Continuous ferromagnetic quantum phase transition on an anisotropic Kondo lattice

Abstract

Motivated by the recent discovery of ferromagnetic quantum criticality in the heavy fermion compound CeRh${}_6$Ge${}_4$, we develop a numerical algorithm of infinite projected entangled pair states for the anisotropic ferromagnetic Kondo-Heisenberg model in two dimensions and study the ferromagnetic quantum phase transitions with varying magnetic and hopping anisotropy. Our calculations reveal a continuous ferromagnetic quantum phase transition in the large anisotropic region and first-order quantum phase transitions for smaller anisotropy. Our results highlight the importance of magnetic anisotropy on ferromagnetic quantum criticality in Kondo lattice systems and provide a possible explanation for the experimental observation in CeRh${}_6$Ge${}_4$ with a quasi-one-dimensional magnetic structure. Our work opens the avenue for future studies of the rich Kondo lattice physics using state-of-the-art tensor network approaches.

7 pages, 6 figures

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Cited by in corpus (5)

• Probing quantum criticality in ferromagnetic CeRh6Ge4
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• An emerging global picture of heavy fermion physics
• Electronic structure dimensionality of the quantum-critical ferromagnet YbNi${}_4$P${}_2$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$