Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice

TL;DR

This paper presents a theoretical framework explaining the spontaneous formation of pair density waves in spin-orbit coupled Kondo lattices, highlighting a mechanism involving Fermi surface discommensuration and electron-Majorana pairing.

Contribution

It introduces a novel microscopic theory linking Fermi surface discommensuration to PDW formation in a spin liquid Kondo lattice model.

Findings

Finite-momentum electron-Majorana pair condensation induced by doping.

Amplitude-modulated pair density waves emerge naturally in the model.

Provides an analytically tractable pathway for understanding PDWs in higher dimensions.

Abstract

We demonstrate that the discommensuration between the Fermi surfaces of a conduction sea and an underlying spin liquid provides a natural mechanism for the spontaneous formation of pair density waves. Using a recent formulation of the Kondo lattice model which incorporates a Yao Lee spin liquid proposed by the authors, we demonstrate that doping away from half-filling induces finite-momentum electron-Majorana pair condensation, resulting in amplitude-modulated PDWs. Our approach provides a precise, analytically tractable pathway for understanding the spontaneous formation of PDWs in higher dimensions and offers a natural mechanism for PDW formation in the absence of a Zeeman field.