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We consider a one-dimensional system of spinless fermions with singleparticle and pair hoppings in a potential on-site disorder. The pair hoppingterm violates integrability of the model and enhances superconductingfluctuations in the bulk of the liquid. By means of the Abelian bosonizationand extensive numerical DMRG calculations we provide evidence that sufficientlylarge pair hopping amplitude guarantees the survival of the Tomonaga-Luttingerliquid phase at weak disorder. Large disorder drives the system to the Boseglass phase, realising the Giamarchi-Schulz scenario in such a system.

Tomonaga-Luttinger liquid-Bose glass phase transition in a system of 1D disordered fermions with pair hoppings