A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals

Abstract

Motivated by the recent discovery of a continuous ferromagnetic quantum phase transition in CeRh${}_6$Ge${}_4$ and its distinction from other U-based heavy fermion metals such as UGe${}_2$, we develop a unified explanation of their different ground state properties based on an anisotropic ferromagnetic Kondo-Heisenberg model. We employ an improved large-$N$ Schwinger boson approach and predict a full phase diagram containing both a continuous ferromagnetic quantum phase transition for large magnetic anisotropy and first-order transitions for relatively small anisotropy. Our calculations reveal three different ferromagnetic phases including a half-metallic spin selective Kondo insulator with a constant magnetization. The Fermi surface topologies are found to change abruptly between different phases, consistent with that observed in UGe${}_2$. At finite temperatures, we predict the development of Kondo hybridization well above the ferromagnetic long-range order and its relocalization near the phase transition, in good agreement with band measurements in CeRh${}_6$Ge${}_4$. Our results highlight the importance of magnetic anisotropy and provide a unified theory for understanding the ferromagnetic quantum phase transitions in heavy fermion metals.

arXiv comment12 pages, 7 figures

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• An emerging global picture of heavy fermion physics
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Ultrafast Stiffening of the Lattice Potential and Metastable State Formation in 1$T$-TiSe${}_2$
• Synthesis and physical properties of Ce${}_2$Rh${}_{3+\delta }$Sb${}_4$ single crystals
• Non-collinear ferromagnetism in the Kondo lattice Ce${}_5$CoGe${}_2$