SU(N) Quantum Hall Skyrmions
D. P. Arovas, A. Karlhede, D. Lilliehook
TL;DR
This paper explores SU(N) skyrmions in quantum Hall systems, identifying conditions under which they are the lowest energy charged excitations and proposing potential experimental realizations.
Contribution
It demonstrates that SU(N) skyrmions are the lowest energy charged excitations in certain quantum Hall regimes and suggests specific material systems for their realization.
Findings
SU(N) skyrmions are lowest energy excitations for certain filling factors
Potential realization in Si quantum Hall systems with specific interfaces
Hartree-Fock results for SU(2)-breaking valley degeneracy model
Abstract
We have investigated skyrmions in N-component quantum Hall systems. We find that SU(N) skyrmions are the lowest energy charged excitations for filling factors \nu = 1,2,...,N-1 for small enough symmetry breaking terms. N>2 skyrmions can be realized in Si QH systems based on the (110) or (111) interfaces of Si, or perhaps in Si (100) systems, where the spin and valley isospin together provide an SU(4)-symmetry, or in multilayer QH systems. We also present Hartree-Fock results for a phenomenological easy-axis SU(2)-breaking model appropriate to valley degeneracy.
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