Fragile topological band in the checkerboard antiferromagnetic monolayer FeSe
Source abstract
Abstract
Abstract By means of the first-principles calculations and magnetic topological quantum chemistry, we demonstrate that the low-energy physics in the checkerboard antiferromagnetic (AFM) monolayer FeSe, very close to an AFM topological insulator that hosts robust edge states, can be well captured by a double-degenerate nearly flat band with fragile topology just below the Fermi level. The Wilson loop calculations identify that such fragile topology is protected by the S4z symmetry, which gives rise to a 2D second-order topological insulator that supports the bound state with fractional charge e/2 at the sample corner. This work provides a platform to study the intriguing properties of magnetic fragile topological electronic states. Previous observations of the edge states and bound states in checkerboard AFM monolayer FeSe can also be well understood in our work.
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Research context
OpenAlex topics: Iron-based superconductors research · Topological Materials and Phenomena · 2D Materials and Applications
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References (66)
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1. Kane, C. L. & Mele, E. J. Quantum spin hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).10.1103/PhysRevLett.95.226801 ↗
2. Bernevig, B. A., Hughes, T. L. & Zhang, S.-C. Quantum spin hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757–1761 (2006).10.1126/science.1133734 ↗
3. König, M. et al. Quantum spin hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007).10.1126/science.1148047 ↗
4. Zhang, H. et al. Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface. Nat. Phys. 5, 438–442 (2009).10.1038/nphys1270 ↗
5. Chen, Y. L. et al. Experimental realization of a three-dimensional topological insulator, Bi2Te3. Science 325, 178–181 (2009).10.1126/science.1173034 ↗
6. Fu, L. Topological crystalline insulators. Phys. Rev. Lett. 106, 106802 (2011).10.1103/PhysRevLett.106.106802 ↗
7. Hsieh, T. H. et al. Topological crystalline insulators in the SnTe material class. Nat. Commun. 3, 1–7 (2012).10.1038/ncomms1969 ↗
8. Slager, R.-J., Mesaros, A., Juričić, V. & Zaanen, J. The space group classification of topological band-insulators. Nat. Phys. 9, 98–102 (2013).10.1038/nphys2513 ↗
9. Wang, Z., Alexandradinata, A., Cava, R. J. & Bernevig, B. A. Hourglass fermions. Nature 532, 189–194 (2016).10.1038/nature17410 ↗
10. Benalcazar, W. A., Bernevig, B. A. & Hughes, T. L. Quantized electric multipole insulators. Science 357, 61–66 (2017).10.1126/science.aah6442 ↗
11. Benalcazar, W. A., Bernevig, B. A. & Hughes, T. L. Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators. Phys. Rev. B 96, 245115 (2017).10.1103/PhysRevB.96.245115 ↗
12. Schindler, F. et al. Higher-order topological insulators. Sci. Adv. 4, eaat0346 (2018).10.1126/sciadv.aat0346 ↗
13. Song, Z., Fang, Z. & Fang, C. (d − 2)-dimensional edge states of rotation symmetry protected topological states. Phys. Rev. Lett. 119, 246402 (2017).10.1103/PhysRevLett.119.246402 ↗
14. Xu, Y., Song, Z., Wang, Z., Weng, H. & Dai, X. Higher-order topology of the axion insulator EuIn2As2. Phys. Rev. Lett. 122, 256402 (2019).10.1103/PhysRevLett.122.256402 ↗
15. Wieder, B. J. & Bernevig, B. A. The axion insulator as a pump of fragile topology. Preprintat https://arxiv.org/abs/1810.02373 (2018).
16. Zou, J., He, Z. & Xu, G. Higher-order topological insulators in a crisscross antiferromagnetic model. Phys. Rev. B 100, 235137 (2019).10.1103/PhysRevB.100.235137 ↗
17. Mong, R. S. K., Essin, A. M. & Moore, J. E. Antiferromagnetic topological insulators. Phys. Rev. B 81, 245209 (2010).10.1103/PhysRevB.81.245209 ↗
18. Yu, R. et al. Quantized anomalous hall effect in magnetic topological insulators. Science 329, 61–64 (2010).10.1126/science.1187485 ↗
19. Li, R., Wang, J., Qi, X.-L. & Zhang, S.-C. Dynamical axion field in topological magnetic insulators. Nat. Phys. 6, 284–288 (2010).10.1038/nphys1534 ↗
20. Chang, C.-Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013).10.1126/science.1234414 ↗
21. Deng, Y. et al. Quantum anomalous Hall effect in intrinsic magnetic topological insulator MnBi2Te4. Science 367, 895–900 (2020).10.1126/science.aax8156 ↗
22. Xu, Y. et al. High-throughput calculations of magnetic topological materials. Nature 586, 702–707 (2020).10.1038/s41586-020-2837-0 ↗
23. Elcoro, L. et al. Magnetic topological quantum chemistry. Nat. Commun. 12, 1–10 (2021).10.1038/s41467-021-26241-8 ↗
24. Zhang, D. et al. Topological axion states in the magnetic insulator MnBi2Te4 with the quantized magnetoelectric effect. Phys. Rev. Lett. 122, 206401 (2019).10.1103/PhysRevLett.122.206401 ↗
25. Liu, C. et al. Robust axion insulator and chern insulator phases in a two-dimensional antiferromagnetic topological insulator. Nat. Mater. 19, 522–527 (2020).10.1038/s41563-019-0573-3 ↗
26. Xu, G., Weng, H., Wang, Z., Dai, X. & Fang, Z. Chern semimetal and the quantized anomalous hall effect in HgCr2Se4. Phys. Rev. Lett. 107, 186806 (2011).10.1103/PhysRevLett.107.186806 ↗
27. Zou, J., He, Z. & Xu, G. The study of magnetic topological semimetals by first principles calculations. Npj Comput. Mater. 5, 1–19 (2019).10.1038/s41524-019-0237-5 ↗
28. Po, H. C., Watanabe, H. & Vishwanath, A. Fragile topology and Wannier obstructions. Phys. Rev. Lett. 121, 126402 (2018).10.1103/PhysRevLett.121.126402 ↗
29. Cano, J. et al. Topology of disconnected elementary band representations. Phys. Rev. Lett. 120, 266401 (2018).10.1103/PhysRevLett.120.266401 ↗
30. Bouhon, A., Lange, G. F. & Slager, R.-J. Topological correspondence between magnetic space group representations and subdimensions. Phys. Rev. B 103, 245127 (2021).10.1103/PhysRevB.103.245127 ↗
31. Lange, G. F., Bouhon, A. & Slager, R.-J. Subdimensional topologies, indicators, and higher order boundary effects. Phys. Rev. B 103, 195145 (2021).10.1103/PhysRevB.103.195145 ↗
32. Song, Z.-D., Elcoro, L. & Bernevig, B. A. Twisted bulk-boundary correspondence of fragile topology. Science 367, 794–797 (2020).10.1126/science.aaz7650 ↗
33. Peri, V. et al. Experimental characterization of fragile topology in an acoustic metamaterial. Science 367, 797–800 (2020).10.1126/science.aaz7654 ↗
34. Xie, F., Song, Z., Lian, B. & Bernevig, B. A. Topology-bounded superfluid weight in twisted bilayer graphene. Phys. Rev. Lett. 124, 167002 (2020).10.1103/PhysRevLett.124.167002 ↗
35. Peri, V., Song, Z.-D., Bernevig, B. A. & Huber, S. D. Fragile topology and flat-band superconductivity in the strong-coupling regime. Phys. Rev. Lett. 126, 027002 (2021).10.1103/PhysRevLett.126.027002 ↗
36. Herzog-Arbeitman, J., Song, Z.-D., Regnault, N. & Bernevig, B. A. Hofstadter topology: Noncrystalline topological materials at high flux. Phys. Rev. Lett. 125, 236804 (2020).10.1103/PhysRevLett.125.236804 ↗
37. Lian, B., Xie, F. & Bernevig, B. A. Landau level of fragile topology. Phys. Rev. B 102, 041402 (2020).10.1103/PhysRevB.102.041402 ↗
38. Tan, S. et al. Interface-induced superconductivity and strain-dependent spin density waves in FeSe/SrTiO3 thin films. Nat. Mater. 12, 634–640 (2013).10.1038/nmat3654 ↗
39. He, S. et al. Phase diagram and electronic indication of high-temperature superconductivity at 65 K in single-layer FeSe films. Nat. Mater. 12, 605–610 (2013).10.1038/nmat3648 ↗
40. Ge, J.-F. et al. Superconductivity above 100 K in single-layer FeSe films on doped SrTiO3. Nat. Mater. 14, 285–289 (2015).10.1038/nmat4153 ↗
41. Wang, Z. et al. Topological nature of the FeSe0.5Te0.5 superconductor. Phys. Rev. B 92, 115119 (2015).10.1103/PhysRevB.92.115119 ↗
42. Xu, G., Lian, B., Tang, P., Qi, X.-L. & Zhang, S.-C. Topological superconductivity on the surface of Fe-based superconductors. Phys. Rev. Lett. 117, 047001 (2016).10.1103/PhysRevLett.117.047001 ↗
43. Zhang, P. et al. Observation of topological superconductivity on the surface of an iron-based superconductor. Science 360, 182–186 (2018).10.1126/science.aan4596 ↗
44. Hao, N. & Hu, J. Topological phases in the single-layer FeSe. Phys. Rev. X 4, 031053 (2014).
45. Zhang, P. et al. Multiple topological states in iron-based superconductors. Nat. Phys. 15, 41–47 (2019).10.1038/s41567-018-0280-z ↗
46. Wang, Z. et al. Topological edge states in a high-temperature superconductor FeSe/SrTiO3 (001) film. Nat. Mater. 15, 968–973 (2016).10.1038/nmat4686 ↗
47. Yuan, Y. et al. Edge states at nematic domain walls in FeSe films. Nano Lett. 18, 7176–7180 (2018).10.1021/acs.nanolett.8b03282 ↗
48. Kruthoff, J., de Boer, J., van Wezel, J., Kane, C. L. & Slager, R.-J. Topological classification of crystalline insulators through band structure combinatorics. Phys. Rev. X 7, 041069 (2017).
49. Po, H. C., Vishwanath, A. & Watanabe, H. Symmetry-based indicators of band topology in the 230 space groups. Nat. Commun. 8, 1–9 (2017).10.1038/s41467-016-0009-6 ↗
50. Bradlyn, B. et al. Topological quantum chemistry. Nature 547, 298–305 (2017).10.1038/nature23268 ↗
51. Watanabe, H., Po, H. C. & Vishwanath, A. Structure and topology of band structures in the 1651 magnetic space groups. Sci. Adv. 4, eaat8685 (2018).10.1126/sciadv.aat8685 ↗
52. Gallego, S. V., Tasci, E. S., Flor, G., Perez-Mato, J. M. & Aroyo, M. I. Magnetic symmetry in the bilbao crystallographic server: a computer program to provide systematic absences of magnetic neutron diffraction. J. Appl. Crystallogr. 45, 1236–1247 (2012).10.1107/S0021889812042185 ↗
53. Bouhon, A., Black-Schaffer, A. M. & Slager, R.-J. Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time-reversal symmetry. Phys. Rev. B 100, 195135 (2019).10.1103/PhysRevB.100.195135 ↗
54. Bradlyn, B., Wang, Z., Cano, J. & Bernevig, B. A. Disconnected elementary band representations, fragile topology, and Wilson loops as topological indices: an example on the triangular lattice. Phys. Rev. B 99, 045140 (2019).10.1103/PhysRevB.99.045140 ↗
55. Alexandradinata, A., Dai, X. & Bernevig, B. A. Wilson-loop characterization of inversion-symmetric topological insulators. Phys. Rev. B 89, 155114 (2014).10.1103/PhysRevB.89.155114 ↗
56. Hwang, Y., Ahn, J. & Yang, B.-J. Fragile topology protected by inversion symmetry: diagnosis, bulk-boundary correspondence, and Wilson loop. Phys. Rev. B 100, 205126 (2019).10.1103/PhysRevB.100.205126 ↗
57. Song, Z.-D. et al. Delocalization transition of a disordered axion insulator. Phys. Rev. Lett. 127, 016602 (2021).10.1103/PhysRevLett.127.016602 ↗
58. Yang, Y. et al. Time-reversal-symmetry-broken quantum spin Hall effect. Phys. Rev. Lett. 107, 066602 (2011).10.1103/PhysRevLett.107.066602 ↗
59. Li, H., Sheng, L. & Xing, D. Y. Connection of edge states to bulk topological invariance in a quantum spin hall state. Phys. Rev. Lett. 108, 196806 (2012).10.1103/PhysRevLett.108.196806 ↗
60. Alexandradinata, A., Dai, X. & Bernevig, B. A. Wilson-loop characterization of inversion-symmetric topological insulators. Phys. Rev. B 89, 155114 (2014).10.1103/PhysRevB.89.155114 ↗
61. Chen, C. et al. Universal approach to magnetic second-order topological insulator. Phys. Rev. Lett. 125, 056402 (2020).10.1103/PhysRevLett.125.056402 ↗
62. Kresse, G. & Hafner, J. Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47, 558–561 (1993).10.1103/PhysRevB.47.558 ↗
63. Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).10.1103/PhysRevB.54.11169 ↗
64. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).10.1103/PhysRevLett.77.3865 ↗
65. Anisimov, V. I., Zaanen, J. & Andersen, O. K. Band theory and mott insulators: Hubbard U instead of stoner I. Phys. Rev. B 44, 943–954 (1991).10.1103/PhysRevB.44.943 ↗
66. Mostofi, A. A. et al. An updated version of wannier90: a tool for obtaining maximally-localised wannier functions. Comput. Phys. Commun. 185, 2309–2310 (2014).10.1016/j.cpc.2014.05.003 ↗