Tuning the hopping anisotropy in a 1D Kondo lattice drives transitions between featureless Kondo insulators, a valence-bond solid, and gapless spin liquids, with a spiral spin liquid as the critical point between two fragile Kondo insulators.
Emergent Pair Density Wave Order Across a Lifshitz Transition
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abstract
We numerically investigate the telltale signs of pair-density-wave order (PDW) in the Kondo-Heisenberg chain by focusing on the momentum resolved spectrum in different parameter regimes. Density matrix renormalization group calculations reveal that this phase is characterized by a dispersion with two minima and four Fermi points, indicating the emergence of an effective next-nearest-neighbor hopping that arises as a second-order effect to avoid magnetic frustration. The pairs appear in the spectrum as in-gap bound states with weight concentrated in the hole pockets. The low-energy physics can be understood by means of a generalized t-J model with next-nearest-neighbor hopping. Our results offer a guide for searching for experimental signatures, and for other models that can realize PDW physics.
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Valence-bonds, spin liquids and unconventional criticality in a 1D Kondo insulator
Tuning the hopping anisotropy in a 1D Kondo lattice drives transitions between featureless Kondo insulators, a valence-bond solid, and gapless spin liquids, with a spiral spin liquid as the critical point between two fragile Kondo insulators.