Ferromagnetism and Fermi-surface transition in the periodic Anderson model: Second-order phase transition without symmetry breaking

Abstract

We study ferromagnetism in the periodic Anderson model with and without a magnetic field by the Gutzwiller theory. We find three ferromagnetic phases: a weak ferromagnetic phase (FM0), a half-metallic phase without Fermi surface for the majority spin (FM1), and a ferromagnetic phase with almost completely polarized f-electrons (FM2). The Fermi surface changes from the large Fermi-surface in the paramagnetic state to the small Fermi-surface in FM2. We also find that the transitions between the ferromagnetic phases can be second-order phase transitions in spite of the absence of symmetry breaking. While we cannot define an order parameter for such transitions in an ordinary way, the topology of the Fermi surface characterizes the transitions, i.e., they are Lifshitz transitions.

10 pages, 8 figures

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• Criticalities in the itinerant ferromagnet UGe${}_2$
• Lifshitz Transitions in Magnetic Phases of the Periodic Anderson Model
• Mechanism for transitions between ferromagnetic and antiferromagnetic orders in $d$-electron metallic magnets
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• Tricritical wings in UGe${}_2$: A microscopic interpretation
• Microscopic mechanism for the unusual antiferromagnetic order and the pressure-induced transition to ferromagnetism in USb${}_2$
• Electronic correlations, spectral and magnetic properties of ZrZn${}_2$
• Variational Wavefunction for the Periodic Anderson Model with Onsite Correlation Factors
• Degenerate orbital effect in a three orbital periodic Anderson model