Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

•We study low temperature electronic properties of a two leg ladder.•We find a wide variety of phase transitions as a function of model parameters.•We study the effect of impurities on these models.•Conductance may be very sensitive to the structure of these impurities.

We study the effect of external potential on transport properties of the fermionic two-leg ladder model. The response of the system to a local perturbation is strongly dependent on the ground state properties of the system and especially on the dominant correlations. We categorize all phases and transitions in the model (for incommensurate filling) and introduce “hopping-driven transitions” that the system undergoes as the inter-chain hopping is increased from zero. We also describe the response of the system to an ionic potential. The physics of this effect is similar to that of the single impurity, except that the ionic potential can affect the bulk properties of the system and in particular induce true long range order.