Pair Density Wave correlations in the Kondo-Heisenberg Model

TL;DR

This paper demonstrates that the one-dimensional Kondo-Heisenberg model exhibits quasi-long range superconducting correlations at a non-zero momentum, resembling pair density wave states relevant to striped high-temperature superconductors.

Contribution

It provides combined numerical and theoretical evidence for pair density wave correlations in a well-studied model, linking it to experimental phenomena in high-Tc superconductors.

Findings

Superconducting correlations occur only at non-zero momentum.

Correlations resemble pair density wave states.

Results connect theoretical models to experimental high-Tc phenomena.

Abstract

We show, using density matrix renormalization group calculations complemented by field theoretic arguments, that the spin gapped phase of the one dimensional Kondo-Heisenberg model exhibits quasi-long range superconducting correlations {\it only} at a non-zero momentum. The local correlations in this phase resemble those of the pair density wave state which was recently proposed to describe the phenomenology of the striped ordered high temperature superconductor {La$_{2-x}$Ba$_x$% CuO$_4$}, in which the spin, charge, and superconducting orders are strongly intertwined.