Abstract
Within a framework of the pseudo-spin formalism we consider the skyrmion-like topological modes for the quasi-two-dimensional quantum lattice bose gas. A skyrmion–skyrmion chiral pseudo-spin coupling results in a pseudo-spin-flip mode splitting to the bonding (ferro) and antibonding (antiferro) quasi-molecular modes with different momentum q -dependence of the effective pseudospin susceptibility. It is conjectured that CuO 2 planes in the doped cuprates can be considered as a system of the skyrmion-like states pinned on the charge inhomogeneity centers.
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