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

Abstract

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 $J_H/J_K=0.1055$ where a small circle begins to emerge within the large deformed circle. When $J_H/J_K=0.1425$, the two deformed circles intersect each other and then decompose into four kidney-like Fermi pockets via a second-order quantum phase transition. As $J_H/J_K$ increases further, the Fermi pockets are shifted along the direction ($\pi ,\pi$) to ($\pi /2,\pi /2$), 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.

4 pages, 5 figures

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• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• Fermionology in the Kondo-Heisenberg model: the case of CeCoIn${}_5$
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