Abstract

Charged excitations are topological solitons (skyrmions) in quantum Hall systems. They are CP 3 skyrmions in the bilayer system, where the underlying symmetry is SU(4). We present a microscopic formulation of CP 3 skyrmions in a system where the electron density is imbalanced between the two layers. A skyrmion is constructed by dressing a cloud of SU(4) isospins around an electron or a hole, and it carries the same charge as an electron or a hole at the filling factor ν = 1 . When the parallel magnetic field penetrates between the two layers, it deforms a skyrmion into a bimeron (a pair of merons). Each meron carries a fractional charge. We calculate the activation energy and show that it decreases rapidly as the parallel magnetic field increases near the balanced point.

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