Large-scale simulations of particle-hole-symmetric Pfaffian trial wave functions

Mykhailo Yutushui, David F. Mross

Research output: Contribution to journalArticlepeer-review


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 ζMoore-Read=1.30(5) and ζanti-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.

Original languageEnglish
Article number195153
Number of pages13
JournalPhysical Review B
Issue number19
StatePublished - Nov 2020

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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