Surprising robustness of particle-hole symmetry for composite-fermion liquids

G. J. Sreejith, Yuhe Zhang, and J. K. Jain
Phys. Rev. B 96, 125149 – Published 25 September 2017

Abstract

We report on fixed phase diffusion Monte Carlo calculations that show that, even for a large amount of Landau level mixing, the energies of the Pfaffian and anti-Pfaffian phases remain very nearly the same, as also do the excitation gaps at 1/3 and 2/3. These results, combined with previous theoretical and experimental investigations, indicate that particle hole (PH) symmetry for fully spin polarized composite fermion states is much more robust than a priori expected, emerging even in models that explicitly break PH symmetry. We provide insight into this fact by showing that the low energy physics of a generic repulsive 3-body interaction is captured, to a large extent and over a range of filling factors, by a mean field approximation that maps it into a PH symmetric 2-body interaction. This explains why Landau level mixing, which effectively generates such a generic 3-body interaction, is inefficient in breaking PH symmetry. As a byproduct, our results provide a systematic construction of a 2-body interaction which produces, to a good approximation, the Pfaffian wave function as its ground state.

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  • Received 27 July 2017

DOI:https://doi.org/10.1103/PhysRevB.96.125149

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

G. J. Sreejith1, Yuhe Zhang2, and J. K. Jain2

  • 1Indian Institute of Science Education and Research, Pune 411008, India
  • 2Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA

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Issue

Vol. 96, Iss. 12 — 15 September 2017

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