Topological defects and Goldstone excitations in domain walls between ferromagnetic quantum Hall effect liquids

Abstract

It is shown that the low-energy spectrum of a ferromagnetic quantum Hall effect liquid in a system with a multi-domain structure generated by an inhomogeneous bare Zeeman splitting ${\epsilon }_Z$ is formed by excitations localized at the walls between domains. For a step-like ${\epsilon }_Z(r)$, the domain wall spectrum includes a spin-wave with a linear dispersion and a small gap due to spin-orbit coupling, and a low-energy topological defects. The latter are charged and may dominate in the transport under conditions that the percolation through the network of domain walls is provided.

4 pages, 1 fig

References in corpus (3)

• Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
• Hartree-Fock Theory of Skyrmions in Quantum Hall Ferromagnets
• Fractional Quantum Hall Effect Measurements at Zero g-Factor

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