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Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions | | Mykhailo Yutushui
; David F. Mross
; | | Date: |
3 Aug 2020 | | Abstract: | We introduce a family of paired-composite-fermion trial wave functions for
any odd Cooper-pair angular momentum. These wave functions are parameter-free
and can be efficiently projected into the lowest Landau level. We use
large-scale Monte-Carlo simulations to study three cases: Firstly, the
Moore-Read phase, which serves us as a benchmark. Secondly, we explore the
pairing associated with the anti-Pfaffian and the particle-hole symmetric
Pfaffian. Specifically, we assess whether their trial states feature
exponentially decaying correlations and thus represent gapped phases of matter.
For Moore-Read and anti-Pfaffian we find decay lengths of
$xi_ ext{Moore-Read}=1.30(5)$ and $xi_ ext{anti-Pfaffian}=1.38(14)$, in
units of the magnetic length. By contrast, for the case of PH-Pfaffian, we find
no evidence of a finite length scale for up to $56$ particles. | | Source: | arXiv, 2008.01087 | | Services: | Forum | Review | PDF | Favorites | |
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