Global Magnetic Phase Diagram and Local Quantum Criticality in Heavy Fermion Metals

Abstract

We address the global magnetic phase diagram of Kondo lattice systems. Through the distinct Fermi surface properties of the various phases at zero temperature, we argue that the phase diagram supports two classes of quantum critical point. One of these describes a direct transition from a magnetic metal phase with localized f-electrons to a paramagnetic one with itinerant f-electrons. This result provides the context for the picture of local quantum criticality, in which the Fermi surface jumps across the quantum critical point and the quasiparticle residue vanishes as the quantum critical point is approached from either side. Some of the unusual experiments, concerning the phases and quantum critical points of heavy fermion metals, are discussed from the present perspective. These developments have implications in broader contexts. In particular, they form a part of the growing evidence for quantum criticality that goes beyond the orthodox description in terms of order-parameter fluctuations.

5 pages,2 figures; based on a plenary talk given at SCES '05,Vienna; to appear in Physica B

References in corpus (9)

• "Deconfined" quantum critical points
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hall-effect evolution across a heavy-fermion quantum critical point
• Quantum phase transitions out of the heavy Fermi liquid
• Fractionalization and Fermi surface volume in heavy fermion compounds: the case of YbRh${}_2$ Si${}_2$
• Anisotropic Hall Effect in Single Crystal Heavy Fermion YbAgGe
• Quantum Critical Scaling and origin of Non-Fermi-Liquid behavior in Sc${}_{1-x}$U${}_x$Pd${}_3$
• Magnetic Quantum Phase Transitions in Kondo Lattices
• Consequences of the local spin self-energy approximation on the heavy Fermion quantum phase transition

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