Landau Level Mixing and the Ground State of the ν=5/2 Quantum Hall Effect

Edward H. Rezayi
Phys. Rev. Lett. 119, 026801 – Published 14 July 2017

Abstract

Inter-Landau-level transitions break particle hole symmetry and will choose either the Pfaffian or the anti-Pfaffian state as the absolute ground state at 5/2 filling of the fractional quantum Hall effect. An approach based on truncating the Hilbert space has favored the anti-Pfaffian. A second approach based on an effective Hamiltonian produced the Pfaffian. In this Letter, perturbation theory is applied to finite sizes without bias to any specific pseudopotential component. This method also singles out the anti-Pfaffian. A critical piece of the effective Hamiltonian, which was absent in previous studies, reverts the ground state at 5/2 to the anti-Pfaffian.

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  • Received 25 April 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.026801

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Edward H. Rezayi

  • Department of Physics, California State University Los Angeles, Los Angeles, California 90032, USA

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Issue

Vol. 119, Iss. 2 — 14 July 2017

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