Abstract
Based on the random phase approximation calculation in two-orbital honeycomb lattice model, we investigate the pairing symmetry of Ni-based transition-metal trichalcogenides by electron doping access to type-II van Hove singularities (vHs). We find that chiral even-parity d + id-wave (Eg) state is suppressed by odd-parity p + ip-wave (Eu) state when electron doping approaches the type-II vHs. The type-II vHs peak in density of states (DOS) enables to strengthen the ferromagnetic fluctuation, which is responsible for triplet pairing. The competition between antiferromagnetic and ferromagnetic fluctuation results in pairing phase transition from singlet to triplet pairing. The Ni-based transition-metal trichalcogenides provide a promising platform to unconventional superconductor emerging from electronic DOS.
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References
B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Quantum spin Hall effect and topological phase transition in HgTe quantum wells, Science 314(5806), 1757 (2006)
M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. W. Molenkamp, X. L. Qi, and S. C. Zhang, Quantum spin Hall insulator state in HgTe quantum wells, Science 318, 766 (2007)
H. J. Zhang, C. X. Liu, X. L. Qi, X. Dai, Z. Fang, and S. C. Zhang, Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface, Nat. Phys. 5(6), 438 (2009)
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Observation of a large-gap topological-insulator class with a single Dirac cone on the surface, Nat. Phys. 5(6), 398 (2009)
L. Fu, Topological crystalline insulators, Phys. Rev. Lett. 106(10), 106802 (2011)
T. H. Hsieh, H. Lin, J. W. Liu, W. H. Duan, A. Bansil, and L. Fu, Topological crystalline insulators in the SnTe material class, Nat. Commun. 3(1), 982 (2012)
Z. J. Wang, H. M. Weng, Q. S. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd3As2, Phys. Rev. B 88(12), 125427 (2013)
H. M. Weng, C. Fang, Z. Fang, B. A. Bernevig, and X. Dai, Weyl semimetal phase in noncentrosymmetric transition-metal monophosphides, Phys. Rev. X 5(1), 011029 (2015)
B. Q. Lv, N. Xu, H. M. Weng, J. Z. Ma, P. Richard, X. C. Huang, L. X. Zhao, G. F. Chen, C. E. Matt, F. Bisti, V. N. Strocov, J. Mesot, Z. Fang, X. Dai, T. Qian, M. Shi, and H. Ding, Observation of Weyl nodes in TaAs, Nat. Phys. 11(9), 724 (2015)
N. N. Hao and J. P. Hu, Topological phases in the single-layer FeSe, Phys. Rev. X 4(3), 031053 (2014)
X. X. Wu, S. S. Qin, Y. Liang, C. C. Le, H. Fan, and J. P. Hu, CaFeAs2: A staggered intercalation of quantum spin Hall and high-temperature superconductivity, Phys. Rev. B 91(8), 081111 (2015)
X. X. Wu, S. S. Qin, Y. Liang, H. Fan, and J. P. Hu, Topological characters in Fe(Te1−xSex) thin films, Phys. Rev. B 93(11), 115129 (2016)
D. F. Wang, L. Y. Kong, P. Fan, H. Chen, S. Y. Zhu, W. Y. Liu, L. Cao, Y. J. Sun, S. X. Du, J. Schneeloch, R. D. Zhong, G. D. Gu, L. Fu, H. Ding, and H. J. Gao, Evidence for Majorana bound states in an iron-based superconductor, Science 362(6412), 333 (2018)
Z. B. Yan, F. Song, and Z. Wang, Majorana corner modes in a high-temperature platform, Phys. Rev. Lett. 121(9), 096803 (2018)
Q. Y. Wang, C. C. Liu, Y. M. Lu, and F. Zhang, High-temperature Majorana corner states, Phys. Rev. Lett. 121(18), 186801 (2018)
R. X. Zhang, W. S. Cole, and S. Das Sarma, Helical hinge Majorana modes in iron-based superconductors, Phys. Rev. Lett. 122(18), 187001 (2019)
X. X. Wu, W. A. Benalcazar, Y. X. Li, R. Thomale, C. X. Liu, and J. P. Hu, Boundary-obstructed topological high-Tc superconductivity in iron pnictides, Phys. Rev. X 10(4), 041014 (2020)
A. Y. Kitaev, Fault-tolerant quantum computation by anyons, Ann. Phys. 303(1), 2 (2003)
M. H. Freedman, P/NP, and the quantum field computer, Proc. Natl. Acad. Sci. USA 95(1), 98 (1998)
N. Read and D. Green, Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect, Phys. Rev. B 61(15), 10267 (2000)
L. Y. Kong, S. Y. Zhu, M. Papaj, H. Chen, L. Cao, H. Isobe, Y. Q. Xing, W. Y. Liu, D. F. Wang, P. Fan, Y. J. Sun, S. X. Du, J. Schneeloch, R. D. Zhong, G. D. Gu, L. Fu, H. J. Gao, and H. Ding, Half-integer level shift of vortex bound states in an iron-based superconductor, Nat. Phys. 15(11), 1181 (2019)
S. Y. Zhu, L. Y. Kong, L. Cao, H. Chen, M. Papaj, S. X. Du, Y. Q. Xing, W. Y. Liu, D. F. Wang, C. M. Shen, F. Z. Yang, J. Schneeloch, R. D. Zhong, G. D. Gu, L. Fu, Y. Y. Zhang, H. Ding, and H. J. Gao, Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor, Science 367(6474), 189 (2020)
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature 556(7699), 43 (2018)
Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, Correlated insulator behaviour at half-filling in magic-angle graphene superlattices, Nature 556(7699), 80 (2018)
M. Yankowitz, S. Chen, H. Polshyn, Y. Zhang, K. Watanabe, T. Taniguchi, D. Graf, A. F. Young, and C. R. Dean, Tuning superconductivity in twisted bilayer graphene, Science 363(6431), 1059 (2019)
X. Lu, P. Stepanov, W. Yang, M. Xie, M. A. Aamir, I. Das, C. Urgell, K. Watanabe, T. Taniguchi, G. Zhang, A. Bachtold, A. H. MacDonald, and D. K. Efetov, Superconductors, orbital magnets and correlated states in magicangle bilayer graphene, Nature 574(7780), 653 (2019)
A. R. Wildes, V. Simonet, E. Ressouche, G. J. McIntyre, M. Avdeev, E. Suard, S. A. J. Kimber, D. Lancon, G. Pepe, B. Moubaraki, and T. J. Hicks, Magnetic structure of the quasi-two-dimensional antiferromagnet NiPS3, Phys. Rev. B 92(22), 224408 (2015)
B. L. Chittari, Y. Park, D. Lee, M. Han, A. H. MacDonald, E. Hwang, and J. Jung, Electronic and magnetic properties of single-layer MPX3 metal phosphorous trichalcogenides, Phys. Rev. B 94(18), 184428 (2016)
N. Sivadas, M. W. Daniels, R. H. Swendsen, S. Okamoto, and D. Xiao, Magnetic ground state of semiconducting transition-metal trichalcogenide monolayers, Phys. Rev. B 91(23), 235425 (2015)
J. U. Lee, S. Lee, J. H. Ryoo, S. Kang, T. Y. Kim, P. Kim, C. H. Park, J. Park, and H. Cheong, Ising-type magnetic ordering in atomically thin FePS3, Nano Lett. 16(12), 7433 (2016)
C. T. Kuo, M. Neumann, K. Balamurugan, H. J. Park, S. Kang, H. W. Shiu, J. H. Kang, B. H. Hong, M. Han, T. W. Noh, and J. G. Park, Exfoliation and Raman spectroscopic fingerprint of few-layer NiPS3 van der Waals crystals, Sci. Rep. 6(1), 20904 (2016)
Y. G. Wang, J. J. Ying, Z. Y. Zhou, J. L. Sun, T. Wen, Y. N. Zhou, N. N. Li, Q. Zhang, F. Han, Y. M. Xiao, P. Chow, W. G. Yang, V. V. Struzhkin, Y. S. Zhao, and H. K. Mao, Emergent superconductivity in an iron-based honeycomb lattice initiated by pressure-driven spin-crossover, Nat. Commun. 9(1), 1914 (2018)
Y. H. Gu, Q. Zhang, C. C. Le, Y. X. Li, T. Xiang, and J. P. Hu, Ni-based transition metal trichalcogenide mono-layer: A strongly correlated quadruple-layer graphene, Phys. Rev. B 100(16), 165405 (2019)
H. Yao and F. Yang, Topological odd-parity superconductivity at type-II two-dimensional van Hove singularities, Phys. Rev. B 92(3), 035132 (2015)
R. Nandkishore, L. S. Levitov, and A. V. Chubukov, Chiral superconductivity from repulsive interactions in doped graphene, Nat. Phys. 8(2), 158 (2012)
W. S. Wang, Y. Y. Xiang, Q. H. Wang, F. Wang, F. Yang, and D. H. Lee, Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping, Phys. Rev. B 85(3), 035414 (2012)
M. L. Kiesel, C. Platt, W. Hanke, D. A. Abanin, and R. Thomale, Competing many-body instabilities and unconventional superconductivity in graphene, Phys. Rev. B 82(2), 020507 (2012)
T. X. Ma, F. Yang, H. Yao, and H. Q. Lin, Possible triplet p+ip superconductivity in graphene at low filling, Phys. Rev. B 90, 245114 (2014)
Z. Y. Meng, F. Yang, K. S. Chen, H. Yao, and H. Y. Kee, Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities, Phys. Rev. B 91(18), 184509 (2015)
X. Chen, Y. G. Yao, H. Yao, F. Yang, and J. Ni, Topological p+ip superconductivity in doped graphene-like singlesheet materials BC3, Phys. Rev. B 92(17), 174503 (2015)
L. D. Zhang, F. Yang, and Y. G. Yao, Itinerant ferromagnetism and p+ip superconductivity in doped bilayer silicene, Phys. Rev. B 92(10), 104504 (2015)
C. C. Liu, L. D. Zhang, W. Q. Chen, and F. Yang, Chiral spin density wave and d+id superconductivity in the magic-angle-twisted bilayer graphene, Phys. Rev. Lett. 121(21), 217001 (2018)
H. Isobe, N. F. Q. Yuan, and L. Fu, Unconventional superconductivity and density waves in twisted bilayer graphene, Phys. Rev. X 8(4), 041041 (2018)
D. Di Sante, X. Wu, M. Fink, W. Hanke, and R. Thomale, Triplet superconductivity in the Dirac semimetal germanene on a substrate, Phys. Rev. B 99(20), 201106 (2019)
X. X. Wu, M. Fink, W. Hanke, R. Thomale, and D. Di Sante, Unconventional superconductivity in a doped quantum spin Hall insulator, Phys. Rev. B 100(4), 041117 (2019)
Y. X. Li, X. X. Wu, Y. H. Gu, C. C. Le, S. S. Qin, R. Thomale, and J. P. Hu, Topological superconductivity in Ni-based transition metal trichalcogenides, Phys. Rev. B 100, 214513 (2019)
S. Graser, T. A. Maier, P. J. Hirschfeld, and D. J. Scalapino, Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides, New J. Phys. 11(2), 025016 (2009)
A. F. Kemper, T. A. Maier, S. Graser, H. P. Cheng, P. J. Hirschfeld, and D. J. Scalapino, Sensitivity of the superconducting state and magnetic susceptibility to key aspects of electronic structure in ferropnictides, New J. Phys. 12(7), 073030 (2010)
X. X. Wu, F. Yang, C. C. Le, H. Fan, and J. P. Hu, Triplet pz-wave pairing in quasi-one-dimensional A2Cr3As3 superconductors (A = K, Rb, Cs), Phys. Rev. B 92(10), 104511 (2015)
L. D. Zhang, F. Yang, and Y. G. Yao, Possible electric-field-induced superconducting states in doped silicene, Sci. Rep. 5(1), 8203 (2015)
Y. T. Kang, C. Lu, F. Yang, and D. X. Yao, Single-orbital realization of high-temperature s± superconductivity in the square-octagon lattice, Phys. Rev. B 99(18), 184506 (2019)
L. D. Zhang, X. X. Wu, H. Fan, F. Yang, and J. P. Hu, Revisitation of superconductivity in K2Cr3As3 based on the six-band model, Europhys. Lett. 113(3), 37003 (2016)
F. Liu, C. C. Liu, K. H. Wu, F. Yang, and Y. G. Yao, d+id chiral superconductivity in bilayer silicene, Phys. Rev. Lett. 111(6), 066804 (2013)
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arXiv: 2103.1375. This article can also be found at http://journal.hep.com.cn/fop/EN/10.1007/s11467-021-1068-7.
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Li, YX., Yang, XT. p + ip-wave pairing symmetry at type-II van Hove singularities. Front. Phys. 16, 53501 (2021). https://doi.org/10.1007/s11467-021-1068-7
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DOI: https://doi.org/10.1007/s11467-021-1068-7