Lifshitz transitions in a heavy Fermi liquid driven by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model

Abstract

The heavy Fermi liquid with short-range antiferromagnetic correlations is carefully considered in the two-dimensional Kondo-Heisenberg lattice model. As the ratio of the local Heisenberg superexchange ${J}_{H}$ to the Kondo coupling ${J}_{K}$ increases, the topology of the Fermi surface (FS) of the heavy quasiparticles changes: at ${J}_{H}/{J}_{K}=0.1055$ a first-order quantum phase transition is identified, where a small FS circle begins to emerge within the large deformed FS circle centered at ($\ensuremath{\pi},\ensuremath{\pi}$). When ${J}_{H}/{J}_{K}=0.1425$, the two deformed FS circles intersect each other and then decompose into four kidneylike Fermi pockets via a second-order quantum phase transition. As ${J}_{H}/{J}_{K}$ increases further, the Fermi pockets are shifted inward along the direction ($\ensuremath{\pi},\ensuremath{\pi}$) to ($\ensuremath{\pi}/2,\ensuremath{\pi}/2$), and the resulting FS is consistent with that obtained recently using the cluster dynamic mean-field approach to the Kondo lattice model in the presence of the antiferromagnetic order.