Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Advertisement

npj 2D Materials and Applications
  • View all journals
  • Search
  • My Account Login
  • Content Explore content
  • About the journal
  • Publish with us
  • Sign up for alerts
  • RSS feed
  1. nature
  2. npj 2d materials and applications
  3. articles
  4. article
Thickness-modulated crystal structure and band gap of 2D SnSe deposited by molecular beam epitaxy
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 27 January 2026

Thickness-modulated crystal structure and band gap of 2D SnSe deposited by molecular beam epitaxy

  • Marshall B. Frye1,
  • Jonathan R. Chin1,
  • Walter J. Smith2,
  • Stephen Daniel Funni3,
  • Joshua D. Wahl1,
  • Anaranya Ghorai1,
  • Charles Paillard4,
  • Anna M. Österholm5,
  • Judy J. Cha3,
  • Thomas E. Beechem2 &
  • …
  • Lauren M. Garten1 

npj 2D Materials and Applications , Article number:  (2026) Cite this article

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Materials science
  • Nanoscience and technology
  • Physics

Abstract

Realizing the potential for 2D SnSe optoelectronics requires understanding the thickness dependence of structure, defects, and optical properties. We investigate the thickness-dependent crystal structure, band gap, and carrier lifetime of SnSe films deposited by molecular beam epitaxy (MBE) on (100) MgO. MBE enables stoichiometric (2h00)-oriented SnSe films with tunable thicknesses from 80 nm down to 4 nm. As thickness decreases, out-of-plane covalent bonds contract, while in-plane bonding and the van der Waals gap expand with a concurrent increase in stacking fault density, consistent with theoretical predictions of reduced stacking fault energies. Below 8 nm, the band gap transitions from indirect to direct, increasing from 1.4 eV to 1.8 eV, primarily driven by a combination of structural changes and confinement effects. Our results demonstrate how the thickness and structural distortion of 2D materials can be used to modulate the optical properties relevant to optoelectronics.

Similar content being viewed by others

Strain-induced two-dimensional topological crystalline insulator in bilayer SnTe

Article Open access 21 January 2026

Mixed polytype/polymorph formation in InSe films grown by molecular beam epitaxy on GaAs(111)B

Article Open access 24 February 2025

Tailoring MBE growth of c-Mn3Sn directly on MgO (111) from islands to film

Article Open access 24 April 2025

Data availability

The data that support the plots and findings of this manuscript are available from the corresponding author upon reasonable request.

References

  1. Lin, Y.-C. et al. Recent advances in 2D material theory, synthesis, properties, and applications. ACS Nano 17, 9694–9747 (2023).

    Google Scholar 

  2. Cui, C., Xue, F., Hu, W.-J. & Li, L.-J. Two-dimensional materials with piezoelectric and ferroelectric functionalities. npj 2D Mater. Appl. 2, 18 (2018).

    Google Scholar 

  3. Fei, R., Kang, W. & Yang, L. Ferroelectricity and phase transitions in monolayer group-IV monochalcogenides. Phys. Rev. Lett. 117, 097601 (2016).

    Google Scholar 

  4. Haleoot, R. et al. Photostrictive two-dimensional materials in the monochalcogenide family. Phys. Rev. Lett. 118, 227401 (2017).

    Google Scholar 

  5. Fei, R., Li, W., Li, J. & Yang, L. Giant piezoelectricity of monolayer group IV monochalcogenides: SnSe, SnS, GeSe, and GeS. Appl. Phys. Lett. 107, 173104 (2015).

    Google Scholar 

  6. Hu, Z. et al. Recent progress in 2D group IV–IV monochalcogenides: synthesis, properties, and applications. Nanotechnology 30, 252001 (2019).

    Google Scholar 

  7. Qin, B. et al. High thermoelectric efficiency realized in SnSe crystals via structural modulation. Nat. Commun. 14, 1366 (2023).

    Google Scholar 

  8. Huang, Y., Li, L., Lin, Y.-H. & Nan, C.-W. Liquid exfoliation few-layer SnSe nanosheets with tunable band gap. J. Phys. Chem. C 121, 17530–17537 (2017).

    Google Scholar 

  9. Zhao, L.-D. et al. Ultralow thermal conductivity and high thermoelectric figure of merit in SnSe crystals. Nature 508, 373–377 (2014).

    Google Scholar 

  10. Li, H. et al. From bulk to monolayer MoS2: evolution of Raman scattering. Adv. Funct. Mater. 22, 1385–1390 (2012).

    Google Scholar 

  11. Park, M., Choi, J. S., Yang, L. & Lee, H. Raman spectra shift of few-layer IV-VI 2D materials. Sci. Rep. 9, 19826 (2019).

    Google Scholar 

  12. Inoue, T., Hiramatsu, H., Hosono, H. & Kamiya, T. Heteroepitaxial growth of SnSe films by pulsed laser deposition using Se-rich targets. J. Appl. Phys. 118, 205302 (2015).

    Google Scholar 

  13. Li, Z. et al. Effect of film thickness and evaporation rate on co-evaporated SnSe thin films for photovoltaic applications. RSC Adv. 10, 16749–16755 (2020).

    Google Scholar 

  14. Ronneberger, I., Zanolli, Z., Wuttig, M. & Mazzarello, R. Changes of structure and bonding with thickness in chalcogenide thin films. Adv. Mater. 32, 2001033 (2020).

    Google Scholar 

  15. Zhang, L.-C. et al. Tinselenidene: a two-dimensional auxetic material with ultralow lattice thermal conductivity and ultrahigh hole mobility. Sci. Rep. 6, 19830 (2016).

    Google Scholar 

  16. Hlushchenko, D. et al. Stability of mechanically exfoliated layered monochalcogenides under ambient conditions. Sci. Rep. 13, 19114 (2023).

    Google Scholar 

  17. Chin, J. R. et al. Self-limiting stoichiometry in SnSe thin films. Nanoscale 15, 9973–9984 (2023).

    Google Scholar 

  18. Mortelmans, W. et al. Measuring and then eliminating twin domains in SnSe thin films using fast optical metrology and molecular beam epitaxy. ACS Nano 16, 9472–9478 (2022).

    Google Scholar 

  19. Miller, A. M. et al. Extracting information from X-ray diffraction patterns containing Laue oscillations. Z. Für Naturforschung B 77, 313–322 (2022).

    Google Scholar 

  20. Grier, D. & McCarthy, G. North Dakota State University, Fargo, North Dakota, USA, ICDD Grant-in-Aid 1991. Powder Diffr. File Int. Cent. Diffr. Data (1994).

  21. Chin, J. R. et al. Determining the oxidation stability of SnSe under atmospheric exposure. MRS Commun. https://doi.org/10.1557/s43579-024-00630-8 (2024).

  22. Zhou, W., Liu, Y., Yang, Y. & Wu, P. Band gap engineering of SnO2 by epitaxial strain: experimental and theoretical investigations. J. Phys. Chem. C 118, 6448–6453 (2014).

    Google Scholar 

  23. Badrinarayanan, S., Mandale, A. B., Gunjikar, V. G. & Sinha, A. P. B. Mechanism of high-temperature oxidation of tin selenide. J. Mater. Sci. 21, 3333–3338 (1986).

    Google Scholar 

  24. Hellgren, N. et al. Effect of etching on the oxidation of zinc selenide surfaces characterized by X-ray photoelectron spectroscopy. Appl. Surf. Sci. 528, 146604 (2020).

    Google Scholar 

  25. Canava, B., Vigneron, J., Etcheberry, A., Guillemoles, J. F. & Lincot, D. High resolution XPS studies of Se chemistry of a Cu(In, Ga)Se2 surface. Appl. Surf. Sci. 202, 8–14 (2002).

    Google Scholar 

  26. Chiu, M.-H. et al. Growth of large-sized 2D ultrathin SnSe crystals with in-plane ferroelectricity. Adv. Electron. Mater. 9, 2201031 (2023).

    Google Scholar 

  27. Sun, F. et al. Effects of biaxial strain and local constant potential on electronic structure of monolayer SnSe. Phys. B Condens. Matter 618, 413177 (2021).

    Google Scholar 

  28. Paterson, M. S. X-ray diffraction by face-centered cubic crystals with deformation faults. J. Appl. Phys. 23, 805–811 (1952).

    Google Scholar 

  29. Warren, B. E. X-ray studies of deformed metals. Prog. Met. Phys. 8, 147–202 (1959).

    Google Scholar 

  30. Ungár, T. Dislocation densities, arrangements and character from X-ray diffraction experiments. Mater. Sci. Eng. A 309–310, 14–22 (2001).

    Google Scholar 

  31. Toyoki, K., Kitaguchi, D., Shiratsuchi, Y. & Nakatani, R. Influence of long- and short-range chemical order on spontaneous magnetization in single-crystalline Fe0.6Al0.4 compound thin films. J. Phys. Condens. Matter 36, 135805 (2023).

    Google Scholar 

  32. Pan, W. et al. Biaxial compressive strain engineering in graphene/boron nitride heterostructures. Sci. Rep. 2, 893 (2012).

    Google Scholar 

  33. Xu, X. et al. In-plane anisotropies of polarized raman response and electrical conductivity in layered tin selenide. ACS Appl. Mater. Interfaces 9, 12601–12607 (2017).

    Google Scholar 

  34. Ferrari, A. C. et al. Raman spectrum of graphene and graphene layers. Phys. Rev. Lett. 97, 187401 (2006).

    Google Scholar 

  35. Yang, J.-H. & Gong, X.-G. Stacking induced indirect-to-direct bandgap transition in layered group-IV monochalcogenides for ideal optoelectronics. J. Mater. Chem. C 7, 11858–11867 (2019).

    Google Scholar 

  36. Lefebvre, I., Szymanski, M. A., Olivier-Fourcade, J. & Jumas, J. C. Electronic structure of tin monochalcogenides from SnO to SnTe. Phys. Rev. B 58, 1896–1906 (1998).

    Google Scholar 

  37. Mak, K. F. Atomically thin MoS2: a new direct-gap semiconductor. Phys. Rev. Lett. 105, 136805 (2010).

  38. Ben Aziza, Z. Valence band inversion and spin-orbit effects in the electronic structure of monolayer GaSe. Phys. Rev. B 98, 115405 (2018).

  39. Jo, M. et al. Indirect-to-direct bandgap crossover and room-temperature valley polarization of multilayer MoS2 achieved by electrochemical intercalation. Adv. Mater. 36, 2407997 (2024).

    Google Scholar 

  40. Ben Aziza, Z. et al. Tunable quasiparticle band gap in few-layer GaSe/graphene van der Waals heterostructures. Phys. Rev. B 96, 035407 (2017).

    Google Scholar 

  41. Singh, B. K., Menon, V. J. & Sood, K. C. Phonon conductivity of plastically deformed crystals: role of stacking faults and dislocations. Phys. Rev. B 74, 184302 (2006).

    Google Scholar 

  42. Li, J. et al. Stacking fault-induced minimized lattice thermal conductivity in the high-performance gete-based thermoelectric materials upon Bi2 Te3 alloying. ACS Appl. Mater. Interfaces 11, 20064–20072 (2019).

    Google Scholar 

  43. Manzeli, S., Allain, A., Ghadimi, A. & Kis, A. Piezoresistivity and strain-induced band gap tuning in atomically thin MoS2. Nano Lett. 15, 5330–5335 (2015).

    Google Scholar 

  44. Zhang, F. et al. Quantum confinement-induced enhanced nonlinearity and carrier lifetime modulation in two-dimensional tin sulfide. Nanophotonics 9, 1963–1972 (2020).

    Google Scholar 

  45. Péan, E. V., Dimitrov, S., De Castro, C. S. & Davies, M. L. Interpreting time-resolved photoluminescence of perovskite materials. Phys. Chem. Chem. Phys. 22, 28345–28358 (2020).

    Google Scholar 

  46. Yang, Y. & Lin, Q. Chalcogenide semiconductors: charge carrier dynamics and optoelectronic applications. Chem. Commun. 61, 11732–11745 (2025).

    Google Scholar 

  47. Mangaiyarkkarasi, J., Sasikumar, S., Meenakumari, V. & Revathy, J. S. A multidimensional approach to understanding wide band gap MgO: structural, morphological, optical, and electron density insights. MRS Adv. 9, 870–875 (2024).

    Google Scholar 

  48. Grey, L. H., Nie, H.-Y. & Biesinger, M. C. Defining the nature of adventitious carbon and improving its merit as a charge correction reference for XPS. Appl. Surf. Sci. 653, 159319 (2024).

    Google Scholar 

  49. Sasaki, S., Fujino, K. & Takéuchi, Y. X-ray determination of electron-density distributions in oxides, MgO, MnO, CoO, and NiO, and atomic scattering factors of their constituent atoms. Proc. Jpn. Acad. Ser. B 55, 43–48 (1979).

    Google Scholar 

  50. LeBeau, J. M., Findlay, S. D., Allen, L. J. & Stemmer, S. Position averaged convergent beam electron diffraction: theory and applications. Ultramicroscopy 110, 118–125 (2010).

    Google Scholar 

  51. Ophus, C., Ciston, J. & Nelson, C. T. Correcting nonlinear drift distortion of scanning probe and scanning transmission electron microscopies from image pairs with orthogonal scan directions. Ultramicroscopy 162, 1–9 (2016).

    Google Scholar 

  52. Funni, S. D. et al. Theory and application of the vector pair correlation function for real-space crystallographic analysis of order/disorder correlations from STEM images. APL Mater 9, 091110 (2021).

    Google Scholar 

  53. Windisch, D. & Becker, P. Silicon lattice parameters as an absolute scale of length for high precision measurements of fundamental constants. Phys. Status Solidi A 118, 379–388 (1990).

    Google Scholar 

  54. Peña, F. de la et al. hyperspy/exspy: v0.3.2. Zenodo https://doi.org/10.5281/zenodo.14957070 (2025).

  55. Amorphous and Liquid Semiconductors https://doi.org/10.1007/978-1-4615-8705-7 (Springer, 1974).

  56. Kresse, G. & Hafner, J. Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium. Phys. Rev. B 49, 14251–14269 (1994).

    Google Scholar 

  57. Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).

    Google Scholar 

  58. Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758–1775 (1999).

    Google Scholar 

  59. Sun, J., Ruzsinszky, A. & Perdew, J. P. Strongly constrained and appropriately normed semilocal density functional. Phys. Rev. Lett. 115, 036402 (2015).

    Google Scholar 

  60. Sabatini, R., Gorni, T. & de Gironcoli, S. Nonlocal van der Waals density functional made simple and efficient. Phys. Rev. B 87, 041108 (2013).

    Google Scholar 

  61. Barrios-Salgado, E., Nair, M. T. S. & Nair, P. K. Chemically deposited snse thin films: thermal stability and solar cell application. ECS J. Solid State Sci. Technol. 3, Q169 (2014).

    Google Scholar 

  62. Franzman, M. A., Schlenker, C. W., Thompson, M. E. & Brutchey, R. L. Solution-phase synthesis of snse nanocrystals for use in solar cells. J. Am. Chem. Soc. 132, 4060–4061 (2010).

    Google Scholar 

Download references

Acknowledgements

The authors acknowledge support from the Air Force Office of Scientific Research under award no. FA9550-24-1-0263. L.M.G. acknowledges the Air Force Office of Scientific Research (AFOSR) Young Investigator Award under Grant No. FA9550-22-1-0237. This work was performed in part at the Georgia Tech Institute for Electronics and Nanotechnology (IEN) under the SEED Grant support. The IEN is a member of the National Nanotechnology Coordinated Infrastructure (NNCI), which is supported by the National Science Foundation (Grant ECCS-1542174). J.R.C. acknowledges the support of the National Science Foundation (NSF) Graduate Research Fellowship Program under Grant No. DGE-2039655. The STEM characterization by J.J.C. and S.D.F. was supported by the Department of Energy (DOE) Basic Energy Sciences (BES) DE-SC0023905. The work presented has been facilitated by the Materials Innovation Platform of The Pennsylvania State University, the Two-Dimensional Crystal Consortium (2DCC-MIP), supported by NSF through cooperative agreements no. DMR-1539916 and DMR-2039351. C.P. acknowledges support from the Arkansas High Performance Computing Center, which is funded through multiple National Science Foundation grants and the Arkansas Economic Development Commission.

Author information

Authors and Affiliations

  1. School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Marshall B. Frye, Jonathan R. Chin, Joshua D. Wahl, Anaranya Ghorai & Lauren M. Garten

  2. Birck Nanotechnology Center and School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA

    Walter J. Smith & Thomas E. Beechem

  3. Department of Materials Science and Engineering, Cornell University, Ithaca, NY, USA

    Stephen Daniel Funni & Judy J. Cha

  4. Smart Ferroic Materials Center, Institute for Nanoscience & Engineering and Department of Physics, University of Arkansas, Fayetteville, AR, USA

    Charles Paillard

  5. School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, GA, USA

    Anna M. Österholm

Authors
  1. Marshall B. Frye
    View author publications

    Search author on:PubMed Google Scholar

  2. Jonathan R. Chin
    View author publications

    Search author on:PubMed Google Scholar

  3. Walter J. Smith
    View author publications

    Search author on:PubMed Google Scholar

  4. Stephen Daniel Funni
    View author publications

    Search author on:PubMed Google Scholar

  5. Joshua D. Wahl
    View author publications

    Search author on:PubMed Google Scholar

  6. Anaranya Ghorai
    View author publications

    Search author on:PubMed Google Scholar

  7. Charles Paillard
    View author publications

    Search author on:PubMed Google Scholar

  8. Anna M. Österholm
    View author publications

    Search author on:PubMed Google Scholar

  9. Judy J. Cha
    View author publications

    Search author on:PubMed Google Scholar

  10. Thomas E. Beechem
    View author publications

    Search author on:PubMed Google Scholar

  11. Lauren M. Garten
    View author publications

    Search author on:PubMed Google Scholar

Contributions

M.B.F., L.M.G., and A.M.O. wrote the main manuscript text. M.B.F. prepared the figures and led the analysis and characterization. M.B.F. and A.G. led the characterization, analysis, and discussion of the optical properties, and M.B.F., J.R.C., and J.W. led the deposition of the films used in this study. S.D.F. prepared cross-sectional STEM samples using focused ion beam milling and characterized the atomic structures using STEM under the supervision of J.J.C. W.J.S. measured the Raman spectra and time-resolved photoluminescence under the supervision of T.B. L.M.G. developed the idea and led the study. C.P. performed all computational results in this study. All authors reviewed the manuscript.

Corresponding author

Correspondence to Lauren M. Garten.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

SnSe-thickness-dependence-Revised-Supp.Mat.-NPJ2DMaA.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Frye, M.B., Chin, J.R., Smith, W.J. et al. Thickness-modulated crystal structure and band gap of 2D SnSe deposited by molecular beam epitaxy. npj 2D Mater Appl (2026). https://doi.org/10.1038/s41699-025-00655-0

Download citation

  • Received: 26 August 2025

  • Accepted: 18 December 2025

  • Published: 27 January 2026

  • DOI: https://doi.org/10.1038/s41699-025-00655-0

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Download PDF

Associated content

Collection

Defect Characterization and Control in 2D Materials and Devices

Advertisement

Explore content

  • Research articles
  • Reviews & Analysis
  • News & Comment
  • Collections
  • Follow us on Twitter
  • Sign up for alerts
  • RSS feed

About the journal

  • Aims & Scope
  • Content types
  • Journal Information
  • About the Editor
  • Open Access
  • Contact
  • Calls for Papers
  • Article Processing Charges
  • Editorial policies
  • Journal Metrics
  • About the Partner

Publish with us

  • For Authors and Referees
  • Language editing services
  • Open access funding
  • Submit manuscript

Search

Advanced search

Quick links

  • Explore articles by subject
  • Find a job
  • Guide to authors
  • Editorial policies

npj 2D Materials and Applications (npj 2D Mater Appl)

ISSN 2397-7132 (online)

nature.com sitemap

About Nature Portfolio

  • About us
  • Press releases
  • Press office
  • Contact us

Discover content

  • Journals A-Z
  • Articles by subject
  • protocols.io
  • Nature Index

Publishing policies

  • Nature portfolio policies
  • Open access

Author & Researcher services

  • Reprints & permissions
  • Research data
  • Language editing
  • Scientific editing
  • Nature Masterclasses
  • Research Solutions

Libraries & institutions

  • Librarian service & tools
  • Librarian portal
  • Open research
  • Recommend to library

Advertising & partnerships

  • Advertising
  • Partnerships & Services
  • Media kits
  • Branded content

Professional development

  • Nature Awards
  • Nature Careers
  • Nature Conferences

Regional websites

  • Nature Africa
  • Nature China
  • Nature India
  • Nature Japan
  • Nature Middle East
  • Privacy Policy
  • Use of cookies
  • Legal notice
  • Accessibility statement
  • Terms & Conditions
  • Your US state privacy rights
Springer Nature

© 2026 Springer Nature Limited

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing