The effect of a local perturbation in a fermionic ladder

Abstract

We study the effect of a local external potential on a system of two parallel spin-polarized nanowires placed close to each other. For single channel nanowires with repulsive interaction we find that transport properties of the system are highly sensitive to the transverse gradient of the perturbation: the asymmetric part completely reflects the electrons leading to vanishing conductance at zero temperature, while the flat potential remains transparent. We envisage a possible application of this unusual property in the sensitive measurement of local potential field gradients.

4+ pages, 2 figures, typos corrected

References in corpus (3)

• Spin-charge separation and localization in one-dimension
• Spinless Fermionic ladders in a magnetic field: Phase Diagram
• Conductance through a potential barrier embedded in a Luttinger liquid: nonuniversal scaling at strong coupling

Cited by in corpus (9)

• Emergent topological properties in interacting one-dimensional systems with spin-orbit coupling
• Interaction induced topological protection in one-dimensional conductors
• Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
• Phase diagram of two interacting helical states
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene
• Helical quantum Hall Edge modes in bilayer graphene: a realization of quantum spin-ladders
• Conductance of Interacting Quasi-One-Dimensional Electron Gas with a Scatterer
• Weak localization and magnetoresistance in a two-leg ladder model