Stability of the particle-hole Pfaffian state and the 52 -fractional quantum Hall effect

Rezayi, Edward H.; Pakrouski, Kiryl; Haldane, F. D. M.

doi:10.1103/physrevb.104.l081407

Stability of the particle-hole Pfaffian state and the 52 -fractional quantum Hall effect

Journal Article · Mon Aug 23 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.104.l081407· OSTI ID:1850795

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California State Univ. (CalState), Los Angeles, CA (United States); OSTI
Princeton Univ., NJ (United States)

Here we present a method for the exact construction of the fully particle-hole symmetric Pfaffian (PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore-Read state, but with a nonholomorphic pairing component as in previous studies, and project it to the lowest Landau level. We study the energetics as well as other properties of these states and find that in a pure system interacting with the Coulomb forces the PH-Pfaffian cannot compete with either the Moore-Read state or its particle-hole conjugate, the anti-Pfaffian state, as an explanation for the 5/2 effect.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: Swiss National Science Foundation (SNSF); USDOE Office of Science (SC)

Grant/Contract Number:: SC0002140

OSTI ID:: 1850795

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 8 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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