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

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.

Contains Supplementary Material with calculation of divergent charge e pair susceptibility

References in corpus (11)

• Fractionalized Fermi liquids
• Emulating heavy fermions in twisted trilayer graphene
• Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Non-Meissner electrodynamics and knotted solitons in two-component superconductors
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Order Fractionalization in a Kitaev-Kondo model
• Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Skyrmions and Hopfions in 3D Frustrated Magnets
• Luttinger sum rules and spin fractionalization in the SU(N) Kondo Lattice

Cited by in corpus (24)

• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Analytic calculation of the vison gap in the Kitaev spin liquid
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Topological superconductivity induced by a Kitaev spin liquid
• Breakdown of order-fractionalization in the CPT model
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
• Fractionalized Fermi liquids and the cuprate phase diagram
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Topological superconductivity in a spin-orbit coupled Kondo lattice
• Enhanced pair-density-wave vertices in a bilayer Hubbard model at half-filling
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
• Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional $d$-wave altermagnets
• Dual view of the Z${}_2$-Gauged XY Model in 3D
• Wegner's Ising gauge spins versus Kitaev's Majorana partons: Mapping and application to anisotropic confinement in spin-orbital liquids
• Spin-charge correlations in finite one-dimensional multi-band Fermi systems
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• $\eta$-pairing on bipartite and non-bipartite lattices
• Eight-fold classification of superconducting orders
• Spin-triplet pair density wave superconductors