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Deconfined quantum phase transition from N\'eel phase to Valence bond crystalstate in 2D Heisenberg model is under debate nowadays. One crucial issue is thesuppression of Haldane's instanton on quantum critical point which drives thespinon deconfined. In this paper, by making use of the $\phi$-mappingtopological current theory, we reexamine the Haldane's instanton in analternative way along the direction of topology. We find that the the monopoleevents are space-time singularities of N\'eel field $\vec{n}$, thecorresponding topological charges are the wrapping number of $\vec{n}$ aroundthe singularities which can be expressed in terms of the Hopf indices andBrouwer degrees of $\phi$-mapping. The suppression of the monopole events canonly be guaranteed when the $\phi$-field possesses no zero points. Moreover,the quadrapolarity of monopole events in the Heisenberg model due to the Berryphase is also reproduced in this topological argument.

Haldane's Instanton in 2D Heisenberg model revisited: along the Avenue of Topology