Abstract
Applying a three-band model and the random phase approximation, we theoretically study the spin excitations in nickelate superconductors, which have been newly discovered. The spin excitations were found to be incommensurate in the low energy region. The spin resonance phenomenon emerged as the excitation energy increased. The intensity can be maximized at the incommensurate or commensurate momentum, depending on the out-of-plane momentum. The spin excitations reverted to incommensurate at higher energies. We also discuss the similarities and differences in the spin excitations of nickelate and cuprate superconductors. Our predicted results can be later validated in inelastic neutron scattering experiments.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. A. Lee, N. Nagaosa, and X. G. Wen, Rev. Mod. Phys. 78, 17 (2006).
Y. B. Liu, Y. Liu, W. H. Jiao, Z. Ren, and G. H. Cao, Sci. China-Phys. Mech. Astron. 61, 127405 (2018), arXiv: 1808.05813.
J. Yang, T. Oka, Z. Li, H. X. Yang, J. Q. Li, G. F. Chen, and G. Q. Zheng, Sci. China-Phys. Mech. Astron. 61, 117411 (2018), arXiv: 1707.04085.
A. Bhattacharyya, D. T. Adroja, M. Smidman, and V. K. Anand, Sci. China-Phys. Mech. Astron. 61, 127402 (2018), arXiv: 1811.12677.
M. Crespin, P. Levitz, and L. Gatineau, J. Chem. Soc. Faraday Trans. 279, 1181 (1983).
M. A. Hayward, M. A. Green, M. J. Rosseinsky, and J. Sloan, J. Am. Chem. Soc. 121, 8843 (1999).
M. A. Hayward, and M. J. Rosseinsky, Solid State Sci. 5, 839 (2003).
T. Siegrist, S. M. Zahurak, D. W. Murphy, and R. S. Roth, Nature 334, 231 (1988).
V. I. Anisimov, D. Bukhvalov, and T. M. Rice, Phys. Rev. B 59, 7901 (1999).
A. Ikeda, T. Manabe, and M. Naito, Physica C 495, 134 (2013).
A. Ikeda, Y. Krockenberger, H. Irie, M. Naito, and H. Yamamoto, Appl. Phys. Express 9, 061101 (2016).
K. W. Lee, and W. E. Pickett, Phys. Rev. B 70, 165109 (2004), arXiv: cond-mat/0405570.
T. Liu, H. Wu, T. Jia, X. Zhang, Z. Zeng, H. Q. Lin, and X. G. Li, AIP Adv. 4, 047132 (2014).
A. S. Botana, and M. R. Norman, Phys. Rev. Mater. 2, 104803 (2018), arXiv: 1807.05046.
D. Li, K. Lee, B. Y. Wang, M. Osada, S. Crossley, H. R. Lee, Y. Cui, Y. Hikita, and H. Y. Hwang, Nature 572, 624 (2019).
A. S. Botana, and M. R. Norman, Phys. Rev. X 10, 011024 (2020).
H. Sakakibara, H. Usui, K. Suzuki, T. Kotani, H. Aoki, and K. Kuroki, arXiv: 1909.00060.
M. Hepting, D. Li, C. J. Jia, H. Lu, E. Paris, Y. Tseng, X. Feng, M. Osada, E. Been, Y. Hikita, Y. D. Chuang, Z. Hussain, K. J. Zhou, A. Nag, M. Garcia-Fernandez, M. Rossi, H. Y. Huang, D. J. Huang, Z. X. Shen, T. Schmitt, H. Y. Hwang, B. Moritz, J. Zaanen, T. P. Devereaux, and W. S. Lee, Nat. Mater. 19, 381 (2020), arXiv: 1909.02678.
X. Wu, D. Di Sante, T. Schwemmer, W. Hanke, H. Y. Hwang, S. Raghu, and R. Thomale, Phys. Rev. B 101, 060504 (2020), arXiv: 1909.03015.
Y. Nomura, M. Hirayama, T. Tadano, Y. Yoshimoto, K. Nakamura, and R. Arita, Phys. Rev. B 100, 205138 (2019), arXiv: 1909.03942.
J. Gao, Z. Wang, C. Fang, and H. Weng, arXiv: 1909.04657.
S. Ryee, H. Yoon, T. J. Kim, M. Y. Jeong, and M. J. Han, Phys. Rev. B 101, 064513 (2020), arXiv: 1909.05824.
N. Singh, arXiv: 1909.07688.
G. M. Zhang, Y. Yang, and F. C. Zhang, Phys. Rev. B 101, 020501(R) (2020), arXiv: 1909.11845.
P. Jiang, L. Si, Z. Liao, and Z. Zhong, Phys. Rev. B 100, 201106 (2019).
L. H. Hu, and C. Wu, Phys. Rev. Res. 1, 032046 (2019), arXiv: 1910.02482.
M. Hirayama, T. Tadano, Y. Nomura, and R. Arita, Phys. Rev. B 101, 075107 (2020), arXiv: 1910.03974.
F. Bernardini, V. Olevano, and A. Cano, Phys. Rev. Res. 2, 013219 (2020), arXiv: 1910.13269.
Y. Gu, S. Zhu, X. Wang, J. Hu, and H. Chen, arXiv: 1911.00814.
Q. Li, C. He, J. Si, X. Zhu, Y. Zhang, and H. H. Wen, arXiv: 1911.02420.
Y. Fu, L. Wang, H. Cheng, S. Pei, X. Zhou, J. Chen, S. Wang, R. Zhao, W. Jiang, C. Liu, M. Huang, X. Wang, Y. Zhao, D. Yu, F. Ye, S. Wang, and J. W. Mei, arXiv: 1911.03177.
X. R. Zhou, Z. X. Feng, P. X. Qin, H. Yan, S. Hu, H. X. Guo, X. N. Wang, H. J. Wu, X. Zhang, H. Y. Chen, X. P. Qiu, and Z. Q. Liu, Rare Met. 39, 368 (2020).
L. Si, W. Xiao, J. Kaufmann, J. M. Tomczak, Y. Lu, Z. Zhong, and K. Held, Phys. Rev. Lett. 124, 166402 (2020), arXiv: 1911.06917.
F. Lechermann, Phys. Rev. B 101, 081110 (2020), arXiv: 1911.11521.
J. Chang, J. Zhao, and Y. Ding, arXiv: 1911.12731.
Z. Liu, Z. Ren, W. Zhu, Z. F. Wang, and J. Yang, npj Quantum Mater. 5, 31 (2020).
E. F. Talantsev, Results Phys. 17, 103118 (2020), arXiv: 1912.06099.
J. Rossat-Mignod, L. P. Regnault, C. Vettier, P. Bourges, P. Burlet, J. Bossy, J. Y. Henry, and G. Lapertot, Physica C 185-189, 86 (1991).
J. M. Tranquada, P. M. Gehring, G. Shirane, S. Shamoto, and M. Sato, Phys. Rev. B 46, 5561 (1992).
H. A. Mook, P. Dai, S. M. Hayden, G. Aeppli, T. G. Perring, and F. Doğan, Nature 395, 580 (1998).
S. M. Hayden, H. A. Mook, P. Dai, T. G. Perring, and F. Dogan, Nature 429, 531 (2004).
P. Bourges, Y. Sidis, H. F. Fong, L. P. Regnault, J. Bossy, A. Ivanov, and B. Keimer, Science 288, 1234 (2000), arXiv: cond-mat/0006086.
S. Pailhés, Y. Sidis, P. Bourges, V. Hinkov, A. Ivanov, C. Ulrich, L. P. Regnault, and B. Keimer, Phys. Rev. Lett. 93, 167001 (2004), arXiv: cond-mat/0403609.
L. Chen, C. Bourbonnais, T. Li, and A. M. Tremblay, Phys. Rev. Lett. 66, 369 (1991).
N. Bulut, and D. J. Scalapino, Phys. Rev. B 47, 3419 (1993).
N. Bulut, D. J. Scalapino, and S. R. White, Phys. Rev. B 47, 2742 (1993).
T. Tanamoto, H. Kohno, and H. Fukuyama, J. Phys. Soc. Jpn. 63, 2739 (1994).
G. Stemmann, C. Pepin, and M. Lavagna, Phys. Rev. B 50, 4075 (1994).
D. Z. Liu, Y. Zha, and K. Levin, Phys. Rev. Lett. 75, 4130 (1995), arXiv: cond-mat/9504095.
N. Bulut, and D. J. Scalapino, Phys. Rev. B 53, 5149 (1996).
J. Brinckmann, and P. A. Lee, Phys. Rev. Lett. 82, 2915 (1999), arXiv: cond-mat/9811038.
J. X. Li, C. Y. Mou, and T. K. Lee, Phys. Rev. B 62, 640 (2000), arXiv: cond-mat/9912488.
D. Manske, I. Eremin, and K. H. Bennemann, Phys. Rev. B 63, 054517 (2001), arXiv: cond-mat/0007083.
T. Zhou, and Z. D. Wang, Phys. Rev. B 76, 094510 (2007), arXiv: 0704.1016.
T. Zhou, and J. X. Li, Phys. Rev. B 69, 224514 (2004).
T. Zhou, and J. X. Li, Phys. Rev. B 72, 134512 (2005), arXiv: condmat/0505545.
K. Kuroki, S. Onari, R. Arita, H. Usui, Y. Tanaka, H. Kontani, and H. Aoki, Phys. Rev. Lett. 101, 087004 (2008), arXiv: 0803.3325.
T. A. Maier, S. Graser, D. J. Scalapino, and P. Hirschfeld, Phys. Rev. B 79, 134520 (2009), arXiv: 0903.0008.
A. F. Kemper, T. A. Maier, S. Graser, H. P. Cheng, P. J. Hirschfeld, and D. J. Scalapino, New J. Phys. 12, 073030 (2010), arXiv: 1003.2777.
Y. Gao, T. Zhou, C. S. Ting, and W. P. Su, Phys. Rev. B 82, 104520 (2010), arXiv: 1003.2609.
Y. Gao, Y. Yu, T. Zhou, H. Huang, and Q. H. Wang, Phys. Rev. B 96, 014515 (2017), arXiv: 1704.07509.
J. X. Li, and Z. D. Wang, Phys. Rev. B 70, 212512 (2004).
A. V. Chubukov, and L. P. Gor’kov, Phys. Rev. Lett. 101, 147004 (2008).
B. Vignolle, S. M. Hayden, D. F. McMorrow, H. M. Rønnow, B. Lake, C. D. Frost, and T. G. Perring, Nat. Phys. 3, 163 (2007).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Supporting Information
The supporting information is available online at phys.scichina.com and springerlink.bibliotecabuap.elogim.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.
This work was supported by the National Key Research and Development Program of China (Grant No. 2016YFA0301800), the General Research Fund (GRF) (Grant Nos. HKU 173309/16P, and HKU173057/17P), and the Collaborative Research Fund (CRF) (Grant No. C6005-17G) of Hong Kong.
Electronic supplementary material
Rights and permissions
About this article
Cite this article
Zhou, T., Gao, Y. & Wang, Z. Spin excitations in nickelate superconductors. Sci. China Phys. Mech. Astron. 63, 287412 (2020). https://doi.org/10.1007/s11433-020-1578-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11433-020-1578-3