Fermi-liquid instabilities at magnetic quantum phase transitions

By H. Lohneysen, Achim Rosch, M. Vojta, P. Wolfle. 2006

1,235 citations recorded by the source corpus.

This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals with particular emphasis on magnetic quantum critical points. Both the existing theoretical concepts and experimental data on selected materials are presented; with the aim of assessing the validity of presently available theory. After briefly recalling the fundamentals of Fermi-liquid theory, the local Fermi-liquid state in quantum impurity models and their lattice versions is described. Next, the scaling concepts applicable to quantum phase transitions are presented. The Hertz-Millis-Moriya theory of quantum phase transitions is described in detail. The breakdown of the latter is analyzed in several examples. In the final part experimental data on heavy-fermion materials and transition-metal alloys are reviewed and confronted with existing theory.

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

View Paper: https://www.semanticscholar.org/paper/8090e0fb274e04e01f4a85912b7baba2f06ec998

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In Condensed Matter Physics

In Electronic, Optical and Magnetic Materials

Citations in the corpus

Numerical renormalization group method for quantum impurity systems (2007, background): “The term ‘local criticality’ has been first used in the context of phase transitions in certain heavy fermion systems, such as CeCu6−xAux (Si et al., 2001, 1999; v. Löhneysen et al., 2007).”
Electrodynamics of correlated electron materials (2011, background): “Candidates are for example found in heavy-fermion systems (Coleman and Schofield, 2005; v. Löhneysen et al., 2007) and high Tc superconductors (Varma et al., 1989).”
Machine learning quantum phases of matter beyond the fermion sign problem (2016, background): “…problems in statistical physics – the many-electron system, which is known to give rise to some of the most intriguing collective phenomena such as the formation of high-temperature super-conductors [9], non-Fermi liquids [10, 11], or Mott insulators with fractionalized excitations [12].”
Superconducting phases of f -electron compounds (2009, neutral): “For reviews we refer to (Belitz et al., 2005; Hertz, 1976; v. Löhneysen et al., 2007; Monthoux et al., 2007; Sachdev, 1999; Stewart, 2001, 2006; Vojta, 2003).”
Superconductivity in iron compounds (2011, background): “There are known (Stewart, 2001; 2006; von Löhneysen et al., 2007) temperature dependences in below 20 K Rev. Mod.”
Quantum criticality in heavy-fermion metals (2007, background): “It is not until recent years that QCPs have been experimentally observed.(4,5) Particularly clear-cut examples have come from heavy fermion (HF) metals, rare-earth-based intermetallic compounds in which the effective charge carrier masses are hundreds times that of the bare electron mass.”
Pseudogap state near a quantum critical point (2012, background): “In the limit (4), the Landau damping is strong, leading to a weak-coupling limit of our theory, and dominates over theω2-term in the bare propagatorD−1.”
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, background): “Non-local correlations, on the other hand, are at the heart of some of the most fascinating physical phenomena such as high-temperature superconductivity (Bednorz and Müller, 1986) and quantum criticality (v. Löhneysen et al., 2007).”