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

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

doi:10.1103/PhysRevB.104.L081407

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

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

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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 52 effect.

Original language	English (US)
Article number	L081407
Journal	Physical Review B
Volume	104
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevB.104.L081407
State	Published - Aug 15 2021

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.104.L081407

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abstract = "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 52 effect.",

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AB - 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 52 effect.

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

Abstract

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