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The effect of a local Kondo coupling and Hubbard interaction on thetopological phase of the one-dimensional topological Kondo insulator (TKI) isnumerically investigated using the infinite matrix-product state density-matrixrenormalization group algorithm. The groundstate of the TKI is asymmetry-protected topological (SPT) phase protected by inversion symmetry. Itis found that on its own, the Hubbard interaction that tends to force fermionsinto a one-charge per site order is insufficient to destroy the SPT phase.However when the local Kondo Hamiltonian term that favors a topologicallytrivial groundstate with a one-charge per site order is introduced, the Hubbardinteraction assists in the destruction of the SPT phase. This topological phasetransition occurs in the charge sector where the correlation length of thecharge excitation diverges while the correlation length of the spin excitationremains finite. The critical exponents, central charge and the phase diagramseparating the SPT phase from the topologically trivial phase are presented.

Topological phase transition and the effect of Hubbard interaction on the one-dimensional topological Kondo insulator