Skyrmion Liquid Phase of the Quantum Ferromagnet in Two Dimensions

Abstract

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 = 1. A cross-over between the classical ferromagnetic phase at =1 and a classical paramagnetic phase at ≠ 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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