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

The heavy-Fermion 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, Lifshitz transitions are anticipated, where the topology of the Fermi surface (FS) of the heavy quasiparticles changes from a hole-like circle to four kidney-like pockets centered around $(\pi ,\pi )$. In-between these two limiting cases, a first-order quantum phase transition is identified at $J_H\mathrm{/}{J}_K=0.1055$ where a small circle begins to emerge within the large deformed circle. When $J_H\mathrm{/}{J}_K=0.1425$, the two deformed circles intersect each other and then decompose into four kidney-like Fermi pockets via a second-order quantum phase transition. As $J_H\mathrm{/}{J}_K$ increases further, the Fermi pockets are shifted along the direction ($\pi ,\pi$) to ($\pi \mathrm{/}2,\pi \mathrm{/}2$), and the resulting FS is consistent with the FS obtained recently using the quantum Monte Carlo cluster approach to the Kondo lattice system in the presence of the antiferrmagnetic order.