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Skyrmions in the quantum Hall effect at finite Zeeman coupling

Green, AG; Kogan, II; Tsvelik, AM; (1996) Skyrmions in the quantum Hall effect at finite Zeeman coupling. Physical Review B , 54 (23) , Article 16838. 10.1103/PhysRevB.54.16838. Green open access

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Abstract

Using a self-consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy functional is minimized for a periodic distribution of Skyrmions with an underlying hexagonal symmetry. We calculate the phonon spectrum oi this lattice and find that near the classical minimum. breathing modes of the Skyrmions are strongly suppressed. The resulting equal-sized Skyrmions interact via a residual Coulomb potential. Neglecting coupling between phonons and spin waves due to dipole and higher-order Coulomb interactions. the Skyrmion crystal has a phonon spectrum identical to that of an electronic Wigner crystal. The transition to a liquid of equal-sized Skyrmions is discussed using thr theory of dislocation melting and a comparison is made between the predictions of this theory and the results of a recent experiment.

Type: Article
Title: Skyrmions in the quantum Hall effect at finite Zeeman coupling
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevB.54.16838
Publisher version: http://dx.doi.org/10.1103/PhysRevB.54.16838
Language: English
Additional information: © APS 1996
Keywords: 2-Dimensional wigner crystal, optically pumped NMR, Lattice-defect model, Melting transitions, 1St-order, Wells, Order, Gas
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/1333459
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