Absence of a true long-range orbital order in a two-leg Kondo ladder

TL;DR

This study explores the orbital order in a two-leg Kondo ladder, revealing short-range order at half-filling and incommensurate quasi-long-range order away from half-filling, with interactions enhancing current correlations.

Contribution

It provides the first detailed analysis of orbital order in a two-leg Kondo ladder using advanced numerical techniques, highlighting the nature of orbital correlations.

Findings

Short-range orbital order at half-filling

Incommensurate quasi-long-range order away from half-filling

Interaction enhances rung-rung current correlations

Abstract

We investigate, through the density-matrix renormalization group and the Lanczos technique, the possibility of a two-leg Kondo ladder present an incommensurate orbital order. Our results indicate a staggered short-range orbital order at half-filling. Away from half-filling our data are consistent with an incommensurate quasi-long-range orbital order. We also observed that an interaction between the localized spins enhances the rung-rung current correlations.