Strong correlation, Bloch bundle topology, and spinless Haldane–Hubbard model

Different realizations of the Hubbard operators in different Hilbert spaces give rise to various microscopic lattice electron models driven by strong correlations. In terms Gutzwiller projected operators, most familiar examples are t-J and BCS-Hubbard at coupling. We focus on spin-dopon representation operators. this case no double occupancy constraint (NDO) can be reexpressed as a Kondo interaction. As an explicit example, effective low energy action is derived itinerant spineless fermions (dopons) strongly interacting with localized spins.The spontaneous breaking time reversal symmetry describes spinless version Haldane-Hubbard topological theory. Our consideration suggests that topologically non-trivial U(1) Bloch bundle associated model realized dynamically due presence correlations even absence any external flux.