Competition between composite-fermion-crystal and liquid orders at ν=1 5

Chia Chen Chang, Csaba Töke, Gun Sang Jeon, Jainendra K. Jain

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We show that for electrons on a two-dimensional plane exposed to a strong magnetic field, the state at filling factor ν=1 5 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=1 5 fractional quantum Hall liquid is highly susceptible to formation of composite-fermion crystallites in it. Experimental implications are considered.

Original languageEnglish
Article number155323
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number15
DOIs
StatePublished - 2006

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