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In this work, we propose that Majorana zero modes can be realized at thecorners of a topologically trivial insulator with unconventionality. Wedemonstrate that 1T-PtSe$_2$ is a symmetry indicator-free (SI-free)unconventional insulator, originating from orbital hybridization between Pt $d$and Se $p_{x,y}$ states. The new kind of SI-free unconventionality has nosymmetry eigenvalue indication. Instead, it is diagnosed directly by theWannier charge centers by using the one-dimensional Wilson loop method. Theobstructed edge states exhibit strong anisotropy and large Rashba splitting. Byintroducing superconducting proximity and external magnetic field, the Majoranacorner modes can be obtained in 1T-PtSe$_2$ monolayer. In the end, we constructa two-Bernevig-Hughes-Zhang model with anisotropy to capture the Majoranaphysics.

Majorana corner modes in unconventional monolayers of 1T-PtSe2 family