A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization

TL;DR

This paper introduces a solvable 3D Kondo lattice model that reveals emergent phenomena such as odd-frequency pairing, pair density waves, and fractionalized order, advancing understanding of quantum materials with strong correlations.

Contribution

It presents a controlled analytical solution to a 3D Kondo lattice model capturing emergent phenomena like odd-frequency pairing and order fractionalization.

Findings

Emergence of odd-frequency pairing and pair density waves.

Order fractionalization with fractionalized charge e.

Controlled analytical approach to a complex quantum model.

Abstract

The Kondo lattice model plays a key role in our understanding of quantum materials, but a lack of small parameters has posed a long-standing problem. We present a 3 dimensional S= 1/2 Kondo lattice model describing a spin liquid within an electron sea. Strong correlations in the spin liquid are treated exactly, enabling a controlled analytical approach. Like a Peierls or BCS phase, a logarithmically divergent susceptibility leads to an instability into a new phase at arbitrarily small Kondo coupling. Our solution captures a plethora of emergent phenomena, including odd-frequency pairing, pair density wave formation and order fractionalization. The ground-state state is a pair density wave with a fractionalized charge e, S = 1/2 order parameter, formed between electrons and Majorana fermions.