilayers. This ansatz, based on exact matrix product states, captures the low-energy physics all along the transition and allows us to probe its characteristic features. The transition is continuous, characterized by the decoupling of antisymmetric degrees of freedom. We futhermore determine the tunneling strength above which non-Abelian… Expand

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