Abstract
The notion of multiband superconductivity with dominant two-gap features has been recently applied to the unconventional superconductor CeCu2Si2 for challenging the previously accepted concept of nodal d-wave pairing. In the proposed study, the realistic multiband Fermi surface topology of CeCu2Si2 was obtained through first-principles calculations, and analysis was conducted with an effective two-band hybridization model including detailed band structure. Within the T-matrix approximation, the obtained calculation results show that different pairing candidates, including fully gapped s-wave, loop-nodal s-wave, and d-wave pairings, could yield qualitatively distinct features characterized by impurity-induced bound states. These features can be verified through high-resolution scanning tunneling microscopy or spectroscopy and provide corroborative justification that would be beneficial for the ongoing research regarding the superconducting gap symmetry of CeCu2Si2 at ambient pressure.
References
F. Steglich, J. Aarts, C. D. Bredl, W. Lieke, D. Meschede, W. Franz, and H. Schafer, Superconductivity in the presence of strong pauli paramagnetism: CeCu2Si2, Phys. Rev. Lett. 43(25), 1892 (1979)
H. Q. Yuan, F. M. Grosche, M. Deppe, C. Geibel, G. Sparn, and F. Steglich, Observation of two distinct superconducting phases in CeCu2Si2, Science 302(5653), 2104 (2003)
F. Steglich, Twenty-five years of heavy-fermion superconductivity, Physica B 359–361, 326 (2005)
C. Bredl, H. Spille, U. Rauchschwalbe, W. Lieke, F. Steglich, G. Cordier, W. Assmus, M. Herrmann, and J. Aarts, Gapless superconductivity and variation of Tc in the heavy-fermion system CeCu2Si2, J. Magn. Magn. Mater. 31–34, 373 (1983)
J. Arndt, O. Stockert, K. Schmalzl, E. Faulhaber, H. S. Jeevan, C. Geibel, W. Schmidt, M. Loewenhaupt, and F. Steglich, Spin fluctuations in normal state CeCu2Si2 on approaching the quantum critical point, Phys. Rev. Lett. 106(24), 246401 (2011)
K. Ueda, Y. Kitaoka, H. Yamada, Y. Kohori, T. Kohara, and K. Asayama, 29Si knight shift in the heavy-fermion superconductor CeCu2Si2, J. Phys. Soc. Jpn. 56(3), 867 (1987)
Y. Kitaoka, K. Ueda, K. Fujiwara, H. Arimoto, H. Iida, and K. Asayama, NMR investigation of superconductivity and Kondo-coherency in CeCu2Si2, J. Phys. Soc. Jpn. 55(3), 723 (1986)
K. Fujiwara, Y. Hata, K. Kobayashi, K. Miyoshi, J. Takeuchi, Y. Shimaoka, H. Kotegawa, T. C. Kobayashi, C. Geibel, and F. Steglich, High pressure NQR measurement in CeCu2Si2 up to sudden disappearance of superconductivity, J. Phys. Soc. Jpn. 77(12), 123711 (2008)
O. Stockert, J. Arndt, E. Faulhaber, C. Geibel, H. S. Jeevan, S. Kirchner, M. Loewenhaupt, K. Schmalzl, W. Schmidt, Q. Si, and F. Steglich, Magnetically driven superconductivity in CeCu2Si2, Nat. Phys. 7(2), 119 (2011)
H. A. Vieyra, N. Oeschler, S. Seiro, H. S. Jeevan, C. Geibel, D. Parker, and F. Steglich, Determination of gap symmetry from angle-dependent Hc2 measurements on CeCu2Si2, Phys. Rev. Lett. 106(20), 207001 (2011)
I. Eremin, G. Zwicknagl, P. Thalmeier, and P. Fulde, Feedback spin resonance in superconducting CeCu2Si2 and CeCoIn5, Phys. Rev. Lett. 101(18), 187001 (2008)
S. Kittaka, Y. Aoki, Y. Shimura, T. Sakakibara, S. Seiro, C. Geibel, F. Steglich, H. Ikeda, and K. Machida, Multiband superconductivity with unexpected deficiency of nodal quasiparticles in CeCu2Si2, Phys. Rev. Lett. 112(6), 067002 (2014)
S. Kittaka, Y. Aoki, Y. Shimura, T. Sakakibara, S. Seiro, C. Geibel, F. Steglich, Y. Tsutsumi, H. Ikeda, and K. Machida, Thermodynamic study of gap structure and pair-breaking effect by magnetic field in the heavyfermion superconductor CeCu2Si2, Phys. Rev. B 94(5), 054514 (2016)
M. Enayat, Z. Sun, A. Maldonado, H. Suderow, S. Seiro, C. Geibel, S. Wirth, F. Steglich, and P. Wahl, Superconducting gap and vortex lattice of the heavy-fermion compound CeCu2Si2, Phys. Rev. B 93(4), 045123 (2016)
G. M. Pang, M. Smidman, J. L. Zhang, L. Jiao, Z. F. Weng, E. M. Nica, Y. Chen, W. B. Jiang, Y. J. Zhang, H. S. Jeevan, P. Gegenwart, F. Steglich, Q. Si, and H. Q. Yuan, Fully gapped d-wave superconductivity in CeCu2Si2, Proc. Nat. Acad. Sci. 115, 5343 (2018), arXiv: 1605.04786
T. Takenaka, Y. Mizukami, J. A. Wilcox, M. Konczykowski, S. Seiro, C. Geibel, Y. Tokiwa, Y. Kasahara, C. Putzke, Y. Matsuda, A. Carrington, and T. Shibauchi, Full-gap superconductivity robust against disorder in heavy-fermion CeCu2Si2, Phys. Rev. Lett. 119(7), 077001 (2017)
Y. Li, M. Liu, Z. Fu, X. Chen, F. Yang, and Y. F. Yang, Gap symmetry of the heavy fermion superconductor CeCu2Si2 at ambient pressure, Phys. Rev. Lett. 120(21), 217001 (2018)
H. Ikeda, M. Suzuki, and R. Arita, Emergent loop-nodal s-wave superconductivity in CeCu2Si2: Similarities to the iron-based superconductors, Phys. Rev. Lett. 114(14), 147003 (2015)
Ø. Fischer, M. Kugler, I. Maggio-Aprile, C. Berthod, and C. Renner, Scanning tunneling spectroscopy of hightemperature superconductors, Rev. Mod. Phys. 79(1), 353 (2007)
G. Knebel, D. Aoki, and J. Flouquet, Antiferromagnetism and superconductivity in cerium based heavy-fermion compounds, C. R. Phys. 12(5–6), 542 (2011)
G. Stewart, Non-Fermi-liquid behavior in d- and felectron metals, Rev. Mod. Phys. 73(4), 797 (2001)
G. R. Stewart, Heavy-fermion systems, Rev. Mod. Phys. 56(4), 755 (1984)
P. Aynajian, E. H. da Silva Neto, A. Gyenis, R. E. Baumbach, J. D. Thompson, Z. Fisk, E. D. Bauer, and A. Yazdani, Visualizing heavy fermions emerging in a quantum critical Kondo lattice, Nature 486(7402), 201 (2012)
M. P. Allan, F. Massee, D. K. Morr, J. van Dyke, A. W. Rost, A. P. Mackenzie, C. Petrovic, and J. C. Davis, Imaging Cooper pairing of heavy fermions in CeCoIn5, Nat. Phys. 9(8), 468 (2013)
B. B. Zhou, S. Misra, E. H. da Silva Neto, P. Aynajian, R. E. Baumbach, J. D. Thompson, E. D. Bauer, and A. Yazdani, Visualizing nodal heavy fermion superconductivity in CeCoIn5, Nat. Phys. 9(8), 474 (2013)
B. Liu, Nonmagnetic impurity resonance states as a test of superconducting pairing symmetry in CeCoIn5, Phys. Rev. B 88(24), 245127 (2013)
G. Zhang, B. Liu, Y. Yang, and S. Feng, Spatial modulation of unitary impurity-induced resonances in superconducting CeCoIn5, Front. Phys. 11(3), 117402 (2016)
G. Zwicknagl and U. Pulst, CeCu2Si2: Renormalized band structure, quasiparticles and co-operative phenomena, Physica B 186–188, 895 (1993)
A. V. Balatsky, I. Vekhter, and J. X. Zhu, Impurityinduced states in conventional and unconventional superconductors, Rev. Mod. Phys. 78(2), 373 (2006)
S. H. Pan, E. W. Hudson, K. M. Lang, H. Eisaki, S. Uchida, and J. C. Davis, Imaging the effects of individual zinc impurity atoms on superconductivity in Bi2Sr2CaCu2O8+d, Nature 403(6771), 746 (2000)
S. H. Pan, J. P. O’Neal, R. L. Badzey, C. Chamon, H. Ding, J. R. Engelbrecht, Z. Wang, H. Eisaki, S. Uchida, A. K. Gupta, K. W. Ng, E. W. Hudson, K. M. Lang, and J. C. Davis, Microscopic electronic inhomogeneity in the high-T c superconductor Bi2Sr2CaCu2O8+x, Nature 413(6853), 282 (2001)
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11774025, 11774401, and 11522435. Y. Y. was also supported by the National Key R&D Program of China (Grant No. 2017YFA0303103) and the Strategic Priority Research Program (B) of the Chinese Academy of Sciences (Grant No. XDB07020200). S. F. was supported by the National Key R&D Program of China (Grant No. 2016YFA0300304).
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Wang, DD., Liu, B., Liu, M. et al. Impurity-induced bound states as a signature of pairing symmetry in multiband superconducting CeCu2Si2. Front. Phys. 14, 13501 (2019). https://doi.org/10.1007/s11467-018-0852-5
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DOI: https://doi.org/10.1007/s11467-018-0852-5