The Extended Hubbard Model at Large Interaction

Kevin Pérez, Joseph W. Desroches, Kaden R. A. Hazzard +1 more

We show that, in appropriate regimes, ultracold collisionally shielded molecules in an optical lattice realize a controlled extended Hubbard model, despite their large-radius hard-core repulsion. We compute the Hubbard parameters and show lattice depth and microwave-induced dipolar interactions provide flexible, independent control of on- and off-site interactions. This makes shielded molecules a powerful platform for extended Hubbard models and enables an interaction microscope that can distinguish inter-hole interactions in doped Mott insulators - crucial to superconductivity and strange metallicity - that are indistinguishable with quantum gas microscopy alone.

Ryszard Taranko, E. Taranko

J. Charles Hicks, Andrei E. Ruckenstein, Gabriel Kotliar

A project scheme to linearize the equations of motion for the Hubbard model has been extended to a three-band model for CuO2 planes which includes an extended Hubbard interaction. The extended Hubbard term has been modified to allow for exchange effects within a large spin degeneracy (N) approximation. The 1/N expansion, modified to allow for exitonic effects, is used to study a range of parameter regimes to determine regions of phase separation, incompressibility, and superconducting instabilities.

Zlatko G. Koinov

Francesco Paolo Mancini, Francesco Paolo Mancini

Abstract. Within the Green’s function and equations of motion formalism it is possible to exactly solve a large class of models useful for the study of strongly correlated systems. Here, we present the exact solution of the one-dimensional extended Hubbard model with on-site U and first nearest neighbor repulsive V interactions in the presence of an external magnetic field h, in the narrow band limit. At zero temperature

Alain Messager, Сергей Анатольевич Пирогов, Yuri Suhov