It was recently shown that an interacting Kitaev topological superconductormodel is exactly solvable based on two-step Jordan-Wigner transformationstogether with one spin rotation. We generalize this model by including thedimerization, which is shown also to be exactly solvable. We analyticallydetermine the topological phase diagram containing seven distinct phases. It isargued that the system is topological when a fermionic many-body Majoranazero-energy edge state emerges. It is intriguing that there are twotetra-critical points, at each of which four distinct phases touch.
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