Interplay between unconventional superconductivity and heavy-fermion quantum criticality: CeCu2Si2 versus YbRh2Si2

Smidman, M.; Stockert, O.; Arndt, J.; Pang, G. M.; Jiao, L.; Yuan, H. Q.; Vieyra, H. A.; Kitagawa, S.; Ishida, K.; Fujiwara, K.; Kobayashi, T. C.; Schuberth, E.; Tippmann, M.; Steinke, L.; Lausberg, S.; Steppke, A.; Brando, M.; Pfau, H.; Stockert, U.; Sun, P.; Friedemann, S.; Wirth, S.; Krellner, C.; Kirchner, S.; Nica, E. M.; Yu, R.; Si, Q.; Steglich, Frank

doi:10.1080/14786435.2018.1511070

Title: Interplay between unconventional superconductivity and heavy-fermion quantum criticality: CeCu₂Si₂ versus YbRh₂Si₂

Journal Article · Mon Aug 20 00:00:00 EDT 2018 · Philosophical Magazine (2003, Print)

DOI:https://doi.org/10.1080/14786435.2018.1511070· OSTI ID:1481215

Smidman, M. ^[1]; Stockert, O. ^[2]; Arndt, J. ^[2]; Pang, G. M. ^[1]; Jiao, L. ^[3]; Yuan, H. Q. ^[1]; Vieyra, H. A. ^[2]; Kitagawa, S. ^[4]; Ishida, K. ^[4]; Fujiwara, K. ^[5]; Kobayashi, T. C. ^[6]; Schuberth, E. ^[7]; Tippmann, M. ^[8]; Steinke, L. ^[9]; Lausberg, S. ^[2]; Steppke, A. ^[2]; Brando, M. ^[2]; Pfau, H. ^[10]; Stockert, U. ^[2]; Sun, P. ^[11] more »

Zhejiang Univ., Hangzhou (People's Republic of China)
Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Zhejiang Univ., Hangzhou (People's Republic of China); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Kyoto Univ., Kyoto (Japan)
Shimane Univ., Matsue (Japan)
Okayama Univ., Okayama (Japan)
Bavarian Academy of Sciences, Garching (Germany); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Bavarian Academy of Sciences, Garching (Germany)
Texas A & M Univ., College Station, TX (United States); Bavarian Academy of Sciences, Garching (Germany); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Chinese Academy of Sciences (CAS), Beijing (China); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Univ. of Bristol, Bristol (United Kingdom); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Univ. of Frankfurt, Frankfurt (Germany); Max Planck Institute for Chemical Physics of Solids, Dresden (Germany)
Zhejiang Univ., Hangzhou (People’s Republic of China)
Univ. of British Columbia, Vancouver, BC (Canada); Rice Univ., Houston, TX (United States)
Renmin Univ. of China, Beijing (China); Rice Univ., Houston, TX (United States)
Rice Univ., Houston, TX (United States)
Max Planck Institute for Chemical Physics of Solids, Dresden (Germany); Zhejiang Univ., Hangzhou (People's Republic of China); Chinese Academy of Sciences, Beijing (People's Republic of China)

In this paper the low-temperature properties of two isostructural canonical heavy-fermion compounds are contrasted with regards to the interplay between antiferromagnetic (AF) quantum criticality and superconductivity. For CeCu₂Si₂, fully-gapped d-wave superconductivity forms in the vicinity of an itinerant three-dimensional heavy-fermion spin-density-wave (SDW) quantum critical point (QCP). Inelastic neutron scattering results highlight that both quantum critical SDW fluctuations as well as Mott-type fluctuations of local magnetic moments contribute to the formation of Cooper pairs in CeCu₂Si₂. In YbRh₂Si₂, superconductivity appears to be suppressed at T ≳10 mK by AF order (T_N = 70 mK). Ultra-low temperature measurements reveal a hybrid order between nuclear and 4f-electronic spins, which is dominated by the Yb-derived nuclear spins, to develop at T_A slightly above 2 mK. The hybrid order turns out to strongly compete with the primary 4f-electronic order and to push the material towards its QCP. Apparently, this paves the way for heavy-fermion superconductivity to form at T_c = 2 mK. Like the pressure – induced QCP in CeRhIn₅, the magnetic field – induced one in YbRh₂Si₂ is of the local Kondo-destroying variety which corresponds to a Mott-type transition at zero temperature. Therefore, these materials form the link between the large family of about fifty low-T unconventional heavy – fermion superconductors and other families of unconventional superconductors with higher T_cs, notably the doped Mott insulators of the cuprates, organic charge-transfer salts and some of the Fe-based superconductors. As a result, our study suggests that heavy-fermion superconductivity near an AF QCP is a robust phenomenon.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; 2016YFA0300202; 2017YFA0303100; 11474251; U1632275; TZ2016004; DMR-1611392; C-1411

OSTI ID:: 1481215

Journal Information:: Philosophical Magazine (2003, Print), Vol. 98, Issue 32; ISSN 1478-6435

Publisher:: Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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Pressure Tuning of the Interplay of Magnetism and Superconductivity in ${CeCu}_{2} {Si}_{2}$ Lengyel, E.; Nicklas, M.; Jeevan, H. S. Physical Review Letters, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevLett.107.057001	journal	July 2011
Neutron inelastic scattering peak by dissipationless mechanism in the $s_{+ +}$ -wave state in iron-based superconductors Onari, Seiichiro; Kontani, Hiroshi Physical Review B, Vol. 84, Issue 14 https://doi.org/10.1103/PhysRevB.84.144518	journal	October 2011
High-temperature superconductivity in iron pnictides and chalcogenides Si, Qimiao; Yu, Rong; Abrahams, Elihu Nature Reviews Materials, Vol. 1, Issue 4 https://doi.org/10.1038/natrevmats.2016.17	journal	March 2016
Magnetic and superconducting properties of an $S$ -type single-crystal ${CeCu}_{2} {Si}_{2}$ probed by ${}^{63}{Cu}$ nuclear magnetic resonance and nuclear quadrupole resonance Kitagawa, Shunsaku; Higuchi, Takumi; Manago, Masahiro Physical Review B, Vol. 96, Issue 13 https://doi.org/10.1103/PhysRevB.96.134506	journal	October 2017
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Superconductivity in Ce ${Cu}_{2}$ ${Si}_{2}$ Single Crystals Assmus, W.; Herrmann, M.; Rauchschwalbe, U. Physical Review Letters, Vol. 52, Issue 6 https://doi.org/10.1103/PhysRevLett.52.469	journal	February 1984
$d$ -wave pairing near a spin-density-wave instability Scalapino, D. J.; Loh, E.; Hirsch, J. E. Physical Review B, Vol. 34, Issue 11 https://doi.org/10.1103/PhysRevB.34.8190	journal	December 1986
Critical Fermi surfaces and non-Fermi liquid metals Senthil, T. Physical Review B, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevB.78.035103	journal	July 2008

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Thermopower Evolution in Yb( $$\hbox {Rh}_{1-x}\hbox {Co}_x$$ Rh 1 - x Co x ) $$_2\hbox {Si}_2$$ 2 Si 2 Upon 4f Localization Stockert, U.; Klingner, C.; Krellner, C. Journal of Low Temperature Physics, Vol. 196, Issue 3-4 https://doi.org/10.1007/s10909-019-02187-6	journal	April 2019

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Title: Interplay between unconventional superconductivity and heavy-fermion quantum criticality: CeCu₂Si₂ versus YbRh₂Si₂