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Research Article

Quantum anomalous Hall effect in two-dimensional Cu-dicyanobenzene coloring-triangle lattice

Yixuan Gao1,2, Yu-Yang Zhang1,2,3, Jia-Tao Sun4, Lizhi Zhang1,2( ), Shengbai Zhang5, Shixuan Du1,2,3,6( )
Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
University of Chinese Academy of Sciences, Beijing 100049, China
CAS Center for Excellence in Topological Quantum Computation, Beijing 100190, China
School of Information and Electronics, MIIT Key Laboratory for Low-Dimensional Quantum Structure and Devices, Beijing Institute of Technology, Beijing 100081, China
Rensselaer Polytechnic Institute, Troy, New York 12180, USA
Songshan Lake Materials Laboratory, Dongguan 523808, China
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Abstract

Magnetic two-dimensional (2D) topological insulators with spontaneous magnetization have been predicted to host quantum anomalous Hall effects (QAHEs). For organic topological insulators, the QAHE only exists in honeycomb or Kagome organometallic lattices based on theoretical calculations. Recently, coloring-triangle (CT) lattice has been found to be mathematically equivalent to a Kagome lattice, suggesting a potential 2D lattice to realize QAHE. Here, based on first-principles calculations, we predict an organometallic CT lattice, Cu-dicyanobenzene (DCB), to be a stable QAH insulator. It exhibits ferromagnetic (FM) properties as a result of the charge transfer from metal atoms to DCB molecules. Moreover, based on the Ising model, the Curie temperature of the FM ordering is calculated to be around 100 K. Both the Chern numbers and the chiral edge states of the semi-infinite Cu-DCB edge structure, which occur inside the spin-orbit coupling band gap, confirm its nontrivial topological properties. These make the Cu-DCB CT lattice an ideal candidate to enrich the family of QAH insulators.

Keywords

quantum anomalous Hall effectorganic topological insulatorscoloring-triangle latticeKagome lattice

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References

[1]
Hasan, M. Z.; Kane, C. L. Colloquium: Topological insulators. Rev. Mod. Phys. 2010, 82, 3045-3067.
Google Scholar
[2]
Qi, X. L.; Zhang, S. C. Topological insulators and superconductors. Rev. Mod. Phys. 2011, 83, 1057-1110.
Google Scholar
[3]
Kane, C. L.; Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 2005, 95, 226801.
Google Scholar
[4]
Bernevig, B. A.; Hughes, T. L.; Zhang, S. C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 2006, 314, 1757-1761.
Google Scholar
[5]
Knez, I.; Du, R. R.; Sullivan, G. Evidence for helical edge modes in inverted InAs/GaSb quantum wells. Phys. Rev. Lett. 2011, 107, 136603.
Google Scholar
[6]
Zhou, M.; Ming, W. M.; Liu, Z.; Wang, Z. F.; Li, P.; Liu, F. Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface. Proc. Natl. Acad. Sci. USA 2014, 111, 14378-14381.
Google Scholar
[7]
Gao, L.; Sun, J. T.; Sethi, G.; Zhang, Y. Y.; Du, S. X.; Liu, F. Orbital design of topological insulators from two-dimensional semiconductors. Nanoscale 2019, 11, 22743-22747.
Google Scholar
[8]
Liu, J. W.; Hsieh, T. H.; Wei, P.; Duan, W. H.; Moodera, J.; Fu, L. Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator. Nat. Mater. 2014, 13, 178-183.
Google Scholar
[9]
Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the “parity anomaly”. Phys. Rev. Lett. 1988, 61, 2015-2018.
Google Scholar
[10]
Yu, R.; Zhang, W.; Zhang, H. J.; Zhang, S. C.; Dai, X.; Fang, Z. Quantized anomalous Hall effect in magnetic topological insulators. Science 2010, 329, 61-64.
Google Scholar
[11]
Chang, C. Z.; Zhang, J. S.; Feng, X.; Shen, J.; Zhang, Z. C.; Guo, M. H.; Li, K.; Ou, Y. B.; Wei, P.; Wang, L. L. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 2013, 340, 167-170.
Google Scholar
[12]
Checkelsky, J. G.; Ye, J. T.; Onose, Y.; Iwasa, Y.; Tokura, Y. Dirac-fermion-mediated ferromagnetism in a topological insulator. Nat. Phys. 2012, 8, 729-733.
Google Scholar
[13]
Wang, Z. F.; Liu, Z.; Liu, F. Organic topological insulators in organometallic lattices. Nat. Commun. 2013, 4, 1471.
Google Scholar
[14]
Yamada, M. G.; Soejima, T.; Tsuji, N.; Hirai, D.; Dincă, M.; Aoki, H. First-principles design of a half-filled flat band of the Kagome lattice in two-dimensional metal-organic frameworks. Phys. Rev. B 2016, 94, 081102.
Google Scholar
[15]
Sun, H.; Li, B.; Zhao, J. Half-metallicity in 2D organometallic honeycomb frameworks. J. Phys. Condens. Matter 2016, 28, 425301.
Google Scholar
[16]
Chen, Y.; Sun, Q. Magnetic two-dimensional organic topological insulator: Au-1,3,5-triethynylbenzene framework. J. Chem. Phys. 2017, 147, 104704.
Google Scholar
[17]
Zhang, X. M.; Zhao, M. W. Robust half-metallicity and topological aspects in two-dimensional Cu-TPyB. Sci. Rep. 2015, 5, 14098.
Google Scholar
[18]
Liu, Z.; Wang, Z. F.; Mei, J. W.; Wu, Y. S.; Liu, F. Flat Chern band in a two-dimensional organometallic framework. Phys. Rev. Lett. 2013, 110, 106804.
Google Scholar
[19]
Zhang, L. Z.; Wang, Z. F.; Huang, B.; Cui, B.; Wang, Z. M.; Du, S. X.; Gao, H. J.; Liu, F. Intrinsic two-dimensional organic topological insulators in metal-dicyanoanthracene lattices. Nano Lett. 2016, 16, 2072-2075.
Google Scholar
[20]
Sun, H.; Tan, S. J.; Feng, M.; Zhao, J.; Petek, H. Deconstruction of the electronic properties of a topological insulator with a two-dimensional noble metal-organic honeycomb-Kagome band structure. J. Phys. Chem. C 2018, 122, 18659-18668.
Google Scholar
[21]
Gao, Y. X.; Zhang, L. Z.; Zhang, Y. Y.; Du, S. X. Research progress of two-dimensional organic topological insulators. Acta Phys. Sin. 2018, 67, 238101.
Google Scholar
[22]
Wang, Y. P.; Ji, W. X.; Zhang, C. W.; Li, P.; Wang, P. J.; Kong, B.; Li, S. S.; Yan, S. S.; Liang, K. Discovery of intrinsic quantum anomalous Hall effect in organic Mn-DCA lattice. Appl. Phys. Lett. 2017, 110, 233107.
Google Scholar
[23]
Zhang, Y.; Wei, Z.; Zhang, M. G.; Gu, X.; Huang, L. Giant magnetic anisotropy of a two-dimensional metal-dicyanoanthracene framework. Nanoscale 2018, 10, 17335-17340.
Google Scholar
[24]
Wang, Z. F.; Liu, Z.; Liu, F. Quantum anomalous Hall effect in 2D organic topological insulators. Phys. Rev. Lett. 2013, 110, 196801.
Google Scholar
[25]
Zhang, S. H.; Kang, M.; Huang, H. Q.; Jiang, W.; Ni, X. J.; Kang, L.; Zhang, S. P.; Xu, H. X.; Liu, Z. et al. Kagome bands disguised in a coloring-triangle lattice. Phys. Rev. B 2019, 99, 100404.
Google Scholar
[26]
Zhang, Y. Y.; Du, S. X.; Gao, H. J. The construction and structure-property manipulation of “small-molecule machines”. Chin. Sci. Bull. 2018, 63, 1255-1264.
Google Scholar
[27]
Cai, L. L.; Sun, Q.; Bao, M. L.; Ma, H. H.; Yuan, C. X.; Xu, W. Competition between hydrogen bonds and coordination bonds steered by the surface molecular coverage. ACS Nano 2017, 11, 3727-3732.
Google Scholar
[28]
Repp, J.; Meyer, G.; Paavilainen, S.; Olsson, F. E.; Persson, M. Imaging bond formation between a gold atom and pentacene on an insulating surface. Science 2006, 312, 1196-1199.
Google Scholar
[29]
Kumar, A.; Banerjee, K.; Dvorak, M.; Schulz, F.; Harju, A.; Rinke, P.; Liljeroth, P. Charge-transfer-driven nonplanar adsorption of F4TCNQ molecules on epitaxial graphene. ACS Nano 2017, 11, 4960-4968.
Google Scholar
[30]
Lach, S.; Altenhof, A.; Tarafder, K.; Schmitt, F.; Ali, E.; Vogel, M.; Sauther, J.; Oppeneer, P. M.; Ziegler, C. Metal-organic hybrid interface states of a ferromagnet/organic semiconductor hybrid junction as basis for engineering spin injection in organic spintronics. Adv. Funct. Mater. 2012, 22, 989-997.
Google Scholar
[31]
Lee, K.; Howe, J. D.; Lin, L. C.; Smit, B.; Neaton, J. B. Small-molecule adsorption in open-site metal-organic frameworks: A systematic density functional theory study for rational design. Chem. Mater. 2015, 27, 668-678.
Google Scholar
[32]
Mostofi, A. A.; Yates, J. R.; Lee, Y. S.; Souza, I.; Vanderbilt, D.; Marzari, N. Wannier90: A tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 2008, 178, 685-699.
Google Scholar
[33]
López Sancho, M. P.; López Sancho, J. M.; Rubio, J. Highly convergent schemes for the calculation of bulk and surface Green functions. J. Phys. F Met. Phys. 1985, 15, 851-858.
Google Scholar
[34]
Neupert, T.; Santos, L.; Chamon, C.; Mudry, C. Fractional quantum Hall states at zero magnetic field. Phys. Rev. Lett. 2011, 106, 236804.
Google Scholar
[35]
Tang, E.; Mei, J. W.; Wen, X. G. High-temperature fractional quantum Hall states. Phys. Rev. Lett. 2011, 106, 236802.
Google Scholar
[36]
Kresse, G.; Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 1996, 6, 15-50.
Google Scholar
[37]
Kresse, G.; Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 1996, 54, 11169-11186.
Google Scholar
[38]
Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 1996, 77, 3865-3868.
Google Scholar
[39]
Dudarev, S. L.; Botton, G. A.; Savrasov, S. Y.; Humphreys, C. J.; Sutton, A. P. Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study. Phys. Rev. B 1998, 57, 1505-1509.
Google Scholar
[40]
Grimme, S.; Antony, J.; Ehrlich, S.; Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 2010, 132, 154104.
Google Scholar
Nano Research
Volume 13 Issue 6,
June 2020
Pages 1571-1575
DOI: 10.1007/s12274-020-2772-2
Cite this article:
Gao Y, Zhang Y-Y, Sun J-T, et al. Quantum anomalous Hall effect in two-dimensional Cu-dicyanobenzene coloring-triangle lattice. Nano Research, 2020, 13(6): 1571-1575. https://doi.org/10.1007/s12274-020-2772-2
Topics:
CalculationsCharge transferEnergy gapOrganometallicsSpin orbit couplingTopology

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Received: 14 February 2020
Revised: 13 March 2020
Accepted: 22 March 2020
Published: 14 April 2020
© Tsinghua University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020
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