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Higher order topological superconductors hosting Majorana-Kramers pairs(MKPs) as corner modes have recently been proposed in a two-dimensional (2D)quantum spin Hall insulator (QSHI) proximity-coupled to unconventional cuprateor iron-based superconductors. Here, we show that such MKPs can be realizedusing a conventional s-wave superfluid with a soliton in cold atom systemsgoverned by the Hubbard-Hofstadter model. The MKPs emerge in the presence ofinteraction at the "corners" defined by the intersections of line solitons andthe one-dimensional edges of the system. Our scheme is based on the recentlyrealized cold atom Hubbard-Hofstadter lattice and will pave the way forobserving Majorana corner modes and possible higher order topologicalsuperfluidity with conventional s-wave superfluids/superconductors.

Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices