- Open Access
Stacking-engineered tunability of electronic and magnetic states in nanofilms
Phys. Rev. Research 8, 013080 – Published 26 January, 2026
DOI: https://doi.org/10.1103/kwd7-mtj9
Abstract
Both monolayer and bilayer were theoretically predicted to be magnetic, whereas bulk was experimentally observed to exhibit a nonmagnetic (NM) ground state. In this work, we pursue the origin of bulk NM behavior and the evolution of magnetism in nanofilms using first-principles calculations. We identified three distinct stacking types in bilayer , further categorized into nine specific configurations. Strikingly, the HH-AA stacking configuration adopts an NM ground state, while the other eight configurations stabilize as antiferromagnetic (AFM) states. The magnetization loss in HH-AA stacking originates from charge transfer from interfacial I atoms to Nb atoms, driving the trimer's transition from ( = 1/2) to ( = 0). Furthermore, multilayer films with bulk stacking exhibit layer-dependent oscillations between ferromagnetic (FM) and NM states, alternating with odd and even layer counts. The NM ground state of bulk , which consists of alternating HH-AA and TT-AC stacking sequences, results from the moment quenching in HH-AA stacking over the AFM coupling in TT-AC stacking. Our findings establish as a promising platform for stacking-engineered functionalities. Its stacking diversity not only broadens the functional landscape of two-dimensional materials but also reveals hidden correlations between structural degrees of freedom and electronic/magnetic responses.
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References (51)
- A. J. Mannix, X.-F. Zhou, B. Kiraly, J. D. Wood, D. Alducin, B. D. Myers, X. Liu, B. L. Fisher, U. Santiago, J. R. Guest, M. J. Yacaman, A. Ponce, A. R. Oganov, M. C. Hersam, and N. P. Guisinger, Synthesis of borophenes: Anisotropic, two-dimensional boron polymorphs, Science 350, 1513 (2015).
- Z. Zhu, C. Li, W. Yu, D. Chang, Q. Sun, and Y. Jia, Magnetism of zigzag edge phosphorene nanoribbons, Appl. Phys. Lett. 105, 113105 (2014).
- A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009).
- Z. Zhu, X. Cai, S. Yi, J. Chen, Y. Dai, C. Niu, Z. Guo, M. Xie, F. Liu, J.-H. Cho, Y. Jia, and Z. Zhang, Multivalency-driven formation of Te-based monolayer materials: A combined first-principles and experimental study, Phys. Rev. Lett. 119, 106101 (2017).
- Z. Zhu, J. Gu, J. Gao, W. Chen, C. Niu, P. Cui, Y. Jia, and Z. Zhang, Structural diversity and topological property of I-based two-dimensional inorganic molecular crystals, Phys. Rev. B 108, 115409 (2023).
- Z. Zhu, P. Cui, X. Cai, M. Xia, Y. Jia, S. Zhang, and Z. Zhang, Red phosphorus in its two-dimensional limit: Novel clathrates with varying band gaps and superior chemical stabilities, Nanoscale 10, 13969 (2018).
- H. Liu, A. T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P. D. Ye, Phosphorene: An unexplored 2D semiconductor with a high hole mobility, ACS Nano 8, 4033 (2014).
- B. Huang, G. Clark, E. Navarro-Moratalla, D. R. Klein, R. Cheng, K. L. Seyler, D. Zhong, E. Schmidgall, M. A. McGuire, D. H. Cobden, W. Yao, D. Xiao, P. Jarillo-Herrero, and X. Xu, Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit, Nature (London) 546, 270 (2017).
- L. Thiel, Z. Wang, M. A. Tschudin, D. Rohner, I. Gutiérrez-Lezama, N. Ubrig, M. Gibertini, E. Giannini, A. F. Morpurgo, and P. Maletinsky, Probing magnetism in 2D materials at the nanoscale with single-spin microscopy, Science 364, 973 (2019).
- C. Gong, L. Li, Z. Li, H. Ji, A. Stern, Y. Xia, T. Cao, W. Bao, C. Wang, Y. Wang, Z. Q. Qiu, R. J. Cava, S. G. Louie, J. Xia, and X. Zhang, Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals, Nature (London) 546, 265 (2017).
- X. Han, J.-Y. You, S. Wu, R. Li, Y. Feng, K. Loh, and X. Zhao, Atomically unveiling an atlas of polytypes in transition-metal trihalides, J. Am. Chem. Soc. 145, 3624 (2023).
- J.-Y. You, Z. Zhang, X.-J. Dong, B. Gu, and G. Su, Two-dimensional magnetic semiconductors with room Curie temperatures, Phys. Rev. Res. 2, 013002 (2020).
- S. Li, T. Liu, C. Liu, Y. Wang, H.-Z. Lu, and X.-C. Xie, Progress on the antiferromagnetic topological insulator , Natl. Sci. Rev. 11, nwac296 (2024).
- J.-Y. You, B. Gu, and G. Su, The p-orbital magnetic topological states on a square lattice, Natl. Sci. Rev. 9, nwab114 (2022).
- M. Blei, J.-L. Lado, Q. Song, D. Dey, O. Erten, V. Pardo, R. Comin, S. Tongay, and A. S. Botana, Synthesis, engineering, and theory of 2D van der Waals magnets, Appl. Phys. Rev. 8, 021301 (2021).
- J.-Y. You, Z. Zhang, B. Gu, and G. Su, Two-dimensional room-temperature ferromagnetic semiconductors with quantum anomalous Hall effect, Phys. Rev. Appl. 12, 024063 (2019).
- C. Huang, J. Feng, F. Wu, D. Ahmed, B. Huang, H. Xiang, K. Deng, and E. Kan, Toward intrinsic room-temperature ferromagnetism in two dimensional semiconductors, J. Am. Chem. Soc. 140, 11519 (2018).
- J.-Y. You, C. Chen, Z. Zhang, X.-L. Sheng, S.-A. Yang, and G. Su, Two-dimensional Weyl half-semimetal and tunable quantum anomalous Hall effect, Phys. Rev. B 100, 064408 (2019).
- X. Jiang, Q. Liu, J. Xing, N. Liu, Y. Guo, Z. Liu, and J. Zhao, Recent progress on 2D magnets: Fundamental mechanism, structural design and modification, Appl. Phys. Rev. 8, 031305 (2021).
- J.-Y. You, X.-J. Dong, B. Gu, and G. Su, Electric field induced topological phase transition and large enhancements of spin-orbit coupling and Curie temperature in two-dimensional ferromagnetic semiconductors, Phys. Rev. B 103, 104403 (2021).
- J. Jiang, Q. Liang, R. Meng, Q. Yang, C. Tan, X. Sun, and X. Chen, Exploration of new ferromagnetic, semiconducting and biocompatible (X = Cl, B or I) monolayers with considerable visible and infrared light absorption, Nanoscale 9, 2992 (2017).
- F. Conte, D. Ninno, and G. Cantele, Layer-dependent electronic and magnetic properties of , Phys. Rev. Res. 2, 033001 (2020).
- G. Cantele, F. Conte, L. Zullo, and D. Ninno, Tunable electronic and magnetic properties of thin nanofilms: Interplay between strain and thickness, Phys. Rev. B 106, 085418 (2022).
- H. Wang and L. Yang, Manipulating photogalvanic effects in two-dimensional multiferroic breathing kagome materials, J. Phys. Chem. Lett. 15, 8689 (2024).
- R. Peng, Y. Ma, X. Xu, Z. He, B. Huang, and Y. Dai, Intrinsic anomalous valley Hall effect in single-layer , Phys. Rev. B 102, 035412 (2020).
- L. Feng, X. Chen, and J. Qi, Nonvolatile electric field control of spin-valley-layer polarized anomalous Hall effect in a two-dimensional multiferroic semiconductor bilayer, Phys. Rev. B 108, 115407 (2023).
- Y. Feng and Q. Yang, Enabling triferroics coupling in breathing kagome lattice ( = Cl, Br, or I) monolayers, J. Mater. Chem. C 11, 5762 (2023).
- J. Kim, Y. Lee, Y. W. Choi, T. S. Jung, S. Son, J. Kim, H. J. Choi, J.-G. Park, and J. H. Kim, Terahertz spectroscopy and DFT analysis of phonon dynamics of the layered vander Waals semiconductor ( = Cl, I), ACS Omega 8, 14190 (2023).
- S. N. Magonov, P. Zoennchen, H. Rotter, H.-J. Cantow, G. Thiele, J. Ren, and M.-H. Whangbo, Scanning tunneling and atomic force microscopy study of layered transition metal halides (X = Cl, Br, or I), J. Am. Chem. Soc. 115, 2495 (1993).
- R. Zhang, B. Li, and J. Yang, Effects of stacking order, layer number and external electric field on electronic structures of few-layer , Nanoscale 7, 14062 (2015).
- P. Lucignano, D. Alfè, V. Cataudella, D. Ninno, and G. Cantele, Crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the magic angle , Phys. Rev. B 99, 195419 (2019).
- F. Conte, D. Ninno, and G. Cantele, Electronic properties and interlayer coupling of twisted heterobilayers, Phys. Rev. B 99, 155429 (2019).
- 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. Ashoori1, and P. Jarillo-Herrero, Correlated insulator at half-filling in magic-angle graphene superlattices, Nature (London) 556, 80 (2018).
- N. Sivadas, S. Okamoto, X. Xu, C. J. Fennie, and D. Xiao, Stacking-dependent magnetism in bilayer , Nano Lett. 18, 7658 (2018).
- P. Jiang, C. Wang, D. Chen, Z. Zhong, Z. Yuan, Z.-Y. Lu, and W. Ji, Stacking tunable interlayer magnetism in bilayer , Phys. Rev. B 99, 144401 (2019).
- L. Liang, Y. Yang, X. Wang, and X. Li, Tunable valley and spin splittings in bilayers, Nano Lett. 23, 858 (2023).
- Z. Zhang, J.-Y. You, B. Gu, and G. Su, Emergent magnetic states due to stacking and strain in the van der Waals magnetic trilayer , Phys. Rev. B 104, 174433 (2021).
- T. Song, Z. Fei, M. Yankowitz, Z. Lin, Q. Jiang, K. Hwangbo, Q. Zhang, B. Sun, T. Taniguchi, K. Watanabe, M. A. McGuire, D. Graf, T. Cao, J.-H. Chu, D. H. Cobden, C. R. Dean, D. Xiao, and X. Xu, Switching 2D magnetic states via pressure tuning of layer stacking, Nat. Mater. 18, 1298 (2019).
- M. Jang, S. Lee, F. Cantos-Prieto, I. Košić, Y. Li, A. R. C. McCray, M.-H. Jung, J.-Y. Yoon, L. Boddapati, F. L. Deepak, H. Y. Jeong, C. M. Phatak, E. J. G. Santos, E. Navarro-Moratalla, and K. Kim, Direct observation of twisted stacking domains in the van der Waals magnet , Nat. Commun. 15, 5925 (2024).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
- J. Klimeš, D. R. Bowler, and A. Michaelides, Van der Waals density functionals applied to solids, Phys. Rev. B 83, 195131 (2011).
- H. J. Monkhorst and J. D. Pack, Special points for Brillonin-Zone integrations, Phys. Rev. B 13, 5188 (1976).
- O. A. Vydrov, J. Heyd, A. V. Krukau, and G. E. Scuseria, Importance of short-range versus long-range Hartree-Fock exchange for the performance of hybrid density functionals, J. Chem. Phys. 125, 074106 (2006).
- J. Heyd, G. E. Scuseria, and M. Ernzerhof, Hybrid functionals based on a screened Coulomb potential, J. Chem. Phys. 118, 8207 (2003).
- See Supplemental Material at https://link.aps.org/supplemental/10.1103/kwd7-mtj9 for more details concerning the effect of the Hubbard U parameter, the structures and electronic properties analysis, and effective intralayer (interlayer) exchange interactions.
- Y. Zhang, Y. Gu, H. Weng, K. Jiang, and J. Hu, Mottness in two-dimensional van der Waals monolayers ( = Cl, Br, or I), Phys. Rev. B 107, 035126 (2023).
- S. Regmi, T. Fernando, Y. Zhao, A. P. Sakhya, G. Dhakal, I. B. Elius, H. Vazquez, J. D. Denlinger, J. Yang, J.-H. Chu, X. Xu, T. Cao, and M. Neupane, Spectroscopic evidence of flat bands in breathing kagome semiconductor , Commun. Mat. 3, 100 (2022).
- P. Wang, X. Li, J. Gu, W. Chen, C. Niu, and Z. Zhi, Stacking-engineered tunability of electronic and magnetic states in Nb3I8 nanofilms [Data set], Zenodo (2025), doi: 10.5281/zenodo.18092382.