Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator

Abstract

The Kondo lattice is one of the classic examples of strongly correlated electronic systems. We conduct a controlled study of the Kondo lattice in one dimension, highlighting the role of excitations created by the composite fermion operator. Using time-dependent matrix-product-state methods we compute various correlation functions and contrast them with both large-N mean-field theory and the strong-coupling expansion. We show that the composite fermion operator creates long-lived, charge-e and spin-1/2 excitations, which cover the low-lying single-particle excitation spectrum of the system. Furthermore, spin excitations can be thought to be composed of such fractionalized quasi-particles with a residual interaction which tend to disappear at weak Kondo coupling.

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Cited by in corpus (7)

• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• Emergent Pair Density Wave Order Across a Lifshitz Transition
• Electrical probe of spin-spiral order in quantum spin Hall/spin-spiral magnet van der Waals heterostructures
• Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model