Skyrmion Liquid Phase of the Quantum Ferromagnet in Two Dimensions

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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10 pgs PLAIN TeX, 2 ps figs, to appear in Europhysics Letters

Scientific paper

The two-dimensional quantum ferromagnet filled with a liquid of skyrmions is studied theoretically in the context of the quantum Hall effect near electronic filling factor $\nu = 1$. A cross-over between the classical ferromagnetic phase at $\nu =1$ and a classical paramagnetic phase at $\nu \neq 1$ is obtained, which is consistent with recent Knight-shift measurements. A new collective mode associated with the skyrmion liquid that is of the cyclotron type is also identified.

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