Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions

Abstract

We investigate metamagnetic transitions in models for heavy fermions by considering the doped Kondo lattice model in two dimensions. Results are obtained within the framework of dynamical mean field and dynamical cluster approximations. Universal magnetization curves for different temperatures and Kondo couplings develop upon scaling with the lattice coherence temperature. Furthermore, the coupling of the local moments to the magnetic field is varied to take into account the different Landé factors of localized and itinerant electrons. The competition between the lattice coherence scale and the Zeeman energy scale allows for two interpretations of the metamagnetism in heavy fermions: Kondo breakdown or Lifshitz transitions. By tracking the single-particle residue through the transition, we can uniquely conclude in favor of the Lifshitz transition scenario. In this scenario, a quasiparticle band drops below the Fermi energy which leads to a change in topology of the Fermi surface.

8 pages, 7 figures

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• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
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• Fermi Surface Properties, Metamgnetic Transition and Quantum Phase Transition of CeRu${}_2$Si${}_2$ and Its Alloys Probed by the dHvA Effect--Fermi Surface Studies on the Itinerant and Localized Dichotomy of $f$ Electron Nature
• Metamagnetism and the Fifth Order Susceptibility in UPt3
• Phase diagram of CeSb${}_2$ from magnetostriction and magnetization measurements: Evidence for ferrimagnetic and antiferromagnetic states
• Competition of striped magnetic order and partial Kondo screened state in the Kondo lattice model
• Field evolution of quantum critical and heavy Fermi-liquid components in the magnetization of the mixed valence compound beta-YbAlB4
• Kondo screening and beyond: an x-ray absorption and dichroism study of CePt${}_5$/Pt(111)
• Non-Local Deformation of a Supersymmetric Field Theory
• Nature of field-induced transitions and hysteretic magnetoresistance in non-collinear antiferromagnet EuIn2As2