journal article·2024-04-12Open access

Atomic-scale magnetic doping of monolayer stanene by revealing Kondo effect from self-assembled Fe spin entities

Nitin Kumar, Ye-Shun Lan, Iksu Jang, Yen-Hui Lin, Chia-Ju Chen, Tzu-Hsuan Lin, Horng-Tay Jeng, Po-Yao Chang, Pin-Jui Hsu

npj Quantum Materials· Volume 9· Issue 1

Abstract

Abstract Atomic-scale spin entity in a two-dimensional topological insulator lays the foundation to manufacture magnetic topological materials with single atomic thickness. Here, we have successfully fabricated Fe monomer, dimer and trimer doped in the monolayer stanene/Cu(111) through a low-temperature growth and systematically investigated Kondo effect by combining scanning tunneling microscopy/spectroscopy (STM/STS) with density functional theory (DFT) and numerical renormalization group (NRG) method. Given high spatial and energy resolution, tunneling conductance (dI/dU) spectra have resolved zero-bias Kondo resonance and resultant magnetic-field-dependent Zeeman splitting, yielding an effective spin Seff = 3/2 with an easy-plane magnetic anisotropy on the self-assembled Fe atomic dopants. Reduced Kondo temperature along with attenuated Kondo intensity from Fe monomer to trimer have been further identified as a manifestation of Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between Sn-separated Fe atoms. Such magnetic Fe atom assembly in turn constitutes important cornerstones for tailoring topological band structures and developing magnetic phase transition in the single-atom-layer stanene.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Topological Materials and Phenomena · Graphene research and applications · Quantum and electron transport phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (66)

Show source-provided references
1. Kondo, J. Resistance minimum in dilute magnetic alloys. Prog. Theor. Phys. 32, 37–49 (1964).10.1143/PTP.32.37 ↗
2. Kouwenhoven, L. & Glazman, L. Revival of the kondo effect. Phys. World 14, 33 (2001).10.1088/2058-7058/14/1/28 ↗
3. Ternes, M., Heinrich, A. J. & Schneider, W.-D. Spectroscopic manifestations of the kondo effect on single adatoms. J. Phys. Condens. Matter 21, 053001 (2008).10.1088/0953-8984/21/5/053001 ↗
4. Li, J., Schneider, W.-D., Berndt, R. & Delley, B. Kondo scattering observed at a single magnetic impurity. Phys. Rev. Lett. 80, 2893 (1998).10.1103/PhysRevLett.80.2893 ↗
5. Madhavan, V., Chen, W., Jamneala, T., Crommie, M. & Wingreen, N. Tunneling into a single magnetic atom: spectroscopic evidence of the kondo resonance. Science 280, 567–569 (1998).10.1126/science.280.5363.567 ↗
6. Hewson, A. C. The Kondo problem to heavy fermions. 2 (Cambridge University Press, 1997).
7. Prüser, H., Wenderoth, M., Weismann, A. & Ulbrich, R. G. Mapping itinerant electrons around kondo impurities. Phys. Rev. Lett. 108, 166604 (2012).10.1103/PhysRevLett.108.166604 ↗
8. Ren, J. et al. Kondo effect of cobalt adatoms on a graphene monolayer controlled by substrate-induced ripples. Nano Lett. 14, 4011–4015 (2014).10.1021/nl501425n ↗
9. Prüser, H. et al. Long-range kondo signature of a single magnetic impurity. Nat. Phys. 7, 203–206 (2011).10.1038/nphys1876 ↗
10. Schneider, L. et al. Magnetism and in-gap states of 3d transition metal atoms on superconducting re. npj Quant. Mater. 4, 1–8 (2019).10.1038/s41535-019-0179-7 ↗
11. Zhang, Y.-h et al. Temperature and magnetic field dependence of a Kondo system in the weak coupling regime. Nat. Commun. 4, 1–6 (2013).10.1038/ncomms3110 ↗
12. Otte, A. F. et al. The role of magnetic anisotropy in the Kondo effect. Nat. Phys. 4, 847–850 (2008).10.1038/nphys1072 ↗
13. Liu, L. et al. Revealing the atomic site-dependent g factor within a single magnetic molecule via the extended kondo effect. Phys. Rev. Lett. 114, 126601 (2015).10.1103/PhysRevLett.114.126601 ↗
14. Nagaoka, K., Jamneala, T., Grobis, M. & Crommie, M. Temperature dependence of a single kondo impurity. Phys. Rev. Lett. 88, 077205 (2002).10.1103/PhysRevLett.88.077205 ↗
15. Garnier, L. et al. The kondo effect of a molecular tip as a magnetic sensor. Nano Lett. 20, 8193–8199 (2020).10.1021/acs.nanolett.0c03271 ↗
16. Deng, J. et al. Epitaxial growth of ultraflat stanene with topological band inversion. Nat. Mater. 17, 1081–1086 (2018).10.1038/s41563-018-0203-5 ↗
17. Zheng, X., Zhang, J.-F., Tong, B. & Du, R.-R. Epitaxial growth and electronic properties of few-layer stanene on insb (1 1 1). 2D Mater. 7, 011001 (2020).10.1088/2053-1583/ab42b9 ↗
18. Zhu, F.-f et al. Epitaxial growth of two-dimensional stanene. Nat. Mater. 14, 1020–1025 (2015).10.1038/nmat4384 ↗
19. Xu, Y. et al. Large-gap quantum spin hall insulators in tin films. Phys. Rev. Lett. 111, 136804 (2013).10.1103/PhysRevLett.111.136804 ↗
20. Wu, S.-C., Shan, G. & Yan, B. Prediction of near-room-temperature quantum anomalous hall effect on honeycomb materials. Phys. Rev. Lett. 113, 256401 (2014).10.1103/PhysRevLett.113.256401 ↗
21. Zhang, G.-F., Li, Y. & Wu, C. Honeycomb lattice with multiorbital structure: Topological and quantum anomalous hall insulators with large gaps. Phys. Rev. B 90, 075114 (2014).10.1103/PhysRevB.90.075114 ↗
22. Zhang, H., Wang, Z. & Xu, X. Room temperature quantum spin hall insulator: Functionalized stanene on layered pbi2 substrate. Appl. Phys. Lett. 111, 072105 (2017).10.1063/1.4985643 ↗
23. Tokura, Y., Yasuda, K. & Tsukazaki, A. Magnetic topological insulators. Nat. Rev. Phys. 1, 126–143 (2019).10.1038/s42254-018-0011-5 ↗
24. Liu, C.-X., Zhang, S.-C. & Qi, X.-L. The quantum anomalous hall effect: theory and experiment. Annu. Rev. Condens. Matter Phys. 7, 301–321 (2016).10.1146/annurev-conmatphys-031115-011417 ↗
25. Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z. & Zhang, S.-C. Quantum anomalous hall effect in Hg1−yMnyTe quantum wells. Phys. Rev. Lett. 101, 146802 (2008).10.1103/PhysRevLett.101.146802 ↗
26. Yu, R. et al. Quantized anomalous hall effect in magnetic topological insulators. Science 329, 61–64 (2010).10.1126/science.1187485 ↗
27. 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 ↗
28. Zhang, S. et al. Giant dzyaloshinskii-moriya interaction, strong xxz-type biquadratic coupling, and bimeronic excitations in the two-dimensional crmni6 magnet. npj Quant. Mats. 8, 38 (2023).10.1038/s41535-023-00569-4 ↗
29. Chau, T. K., Hong, S. J., Kang, H. & Suh, D. Two-dimensional ferromagnetism detected by proximity-coupled quantum hall effect of graphene. npj Quant. Mats. 7, 27 (2022).10.1038/s41535-022-00435-9 ↗
30. Xiao, R.-C., Shao, D.-F., Li, Y.-H. & Jiang, H. Spin photogalvanic effect in two-dimensional collinear antiferromagnets. npj Quant. Mats. 6, 35 (2021).10.1038/s41535-021-00334-5 ↗
31. Haldane, F. D. M. Model for a quantum hall effect without landau levels: Condensed-matter realization of the “parity anomaly". Phys. Rev. Lett. 61, 2015 (1988).10.1103/PhysRevLett.61.2015 ↗
32. Kumar, N. et al. Self-assembly of magnetic co atoms on stanene. Phys. Rev. Mater. 6, 066001 (2022).10.1103/PhysRevMaterials.6.066001 ↗
33. Frota, H. Shape of the kondo resonance. Phys. Rev. B 45, 1096 (1992).10.1103/PhysRevB.45.1096 ↗
34. Frota, H. & Oliveira, L. Photoemission spectroscopy for the spin-degenerate anderson model. Phys. Rev. B 33, 7871 (1986).10.1103/PhysRevB.33.7871 ↗
35. Rosch, A., Paaske, J., Kroha, J. & Wölfle, P. Nonequilibrium transport through a kondo dot in a magnetic field: Perturbation theory and poor man’s scaling. Phys. Rev. Lett. 90, 076804 (2003).10.1103/PhysRevLett.90.076804 ↗
36. Gatteschi, D., Sessoli, R. & Villain, J. Molecular nanomagnets, vol. 5 (Oxford University Press, 2006).10.1093/acprof:oso/9780198567530.001.0001 ↗
37. Dubout, Q. et al. Controlling the spin of co atoms on pt (111) by hydrogen adsorption. Phys. Rev. Lett. 114, 106807 (2015).10.1103/PhysRevLett.114.106807 ↗
38. Žitko, R., Peters, R. & Pruschke, T. Splitting of the Kondo resonance in anisotropic magnetic impurities on surfaces. N. J. Phys. 11, 053003 (2009).10.1088/1367-2630/11/5/053003 ↗
39. Ternes, M. Probing magnetic excitations and correlations in single and coupled spin systems with scanning tunneling spectroscopy. Prog. Surf. Sci. 92, 83–115 (2017).10.1016/j.progsurf.2017.01.001 ↗
40. Wilson, K. G. The renormalization group: Critical phenomena and the Kondo problem. Rev. Mod. Phys. 47, 773 (1975).10.1103/RevModPhys.47.773 ↗
41. Žitko, R. & Pruschke, T. Energy resolution and discretization artifacts in the numerical renormalization group. Phys. Rev. B 79, 085106 (2009).10.1103/PhysRevB.79.085106 ↗
42. Ruderman, M. A. & Kittel, C. Indirect exchange coupling of nuclear magnetic moments by conduction electrons. Phys. Rev. 96, 99 (1954).10.1103/PhysRev.96.99 ↗
43. Kasuya, T. A theory of metallic ferro-and antiferromagnetism on Zener’s model. Prog. Theor. Phys. 16, 45–57 (1956).10.1143/PTP.16.45 ↗
44. Yosida, K. Magnetic properties of cu-mn alloys. Phys. Rev. 106, 893 (1957).10.1103/PhysRev.106.893 ↗
45. Tamura, H., Shiraishi, K. & Takayanagi, H. Tunable exchange interaction in quantum dot devices. Jpn J. Appl. Phys. 43, L691 (2004).10.1143/JJAP.43.L691 ↗
46. Nejati, A. & Kroha, J. Oscillation and suppression of kondo temperature by rkky coupling in two-site kondo systems. J. Phys. Conf. Ser. 807, 082004 (2017).10.1088/1742-6596/807/8/082004 ↗
47. Bork, J. et al. A tunable two-impurity kondo system in an atomic point contact. Nat. Phys. 7, 901–906 (2011).10.1038/nphys2076 ↗
48. Nejati, A., Ballmann, K. & Kroha, J. Kondo destruction in rkky-coupled kondo lattice and multi-impurity systems. Phys. Rev. Lett. 118, 117204 (2017).10.1103/PhysRevLett.118.117204 ↗
49. Anderson, P. W. A poor man’s derivation of scaling laws for the kondo problem. J. Phys. C: Solid State 3, 2436 (1970).10.1088/0022-3719/3/12/008 ↗
50. Jones, B. A. & Varma, C. M. Study of two magnetic impurities in a fermi gas. Phys. Rev. Lett. 58, 843–846 (1987).10.1103/PhysRevLett.58.843 ↗
51. Bulla, R., Costi, T. A. & Pruschke, T. Numerical renormalization group method for quantum impurity systems. Rev. Mod. Phys. 80, 395 (2008).10.1103/RevModPhys.80.395 ↗
52. Žitko, R. & Bon ča, J. Numerical renormalization group study of two-channel three-impurity triangular clusters. Phys. Rev. B 77, 245112 (2008).10.1103/PhysRevB.77.245112 ↗
53. Doniach, S. The kondo lattice and weak antiferromagnetism. Phys. B+C. 91, 231–234 (1977).10.1016/0378-4363(77)90190-5 ↗
54. Paschen, S. & Si, Q. Quantum phases driven by strong correlations. Nat. Rev. Phys. 3, 9–26 (2020).10.1038/s42254-020-00262-6 ↗
55. Wahl, P. et al. Exchange interaction between single magnetic adatoms. Phys. Rev. Lett. 98, 056601 (2007).10.1103/PhysRevLett.98.056601 ↗
56. Moro-Lagares, M. et al. Real space manifestations of coherent screening in atomic scale kondo lattices. Nat. Commun. 10, 2211 (2019).10.1038/s41467-019-10103-5 ↗
57. Spinelli, A. et al. Exploring the phase diagram of the two-impurity kondo problem. Nat. Commun. 6, 10046 (2015).10.1038/ncomms10046 ↗
58. Trishin, S. et al. Tuning a two-impurity kondo system by a moiré superstructure. Phys. Rev. Lett. 130, 176201 (2023).10.1103/PhysRevLett.130.176201 ↗
59. Tsukahara, N. et al. Evolution of kondo resonance from a single impurity molecule to the two-dimensional lattice. Phys. Rev. Lett. 106, 187201 (2011).10.1103/PhysRevLett.106.187201 ↗
60. Kresse, G. & Hafner, J. Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47, 558 (1993).10.1103/PhysRevB.47.558 ↗
61. Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comp. Mater. Sci. 6, 15–50 (1996).10.1016/0927-0256(96)00008-0 ↗
62. Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169 (1996).10.1103/PhysRevB.54.11169 ↗
63. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).10.1103/PhysRevLett.77.3865 ↗
64. Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758 (1999).10.1103/PhysRevB.59.1758 ↗
65. Pizzi, G. et al. Wannier90 as a community code: new features and applications. J. Phys. Condens. Matter 32, 165902 (2020).10.1088/1361-648X/ab51ff ↗
66. Wu, Q., Zhang, S., Song, H.-F., Troyer, M. & Soluyanov, A. A. Wanniertools: An open-source software package for novel topological materials. Comput. Phys. Commun. 224, 405–416 (2018).10.1016/j.cpc.2017.09.033 ↗