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The $t$-$J$ model is a standard model of strongly correlated electrons, oftenstudied in the context of high-$T_c$ superconductivity. However, most studiesof this model neglect three-site terms, which appear at the same order as thesuperexchange $J$. As these terms correspond to pair-hopping, they are expectedto play an important role in the physics of superconductivity when dopedsufficiently far from half-filling. In this paper we present a density matrixrenormalisation group study of the one-dimensional $t$-$J$ model with the pairhopping terms included. We demonstrate that that these additional termsradically change the one-dimensional ground state phase diagram, extending thesuperconducting region at low fillings, while at larger fillings,superconductivity is completely suppressed. We explain this effect byintroducing a simplified effective model of repulsive hardcore bosons.

Ground state phase diagram of the one-dimensional $t$-$J$ model with pair hopping terms