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The heavy-fermion superconductor CeCu$_{2}$Si$_{2}$ exhibits two-band, $d$-wave superconductivity with a finite energy gap over the whole Fermi surface around the magnetic instability where 4$f$ antiferrerromagnetic order is suppressed. In…

Superconductivity · Physics 2023-06-21 Z. Y. Shan , M. Smidman , O. Stockert , Y. Liu , H. Q. Yuan , P. J. Sun , S. Wirth , E. Schuberth , F. Steglich

The tetragonal heavy-fermion metal YbRh$_2$Si$_2$ orders antiferromagnetically at $T_{\rm N} = 70$ mK and exhibits an unconventional quantum critical point (QCP) of Kondo-destroying type at $B_{\rm N} = 60$ mT, for the magnetic field…

Superconductivity · Physics 2022-04-28 Erwin Schuberth , S. Wirth , F. Steglich

Superconductivity in lanthanide- and actinide-based heavy-fermion metals can have different microscopic origins. Among others, Cooper pair formation based on fluctuations of the valence, of the quadrupole moment or of the spin of the…

Superconductivity · Physics 2012-08-21 F. Steglich , O. Stockert , S. Wirth , C. Geibel , H. Q. Yuan , S. Kirchner , Q. Si

The origin of unconventional superconductivity, including high-temperature and heavy-fermion superconductivity, is still a matter of controversy. Spin excitations instead of phonons are thought to be responsible for the formation of Cooper…

A key aspect of unconventional pairing by the antiferromagnetic spin-fluctuation mechanism is that the superconducting energy gap must have opposite sign on different parts of the Fermi surface. Recent observations of non-nodal gap…

In exotic superconductors including high-$T_c$ copper-oxides, the interactions mediating electron Cooper-pairing are widely considered to have a magnetic rather than the conventional electron-phonon origin. Interest in such exotic pairing…

We report the discovery of exotic superconductivity (SC) and novel magnetism in heavy-fermion (HF) compounds, CeCu$_2$Si$_2$, CeRhIn$_5$ and CeIn$_3$ through nuclear-quadrupole-resonance (NQR) measurements under pressure ($P$). The exotic…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Kitaoka , S. Kawasaki , Y. Kawasaki , T. Mito , G. -q. Zheng

Superconductivity in the heavy-fermion compound CeCu2Si2 is a prototypical example of Cooper pairs formed by strongly correlated electrons. For more than 30 years, it has been believed to arise from nodal d-wave pairing mediated by a…

Conventional superconductivity, as used in this review, refers to electron-phonon coupled superconducting electron-pairs described by BCS theory. Unconventional superconductivity refers to superconductors where the Cooper pairs are not…

Superconductivity · Physics 2017-06-07 G. R. Stewart

The magnetic ordering temperature of some rare earth based heavy fermion compounds is strongly pressure-dependent and can be completely suppressed at a critical pressure, p$_c$, making way for novel correlated electron states close to this…

Strongly Correlated Electrons · Physics 2009-10-31 F. M. Grosche , I. R. Walker , S. R. Julian , N. D. Mathur , D. M. Freye , M. J. Steiner , G. G. Lonzarich

Despite almost 40 years of research, the origin of heavy-fermion superconductivity is still strongly debated. Especially, the pressure-induced enhancement of superconductivity in CeCu$_2$Si$_2$ away from the magnetic breakdown is not…

Strongly Correlated Electrons · Physics 2018-09-10 Gernot W. Scheerer , Zhi Ren , Shinji Watanabe , Gérard Lapertot , Dai Aoki , Didier Jaccard , Kazumasa Miyake

The pressure-temperature-phase diagram of the new heavy-fermion superconductor CeAu$_2$Si$_2$ is markedly different from those studied previously. Indeed, superconductivity emerges, not on the verge, but deep inside the magnetic phase. In…

Strongly Correlated Electrons · Physics 2017-06-02 Gernot W. Scheerer , Gaétan Giriat , Zhi Ren , Gérard Lapertot , Didier Jaccard

A fundamental problem posed from the study of correlated electron compounds, of which heavy-fermion systems are prototypes, is the need to understand the physics of states near a quantum critical point (QCP). At a QCP, magnetic order is…

The anomalous transport and thermodynamic properties in the quantum-critical region, in the cuprates, and in the quasi-two dimensional Fe-based superconductors and heavy-fermion compounds, have the same temperature dependences. This can…

Strongly Correlated Electrons · Physics 2016-07-27 Chandra M. Varma

The heavy-fermion metal CeCu$_2$Si$_2$ was the first discovered unconventional, non-phonon-mediated superconductor, and for a long time was believed to exhibit single-band $d$-wave superconductivity, as inferred from various measurements…

Superconductivity · Physics 2023-10-13 Michael Smidman , Oliver Stockert , Emilian M. Nica , Yang Liu , Huiqiu Yuan , Qimiao Si , Frank Steglich

In several unconventional superconductors, the highest superconducting transition temperature $T_{c}$ is found in a region of the phase diagram where the antiferromagnetic transition temperature extrapolates to zero, signaling a putative…

Superconductivity · Physics 2017-05-31 Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

Motivated by recent experiments reporting superconductivity only at very low temperature in a class of heavy fermion compounds, we study the impact of energy fluctuations with small momentum transfer on the pairing instability near an…

Superconductivity · Physics 2018-12-31 Jian Kang , Rafael M. Fernandes , Elihu Abrahams , Peter Wölfle

We report a pressure ($P$) effect on CeCu$_2$(Si$_{0.98}$Ge$_{0.02}$)$_2$ where an antiferromagnetic (AFM) order at $T_N \sim$ 0.75 K coexists with superconductivity below $T_c \sim$ 0.4 K\@. At pressures exceeding $P = 0.19$ GPa, the AFM…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Kawasaki , K. Ishida , S. Kawasaki , T. Mito , G. -q. Zheng , Y. Kitaoka , C. Geibel , F. Steglich

Superconductivity often emerges in the proximity of, or in competition with, symmetry breaking ground states such as antiferromagnetism or charge density waves (CDW)1-5. A number of materials in the cuprate family, which includes the…

Competing electronic states are found in the large majority of unconventional superconductors, including high-Tc cuprates, iron based superconductors and many heavy fermion systems. The complex interplay is reflected in phase diagrams as a…

Superconductivity · Physics 2015-11-18 P. K. Biswas , Z. Guguchia , R. Khasanov , M. Chinotti , L. Li , Kefeng Wang , C. Petrovic , E. Morenzoni
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