Multiple quantum phase transitions and superconductivity in Ce-based heavy fermions

Abstract

Heavy fermions have served as prototype examples of strongly-correlated electron systems. The occurrence of unconventional superconductivity in close proximity to the electronic instabilities associated with various degrees of freedom points to an intricate relationship between superconductivity and other electronic states, which is unique but also shares some common features with high temperature superconductivity. The magnetic order in heavy fermion compounds can be continuously suppressed by tuning external parameters to a quantum critical point, and the role of quantum criticality in determining the properties of heavy fermion systems is an important unresolved issue. Here we review the recent progress of studies on Ce based heavy fermion superconductors, with an emphasis on the superconductivity emerging on the edge of magnetic and charge instabilities as well as the quantum phase transitions which occur by tuning different parameters, such as pressure, magnetic field and doping. We discuss systems where multiple quantum critical points occur and whether they can be classified in a unified manner, in particular in terms of the evolution of the Fermi surface topology.

To appear in Reports on Progress in Physics: Special issue on strongly correlated electron systems, 24 pages, 22 figures

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• Electronic structure of cerium: A comprehensive first-principles study
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• First-Order Reversal Curves of the Magnetostructural Phase Transition in FeTe
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• Influence of Pr substitution on physical properties of Ce${}_{1-x}$Pr${}_x$CoGe${}_3$ system: A combined experimental and first-principles study
• Suppression of ferromagnetism and influence of disorder in silicon-substituted CeRh6Ge4
• Abnormal Normal State and Pressure-driven Reentrant Superconductivity in the Heavy $d$-electron Superconductor Rh${}_{17}$S${}_{15}$
• Structural and magnetic properties of CeZnAl${}_3$ single crystals
• Structural and magnetic properties of antiferromagnetic Ce${}_2$IrGa${}_{12}$
• Magnetic properties of the layered heavy fermion antiferromagnet CePdGa${}_6$
• Nuclear magnetic resonance investigation of the heavy fermion system Ce${}_2$CoAl${}_7$Ge${}_4$
• Ferromagnetism and structural phase transition in rhombohedral PrIr3
• Inverse melting and intertwined orders in PrCuSb${}_2$
• Magnetic field induced antiferromagnetic tricritical points in Ce${}_2$Sb and Ce${}_2$Bi
• Structural and Physical Properties of the Heavy Fermion Metal Ce${}_2$NiAl${}_6$Si${}_5$
• Inelastic neutron scattering and muon spin relaxation investigations of the deuterated Kondo lattices CeNiSnD${}_x$
• Importance of anisotropic interactions for hard-axis/plane ordering of Ce-based ferromagnets
• Cluster glass behavior and magnetocaloric effect in the hexagonal polymorph of disordered Ce${}_2$PdGe${}_3$
• Magnetic properties of $R$Rh${}_6$Ge${}_4$ ($R$ = Pr, Nd, Sm, Gd-Er) single crystals
• Measurements of electronic band structure in CeCoGe${}_3$ by angle-resolved photoemission spectroscopy
• Antiferromagnetism of CeCd${}_{0.67}$As${}_2$ existing deep inside the narrow gap semiconducting state
• Magnetic structure and crystal field states of antiferromagnetic CeNiGe${}_3$: Neutron scattering and $\mu$SR investigations
• Excess heat capacity in magnetically ordered Ce heavy fermion metals
• Non-collinear ferromagnetism in the Kondo lattice Ce${}_5$CoGe${}_2$