Quantum criticality in heavy-fermion metals

By Philipp Gegenwart, Qimiao Si, Frank Steglich. 2007

1,041 citations recorded by the source corpus.

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, that 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 the extent to which the quantum criticality in heavy-fermion metals goes beyond the standard theory of order-parameter fluctuations, the nature of the Kondo effect in the quantum-critical regime, the non-Fermi-liquid phenomena that accompany quantum criticality and the interplay between quantum criticality and unconventional superconductivity. At a zero-temperature phase transition from one ordered state to another, fluctuations between the two states lead to quantum critical behaviour that can lead to unexpected physics. Metals with ‘heavy’ electrons often harbour such weird states.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/31ae6e00acf0c3dd9181ee6fbf9a4ae8e51d3899

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Citations in the corpus

Lectures on holographic methods for condensed matter physics (2009, background): “local moments become screened by the conduction electrons. See for instance [14, 15 ].”
Magnetically driven superconductivity in CeCu$_2$Si$_2$ (2011, background): “5 ) has pushed this notion into the framework of AF quantum criticalit”
Holographic Superconductors (2008, background): “The heavy fermion compounds come to mind as good candidate systems [28].”
Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms (2009, methodology): “We demonstrate, in particular, how to implement the KugelKhomskii model studied in the context of transition metal oxides [9, 10, 11, 12, 13], the Kondo lattice model [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26] studied in context of manganese oxide perovskites [20] and heavy fermion materia”
Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “[23, 27, 28] for recent reviews), which appear not to be explainable using the standard Landau paradigm.”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “However, understanding the various aspects of quantum criticality in quantum systems represents a major challenge to our knowledge of many-body physics (Coleman and Schofield, 2005; Gegenwart et al., 2008; Löhneysen et al., 2007; Sachdev and Keimer, 2011; Sondhi et al., 1997; Vojta, 2003).”
A Quantum Critical Point Lying Beneath the Superconducting Dome in Iron Pnictides (2013, background): “The quantum criticality has been studied most extensively in non superconducting heavy fermion systems [44, 53, 54], such as CeCu6−xAux [56] and YbRh2Si2 [57], and the ruthenate Sr3Ru2O7 [58].”
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