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

Vladimir I. Fal'ko·S. V. Iordanskii
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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 $ε_{Z}$ is formed by excitations localized at the walls between domains. For a step-like $ε_Z(r)$, 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.

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Vladimir I. Fal'ko, S. V. Iordanskii. 1999-01-07. Topological defects and Goldstone excitations in domain walls between ferromagnetic quantum Hall effect liquids. https://doi.org/10.1103/physrevlett.82.402

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