Features of Hopping Integral and Unconventional Orbital Modes for Quantum Skyrmions in Heisenberg Ferromagnet

Abstract

We use the coherent state approximation for the skyrmion in the isotropic quantum Heisenberg ferromagnet to obtain analytical expression for skyrmion hopping integral as a function of distance. It appears the skyrmion hopping is restricted by distances larger than its effective diameter. Some puzzling properties of the orbital skyrmionic modes are discussed. Spin distribution in these states is obtained and effect of quantum spin contraction is demonstrated.The principal possibility of lowering the skyrmion energy due to a bonding-like state formation is illustrated.