journal article·2025-04-30Open access

Stacking polymorphism of PtSe2: its implication to layer-dependent metal-insulator transitions

Jeonghwan Ahn, Iuegyun Hong, Gwangyoung Lee, Hyeondeok Shin, Anouar Benali, Yongkyung Kwon, Jaron T. Krogel

Abstract

Abstract Using diffusion Monte Carlo (DMC) and density functional theory (DFT) calculations, we examine the structural stability and interlayer binding properties of PtSe2. Our DMC study reveals that AA and AB-r bilayer stacking modes are nearly degenerate, highlighting the significant role of interlayer hybridization in offsetting the energy cost due to larger interlayer separations in the AB-r mode. Additionally, our DMC-benchmarked DFT calculations with the r2SCAN+rVV10 functional uncover pronounced stacking polymorphism in few-layer PtSe2, driven by degenerate AA and AB-r interfaces, which leads to substantial band gap variations across different stacking configurations. This polymorphism, along with selenium vacancies, influences a layer-dependent metal-insulator transition observed in few-layer PtSe2. Our findings emphasize the importance of both van der Waals interactions and interlayer hybridization in determining the phase stability and electronic properties of PtSe2, advancing our understanding of its fundamental properties and refining theoretical models for practical applications in nanoelectronic devices.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: 2D Materials and Applications · Machine Learning in Materials Science · Phase-change materials and chalcogenides

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

References (61)

Show source-provided references
1. Zhao, Y. et al. High-electron-mobility and air-stable 2D layered PtSe2 FETs. Adv. Mater. 29, 1604230 (2017).10.1002/adma.201604230 ↗
2. Yan, M. et al. High quality atomically thin PtSe2 films grown by molecular beam epitaxy. 2D Mater. 4, 045015 (2017).10.1088/2053-1583/aa8919 ↗
3. Ciarrocchi, A., Avsar, A., Ovchinnikov, D. & Kis, A. Thickness-modulated metal-to-semiconductor transformation in a transition metal dichalcogenide. Nat. Commun. 9, 919 (2018).10.1038/s41467-018-03436-0 ↗
4. Zhang, L. et al. Precise layer-dependent electronic structure of mbe-grown PtSe2. Adv. Electron. Mater. 7, 2100559 (2021).10.1002/aelm.202100559 ↗
5. Li, J. et al. Layer-dependent band gaps of platinum dichalcogenides. ACS Nano 15, 13249–13259 (2021).10.1021/acsnano.1c02971 ↗
6. Tharrault, M. et al. Raman spectroscopy of monolayer to bulk PtSe2 exfoliated crystals. 2D Mater. 11, 025011 (2024).10.1088/2053-1583/ad1e79 ↗
7. Tharrault, M. et al. The optical absorption in indirect semiconductor to semimetal PtSe2 arises from direct transitions. Phys. Rev. Lett. 134, 066901 (2025).10.1103/PhysRevLett.134.066901 ↗
8. Kempt, R. et al. Stacking polymorphism in PtSe2 drastically affects its electromechanical properties. Adv. Sci. 9, 2201272 (2022).10.1002/advs.202201272 ↗
9. Ansari, L. et al. Quantum confinement-induced semimetal-to-semiconductor evolution in large-area ultra-thin PtSe2 films grown at 400∘ C. npj 2D Mater. Appl. 3, 33 (2019).10.1038/s41699-019-0116-4 ↗
10. Jiang, W. et al. Large-area high-quality PtSe2 thin film with versatile polarity. InfoMat 1, 260–267 (2019).10.1002/inf2.12013 ↗
11. Chen, J. et al. Atomic structure of dislocations and grain boundaries in two-dimensional PtSe2. ACS nano 15, 16748–16759 (2021).10.1021/acsnano.1c06736 ↗
12. Zhang, W., Qin, J., Huang, Z. & Zhang, W. The mechanism of layer number and strain-dependent bandgap of 2D crystal PtSe2. J. Appl. Phys. 122, 20 (2017).10.1063/1.5000419 ↗
13. Kandemir, A. et al. Structural, electronic and phononic properties of PtSe2: from monolayer to bulk. Semicond. Sci. Technol. 33, 085002 (2018).10.1088/1361-6641/aacba2 ↗
14. Fang, L., Liang, W., Feng, Q. & Luo, S.-N. Structural engineering of bilayer PtSe2 thin films: a first-principles study. J. Phys. Condens. Matter 31, 455001 (2019).10.1088/1361-648X/ab34bc ↗
15. Shawkat, M. S. et al. Thickness-independent semiconducting-to-metallic conversion in wafer-scale two-dimensional PtSe2 layers by plasma-driven chalcogen defect engineering. ACS Appl. Mater. Interfaces 12, 14341–14351 (2020).10.1021/acsami.0c00116 ↗
16. Mostaani, E., Drummond, N. D. & Fal’Ko, V. I. Quantum Monte Carlo calculation of the binding energy of bilayer graphene. Phys. Rev. Lett. 115, 115501 (2015).10.1103/PhysRevLett.115.115501 ↗
17. Shulenburger, L., Baczewski, A. D., Zhu, Z., Guan, J. & Tomanek, D. The nature of the interlayer interaction in bulk and few-layer phosphorus. Nano Lett. 15, 8170–8175 (2015).10.1021/acs.nanolett.5b03615 ↗
18. Shin, H. et al. Nature of interlayer binding and stacking of sp-sp2 hybridized carbon layers: a quantum Monte Carlo study. J. Chem. Theory Comput. 13, 5639–5646 (2017).10.1021/acs.jctc.7b00747 ↗
19. Ahn, J. et al. Phase stability and interlayer interaction of blue phosphorene. Phys. Rev. B 98, 085429 (2018).10.1103/PhysRevB.98.085429 ↗
20. Ahn, J. et al. Energetic stability of free-standing and metal-supported borophenes: quantum Monte Carlo and density functional theory calculations. J. Phys. Chem. C. 124, 24420–24428 (2020).10.1021/acs.jpcc.0c06883 ↗
21. Ahn, J. et al. Adsorption of a single pt atom on graphene: spin crossing between physisorbed triplet and chemisorbed singlet states. Phys. Chem. Chem. Phys. 23, 22147–22154 (2021).10.1039/D1CP02473F ↗
22. Ahn, J. et al. Metastable metallic phase of a bilayer blue phosphorene induced by interlayer bonding and intralayer charge redistributions. J. Phys. Chem. Lett. 12, 10981–10986 (2021).10.1021/acs.jpclett.1c03045 ↗
23. Staros, D. et al. A combined first principles study of the structural, magnetic, and phonon properties of monolayer CrI3. J. Chem. Phys. 156, 014707 (2022).10.1063/5.0074848 ↗
24. Ahn, J. et al. Structural stability of graphene-supported Pt layers: diffusion Monte Carlo and density functional theory calculations. J. Phys. Chem. C. 127, 18630–18640 (2023).10.1021/acs.jpcc.3c03160 ↗
25. Wines, D., Tiihonen, J., Saritas, K., Krogel, J. T. & Ataca, C. A quantum Monte Carlo study of the structural, energetic, and magnetic properties of two-dimensional H and T phase VSe2. J. Phys. Chem. Lett. 14, 3553–3560 (2023).10.1021/acs.jpclett.3c00497 ↗
26. Wang, Y. et al. Monolayer PtSe2, a new semiconducting transition-metal-dichalcogenide, epitaxially grown by direct selenization of Pt. Nano Lett. 15, 4013–4018 (2015).10.1021/acs.nanolett.5b00964 ↗
27. O’Brien, M. et al. Raman characterization of platinum diselenide thin films. 2D Mater. 3, 021004 (2016).10.1088/2053-1583/3/2/021004 ↗
28. Lin, X. et al. Intrinsically patterned two-dimensional materials for selective adsorption of molecules and nanoclusters. Nat. Mater. 16, 717–721 (2017).10.1038/nmat4915 ↗
29. Tong, Y. et al. Phase transition and thermal stability of epitaxial PtSe2 nanolayer on Pt (111). RSC Adv. 10, 30934–30943 (2020).10.1039/D0RA04346J ↗
30. Wang, Z., Li, Q., Besenbacher, F. & Dong, M. Facile synthesis of single crystal ptse2 nanosheets for nanoscale electronics. Adv. Mater. 28, 10224–10229 (2016).10.1002/adma.201602889 ↗
31. Ryu, G. H., Chen, J., Wen, Y. & Warner, J. H. In-situ atomic-scale dynamics of thermally driven phase transition of 2D few-layered 1T PtSe2 into ultrathin 2D nonlayered ptse crystals. Chem. Mater. 31, 9895–9903 (2019).10.1021/acs.chemmater.9b04274 ↗
32. Xu, L. et al. Evolution of interlayer stacking orders and rotations in bilayer PtSe2 visualized by stem. 2D Mater. 8, 025014 (2021).10.1088/2053-1583/abd6b6 ↗
33. Chen, Y.-T. et al. Interlayer quasi-bonding interactions in 2D layered materials: a classification according to the occupancy of involved energy bands. J. Phys. Chem. Lett. 12, 11998–12004 (2021).10.1021/acs.jpclett.1c03332 ↗
34. Bian, Z., Miao, J., Zhao, Y. & Chai, Y. Strong interlayer interaction for engineering two-dimensional materials. Acc. Mater. Res. 3, 1220–1231 (2022).10.1021/accountsmr.2c00146 ↗
35. He, J., Hummer, K. & Franchini, C. Stacking effects on the electronic and optical properties of bilayer transition metal dichalcogenides MoS2, MoSe2,WS2, and WSe2. Phys. Rev. B 89, 075409 (2014).10.1103/PhysRevB.89.075409 ↗
36. Cortés, N., Rosales, L., Orellana, P. A., Ayuela, A. & González, J. W. Stacking change in MoS2 bilayers induced by interstitial Mo impurities. Sci. Rep. 8, 2143 (2018).10.1038/s41598-018-20289-1 ↗
37. Emrem, B., Kempt, R., Finzel, K. & Heine, T. London dispersion-corrected density functionals applied to van der waals stacked layered materials: validation of structure, energy, and electronic properties. Adv. Theory Simul. 5, 2200055 (2022).10.1002/adts.202200055 ↗
38. Hart, J. L. et al. Emergent layer stacking arrangements in c-axis confined MoTe2. Nat. Commun. 14, 4803 (2023).10.1038/s41467-023-40528-y ↗
39. Li, J. et al. Edge and point-defect induced electronic and magnetic properties in monolayer PtSe2. Adv. Funct. Mater. 32, 2110428 (2022).10.1002/adfm.202110428 ↗
40. Kim, J. et al. QMCPACK: an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids. J. Phys. Condens. Matter 30, 195901 (2018).10.1088/1361-648X/aab9c3 ↗
41. Kent, P. R. C. et al. QMCPACK: advances in the development, efficiency, and application of auxiliary field and real-space variational and diffusion quantum Monte Carlo. J. Chem. Phys. 152, 174105 (2020).10.1063/5.0004860 ↗
42. Giannozzi, P. et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter 21, 395502 (2009).10.1088/0953-8984/21/39/395502 ↗
43. Monkhorst, H. J. & Pack, J. D. Special points for Brillouin-zone integrations. Phys. Rev. B 13, 5188 (1976).10.1103/PhysRevB.13.5188 ↗
44. Burkatzki, M., Filippi, C. & Dolg, M. Energy-consistent pseudopotentials for quantum Monte Carlo calculations. J. Chem. Phys. 126, 234105 (2007).10.1063/1.2741534 ↗
45. Burkatzki, M., Filippi, C. & Dolg, M. Energy-consistent small-core pseudopotentials for 3d-transition metals adapted to quantum Monte Carlo calculations. J. Chem. Phys. 129, 164115 (2008).10.1063/1.2987872 ↗
46. Ahn, J., Kang, S.-H., Yoon, M. & Krogel, J. T. Exploring interlayer coupling in the twisted bilayer PtTe2. Phys. Rev. Lett. 6, 033177 (2024).10.1103/PhysRevResearch.6.033177 ↗
47. Lin, C., Zong, F. H. & Ceperley, D. M. Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms. Phys. Rev. E 64, 016702 (2001).10.1103/PhysRevE.64.016702 ↗
48. Umrigar, C. J., Toulouse, J., Filippi, C., Sorella, S. & Hennig, R. G. Alleviation of the fermion-sign problem by optimization of many-body wave functions. Phys. Rev. Lett. 98, 110201 (2007).10.1103/PhysRevLett.98.110201 ↗
49. Foulkes, W. M., Mitas, L., Needs, R. & Rajagopal, G. Quantum Monte Carlo simulations of solids. Rev. Mod. Phys. 73, 33 (2001).10.1103/RevModPhys.73.33 ↗
50. Kresse, G. & Hafner, J. Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47, 558–561 (1993).10.1103/PhysRevB.47.558 ↗
51. 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 ↗
52. Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).10.1103/PhysRevB.50.17953 ↗
53. Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758–1775 (1999).10.1103/PhysRevB.59.1758 ↗
54. Sun, J., Ruzsinszky, A. & Perdew, J. P. Strongly constrained and appropriately normed semilocal density functional. Phys. Rev. Lett. 115, 036402 (2015).10.1103/PhysRevLett.115.036402 ↗
55. Perdew, J. P. & Zunger, A. Self-interaction correction to density-functional approximations for many-electron systems. Phys. Rev. B 23, 5048 (1981).10.1103/PhysRevB.23.5048 ↗
56. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).10.1103/PhysRevLett.77.3865 ↗
57. Tkatchenko, A., DiStasio, R. A., Car, R. & Scheffler, M. Accurate and efficient method for many-body van der Waals interactions. Phys. Rev. Lett. 108, 236402 (2012).10.1103/PhysRevLett.108.236402 ↗
58. Klimeš, J., Bowler, D. R. & Michaelides, A. Chemical accuracy for the van der Waals density functional. J. Condens. Matter Phys. 22, 022201 (2009).10.1088/0953-8984/22/2/022201 ↗
59. Hamada, I. van der Waals density functional made accurate. Phys. Rev. B 89, 121103 (2014).10.1103/PhysRevB.89.121103 ↗
60. Peng, H., Yang, Z.-H., Perdew, J. P. & Sun, J. Versatile van der Waals density functional based on a meta-generalized gradient approximation. Phys. Rev. X 6, 041005 (2016).
61. Ning, J. et al. Workhorse minimally empirical dispersion-corrected density functional with tests for weakly bound systems: r2SCAN + rVV10. Phys. Rev. B 106, 075422 (2022).10.1103/PhysRevB.106.075422 ↗