Heavy Fermions and Quantum Phase Transitions

Abstract

Quantum phase transitions arise in many-body systems due to competing interactions that promote rivaling ground states. Recent years have seen the identification of continuous quantum phase transitions, or quantum critical points, in a host of antiferromagnetic heavy-fermion compounds. Studies of the interplay between the various effects have revealed new classes of quantum critical points, and are uncovering a plethora of new quantum phases. At the same time, quantum criticality has provided fresh insights into the electronic, magnetic, and superconducting properties of the heavy-fermion metals. We review these developments, discuss the open issues, and outline some directions for future research.

review article, 26 pages, 4 figures

References in corpus (23)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Locally critical quantum phase transitions in strongly correlated metals
• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Hall-effect evolution across a heavy-fermion quantum critical point
• Imaging the Fano Lattice to 'Hidden Order' Transition in URu2Si2
• Multiple energy scales at a quantum critical point
• Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Global Magnetic Phase Diagram and Local Quantum Criticality in Heavy Fermion Metals
• Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
• Superconductivity on the threshold of magnetism in CePd2Si2 and CeIn3
• Divergence of the Magnetic Grüneisen Ratio at the Field-Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Antiferromagnetic criticality at a heavy-fermion quantum phase transition
• Valence Fluctuations Revealed by Magnetic Field Scan: Comparison with Experiments in YbXCu_4 (X=In, Ag, Cd) and CeYIn_5 (Y=Ir, Rh)
• Heavy holes: precursor to superconductivity in antiferromagnetic CeIn3
• Separation of energy scales in undoped YbRh${}_2$Si${}_2$ under hydrostatic pressure
• Signature of quantum criticality in photoemission spectroscopy at elevated temperature

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