Quantum Critical Dynamics of the Skyrmion Lattice

Abstract

Near to filling fraction $\nu =1$, the quantum Hall ferromagnet contains multiple Skyrmion spin excitations. This multi-Skyrmion system has a tremendously rich quantum-critical structure. This is simplified when Skyrmions are pinned by disorder. We calculate the nuclear relaxation rate in this case and compare the result with experiment. We discus how such measurements may be used to further probe the quantum-critical structure of the multi-Skyrmion system.

9 pages, 3 figures

References in corpus (7)

• Non-zero temperature transport near quantum critical points
• Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
• Critical Behavior of Nuclear-Spin Diffusion in GaAs/AlGaAs Heterostructures near Landau Level Filling ν=1
• Shape Deformation driven Structural Transitions in Quantum Hall Skyrmions
• Skyrmions in disordered heterostructures}
• Quantum Phase Transition in Skyrmion Lattices
• Skyrme crystal or Skyrme liquid?

Cited by in corpus (14)

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• Evidence for Skyrmion crystallization from NMR relaxation experiments
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• Fermionizing a small gas of ultracold bosons
• Resistively-Detected NMR in a Two-Dimensional Electron System near $\nu =1$: Clues to the Origin of the Dispersive Lineshape
• Wigner solids of domain wall skyrmions
• Topological phase separation in 2D quantum lattice Bose-Hubbard system away from half-filling
• Collective modes of CP(3) Skyrmion crystals in quantum Hall ferromagnets
• Topological phase separation in 2D hard-core Bose-Hubbard system away from half-filling
• NMR Study of Large Skyrmions in Al_{0.13}Ga_{0.87}As Quantum Wells
• Quantum Hall Skyrmions at $\nu =0,\pm 1$ in monolayer graphene
• Topological structures in unconventional scenario for 2D cuprates
• Disorder Enhanced Nuclear Spin Relaxation at Landau Level Filling Factor One
• Dynamical charge inhomogeneity and crystal-field fluctuations for 4f ions in high-Tc cuprates