Nonlinear excitations in a two-dimensional hard-core charged Bose gas with an effective intersite repulsion

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Abstract
The effect of intersite repulsion on the features of nonlinear topological excitations is studied for a two-dimensional hard-core Bose gas on a lattice within the continuum approximation. It is shown that the excitations are subdivided into two classes and may be associated with the well-known ground-state phases via the behavior at boundaries. Among the excitations having counterparts in magnets such as skyrmions, out-of-plane vortices, “easy axis,” and Takeno-Homma solitons there is a new type of nonlinear excitations: excitations of “mixed”-state type.
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