Emergent states in heavy electron materials

Abstract

We obtain the conditions necessary for the emergence of various low temperature ordered states (local moment antiferromagnetism, unconventional superconductivity, quantum criticality, and Landau Fermi liquid behavior) in Kondo lattice materials by extending the two-fluid phenomenological theory of heavy electron behavior to incorporate the concept of hybridization effectiveness. We use this expanded framework to present a new phase digram and consistent physical explanation and quantitative description of measured emergent behaviors such as the pressure variation of the onset of local moment antiferromagnetic ordering at T_N, the magnitude of the ordered moment, the growth of superconductivity within that ordered state, the location of a quantum critical point, and of a delocalization line in the pressure/temperature phase diagram at which local moments have disappeared and the heavy electron Fermi surface has grown to its maximum size. We apply our model to CeRhIn_5 and a number of other heavy electron materials and find good agreement with experiment.

20 pages, 8 figures, 1 table

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• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
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• Universal Behavior in Heavy Electron Materials
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• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
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• NMR Investigation of antiferromagnetism and coherence in URu${}_2$Si${}_{2-x}$P${}_x$
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• Anisotropic hybridization in a new Kondo lattice compound CeCoInGa${}_3$
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• The influence of antiferromagnetism, soft out-of plane phonons and heavy electrons on the superconducting pairing mechanism of Ba1-xKxFe2As2