Static and dynamical properties of a two-dimensional Wigner crystal of rotating dipolar Fermi gases

dc.creatorCheng, Szu-Cheng
dc.date2009-02-13
dc.date.accessioned2026-07-07T12:41:34Z
dc.date.available2026-07-07T12:41:34Z
dc.descriptionUsing an ansatz wave function for the ground state of rotating two-dimensional dipolar fermions, which occupy only partially the lowest Landau level, we study the correlation energy and elastic properties of the Wigner crystal of rotating dipolar Fermi gases. From a simple Hartree-Fock approach, we show that the correlation energy of a particle crystal is lower and higher than the correlation energy of a hole crystal for filling factors v<1/2 and v>1/2, respectively. Furthermore we find that the shear moduli of these dipolar crystals have a nonmonotonic behavior as a function of the filling factor. We also examine the stability of a Wigner crystal. The Wigner crystal with the sample width being zero is locally stable for 0< v <1/2, while the corresponding hole crystal is locally stable for 1/2< v <1. Due to the WC being unstable around v=1/2, we also conclude that a new liquid state, not a quantum Hall state, can exist at v=1/2.
dc.description25 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0902.2276
dc.identifierhttp://arxiv.org/abs/0902.2276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219817
dc.subjectOther Condensed Matter
dc.titleStatic and dynamical properties of a two-dimensional Wigner crystal of rotating dipolar Fermi gases
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