Quantum Criticality in Heavy Fermion Metals

Abstract

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. Heavy fermion metals have in recent years emerged as prototypical systems to study quantum critical points. There have been considerable efforts, both experimental and theoretical, which use these magnetic systems to address problems that are central to the broad understanding of strongly correlated quantum matter. Here, we summarize some of the basic issues, including i) the extent to which the quantum criticality in heavy fermion metals goes beyond the standard theory of order-parameter fluctuations, ii) the nature of the Kondo effect in the quantum critical regime, iii) the non-Fermi liquid phenomena that accompany quantum criticality, and iv) the interplay between quantum criticality and unconventional superconductivity.

(v2) 39 pages, 8 figures; shortened per the editorial mandate; to appear in Nature Physics. (v1) 43 pages, 8 figures; Non-technical review article, intended for general readers; the discussion part contains more specialized topics

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• "Deconfined" quantum critical points
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Cited by in corpus (29)

• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Superconductivity induced by phosphorus doping and its coexistence with ferromagnetism in EuFe${}_2$(As${}_{0.7}$P${}_{0.3}$)${}_2$
• Iron pnictides as a new setting for quantum criticality
• Kondo resonance narrowing in d- and f-electron systems
• Families of IIB duals for nonrelativistic CFTs
• Direct observation of quantum criticality in Ising spin chains
• Fluctuating spin density waves in metals
• Divergence of the Magnetic Grüneisen Ratio at the Field-Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Magnetic-Field Dependence of the YbRh2Si2 Fermi Surface
• Quantum Fidelity and Thermal Phase Transitions
• Layered Kondo lattice model for quantum critical beta-YbAlB4
• Correlation effects in the iron pnictides
• Dimensional crossover of quantum critical behavior in CeCoIn${}_5$
• YbRh2Si2: Quantum tricritical behavior in itinerant electron systems
• Signature of quantum criticality in photoemission spectroscopy at elevated temperature
• Violation of critical universality at the antiferromagnetic phase transition of YbRh2Si2
• 4f-derived Fermi Surfaces of CeRu2(Si[1-x]Ge[x])2 near the Quantum Critical Point: Resonant Soft X-ray ARPES Study
• Finite Size Scaling of Classical Long-Ranged Ising Chains and the Criticality of Dissipative Quantum Impurity Models
• Magnetic susceptibility of YbRh2Si2 and YbIr2Si2 on the basis of a localized 4f electron approach
• Evolution of Quantum Criticality in CeNi_{9-x}Cu_xGe_4
• Grüneisen ratio at the Kondo breakdown quantum critical point
• Strongly correlated Fermi-systems: non-Fermi liquid behavior, quasiparticle effective mass and their interplay
• Exact solutions of a class of S=1 quantum Ising spin models
• Echo of the Quantum Phase Transition of CeCu${}_{6-x}$Au${}_x$ in XPS: Breakdown of Kondo Screening
• Apparent Violation of the Wiedemann-Franz law near a magnetic field tuned metal-antiferromagnetic quantum critical point
• Quantum criticality in layered CeRhIn_{5-x}Sn_x compared with cubic CeIn$_{3-x}Sn_x
• Energy scales and magnetoresistance at a quantum critical point
• Quantum critical point in high-temperature superconductors
• Kondo Lattice Scenario in Disordered Semiconductor Heterostructures