Interacting one-dimensional electron gas with open boundaries

Abstract

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various correlation functions. In view of possible experimental applications to quantum wires, we analyse how tunneling measurements can reveal the underlying Luttinger liquid properties. The two terminal conductance is calculated. We also point out possible applications to quasi one dimensional materials and study the effects of magnetic impurities.

Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors

“…Another interesting example of the edge states in a 1D electron gas was studied theoretically in Ref. [40] Note added in proofs. A more subtle consideration of the results of Sec.…”

Properties of superconductor–Luttinger-liquid hybrid systems

“…The tunnel matrix elements t 0 can be related to the tunnel conductances G T of the junctions, [19]. The presence of lateral tunnel contacts does not impose any additional boundary conditions on the Fermi fields.…”

Spin correlations in the two-leg antiferromagnetic ladder in a magnetic field

“…(13) corresponds to the Friedel oscillations near the open ends. [15][16][17][18] In the thermodynamic limit (L → ∞) with |l − L/2| ≪ L and |l ′ − L/2| ≪ L, the spin correlations have the asymptotic forms…”