Roton instabilities and correlated Wigner crystals of rotating dipolar fermions in the fractional quantum Hall regime

Shih Da Jheng*, Tsin-Fu Jiang, Szu Cheng Cheng

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We point out that the Wigner crystal (WC) state of rotating dipolar fermions in the lowest Landau level is strongly correlated. From intra-Landau-level excitations of the fractional quantum Hall effect (FQHE) liquid, we find that the roton minimum of the excitation spectrum at ν=1/7 becomes negative, indicating an absence of the FQHE state, which is supposed to be the ground state of the system. Therefore, we show that the Hartree-Fock theory of the WC does not predict the correct ground-state energy in the lowest Landau level. There exists a strong correlation effect on the Wigner crystallization of rotating dipolar gases.

Original languageEnglish
Article number051601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume88
Issue number5
DOIs
StatePublished - 4 Nov 2013

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