Skyrme crystal or Skyrme liquid?

Abstract

We address the quantum melting phase transition of the Skyrme crystal. Based on generic sum rules for two-dimensional, isotropic electron quantum liquids in the lowest Landau level, we propose analytic expressions for the pair distribution functions of spin-polarized and spin-unpolarized liquid phases at filling factors $2/3\le \nu \le 1$. From the pair distribution functions we calculate the energy of such liquid phases and compare with the energy of the solid phase. The comparison suggests that the quantum melting phase transition may lie much closer to $\nu =1$ than ever expected.

4 pages, submitted to Phys. Rev. Lett. The main conclusion remains the same, but relevant conceptual changes have been made

References in corpus (7)

• Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
• Laughlin-Jastrow-correlated Wigner crystal in a strong magnetic field
• A critical comparison of classical field theory and microscopic wavefunctions for skyrmions in quantum Hall ferromagnets
• Critical Behavior of Nuclear-Spin Diffusion in GaAs/AlGaAs Heterostructures near Landau Level Filling ν=1
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Cited by in corpus (10)

• Evidence for Skyrmion crystallization from NMR relaxation experiments
• Soft Spin Wave Near nu=1: Evidence for a Magnetic Instability in Skyrmion Systems
• Spectroscopic Evidence for the Localization of Skyrmions near Nu=1 as T->0
• Disorder and interactions in quantum Hall ferromagnets near $\nu =1$
• Spin excitation spectra of integral and fractional quantum Hall systems
• Quantum Critical Dynamics of the Skyrmion Lattice
• Pinning mode resonance of a Skyrme crystal near Landau level filling factor $\nu$=1
• Disorder Enhanced Nuclear Spin Relaxation at Landau Level Filling Factor One
• Liquid antiferromagnets in two dimensions
• Electronic correlation in the quantum Hall regime