Pseudogapped Fermi liquids from correlated hopping

I show that correlated hopping (CH) can give rise to Fermi liquids (FLs) that exhibit a pseudogap (PG) in the single-particle spectrum and a vanishing quasiparticle weight at half-filling. The underlying mechanism is captured by an interacting CH Hamiltonian that is exactly solvable on arbitrary lattices and in any spatial dimension. Using a suitable coherent-state basis, I demonstrate that the model's partition function admits a Gaussian path-integral representation, enabling systematic extensions beyond the Gaussian limit with standard many-body methods. I then present several properties of the exactly solvable limit on the square lattice, including temperature-dependent PG opening, singular self-energy behavior, violations of the Luttinger sum rule, and the filling-dependent evolution of Luttinger and Fermi surfaces. Finally, I discuss results on quantum phase transitions between PG-FLs and Landau FLs.