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Quantum Hall systems are expected to host a variety of exotic phases. In particular 5/2 filling fraction is believed to contain non-Abelian anyons. However, the exact nature of the ground state is sensitive to many factors and is hard to access. In this paper the authors develop a method to take into account scattering between Landau levels and show that, at 5/2 filling, it leads to the stabilization of the so called anti-Pfaffian state.
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Zaletel et al. (2015) studied this question.
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