Competition between composite-fermion-crystal and liquid orders at ν=15

Chia-Chen Chang, Csaba Töke, Gun Sang Jeon, and Jainendra K. Jain
Phys. Rev. B 73, 155323 – Published 21 April 2006

Abstract

We show that for electrons on a two-dimensional plane exposed to a strong magnetic field, the state at filling factor ν=15 is better described as a composite-fermion crystal than as a Laughlin liquid for small systems, but the latter prevails for systems containing more than ten particles. A variational combination of the two wave functions provides an extremely accurate wave function for small systems. This indicates that the ν=15 fractional quantum Hall liquid is highly susceptible to formation of composite-fermion crystallites in it. Experimental implications are considered.

    • Received 15 January 2006

    DOI:https://doi.org/10.1103/PhysRevB.73.155323

    ©2006 American Physical Society

    Authors & Affiliations

    Chia-Chen Chang1, Csaba Töke1, Gun Sang Jeon1,2, and Jainendra K. Jain1

    • 1Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
    • 2School of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea

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    Issue

    Vol. 73, Iss. 15 — 15 April 2006

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