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Microscopic Theory of Pair Density Waves in Spin-Orbit Coupled Kondo Lattice

Aaditya Panigrahi1, Alexei Tsvelik2, and Piers Coleman1,3

Phys. Rev. Lett. 135, 046504 – Published 23 July, 2025

DOI: https://doi.org/10.1103/pdqz-zb8k

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 that 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 pair density waves (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 Zeeman splitting.

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