Massive skyrmions in quantum Hall ferromagnets

Abstract

We apply the theory of elasticity to study the effects of skyrmion mass on lattice dynamics in quantum Hall systems. We find that massive Skyrme lattices behave like a Wigner crystal in the presence of a uniform perpendicular magnetic field. We make a comparison with the microscopic Hartree-Fock results to characterize the mass of quantum Hall skyrmions at $ν=1$ and investigate how the low temperature phase of Skyrme lattices may be affected by the skyrmion mass.