Abstract

Quantum kink solutions of an anisotropic spin-1/2 Heisenberg Hamiltonian are calculated using numerical methods both as exact eigenstates and by a variational approach. They are compared to those domain walls derived by a usual classical approximation. Concerning kink energy slight differences between quantum and classical solutions caused by the next- nearest-neighbour interaction occur, but the spatial kink structure is distinct in general. The quantum kink is smaller than the classical one, and only the classical central-bond-kink has a quantum-mechanical counterpart.

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