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

Abstract

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 categorise 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.

60 pages

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• Wide applicability of high $T_c$ pairing originating from coexisting wide and incipient narrow bands in quasi one dimension
• Interaction induced topological protection in one-dimensional conductors
• Phase diagram of two interacting helical states
• Ground-state and spectral properties of an asymmetric Hubbard ladder
• Two-leg SU(2n) spin ladder: A low-energy effective field theory approach
• Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene
• Emergent bosons in the fermionic two-leg flux ladder
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Helical quantum Hall Edge modes in bilayer graphene: a realization of quantum spin-ladders
• Interplay between intrinsic and emergent topological protection on interacting helical modes
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Ladder-like optical conductivity in the spin-fermion model
• Conductance of Interacting Quasi-One-Dimensional Electron Gas with a Scatterer
• Competing superconducting instabilities in the one-dimensional p-band degenerate cold fermionic system
• Orbital antiferromagnetic currents in a frustrated fermionic ladder