- Open Access
Ion track formation via electric-field-enhanced energy deposition
Phys. Rev. Research 8, 023013 – Published 6 April, 2026
DOI: https://doi.org/10.1103/gzzl-dxs9
Abstract
High-energy ion irradiation deposits extreme energy in a narrow range (∼1–10 nm) along ion trajectories in solid through electronic energy loss, producing unique irradiation effects such as ion tracks. However, intrinsic velocity effects impose an upper limit on electronic energy loss that cannot be overcome by adjusting irradiation parameters. We introduce a method using electric fields during irradiation to enhance nanoscale energy deposition by accelerating ion-excited electrons within subpicosecond timescales. Our extended field-enhanced thermal spike model quantitatively describes this enhancement and predicts a significant reduction in the electronic energy loss required for ion track formation in amorphous , which is in excellent agreement with experimental observations. This work provides an approach to control energy deposition during irradiation and boosts the wide application of ion tracks in material modification and nanoengineering to much broader extents.
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References (40)
- M. Nastasi, J. W. Mayer, and J. K. Hirvonen, Ion-Solid Interactions: Fundamentals and Applications (Cambridge University Press, Cambridge, 1996).
- P. Kluth, C. S. Schnohr, O. H. Pakarinen, F. Djurabekova, D. J. Sprouster, R. Giulian, M. C. Ridgway, A. P. Byrne, C. Trautmann, D. J. Cookson, K. Nordlund, and M. Toulemonde, Fine structure in swift heavy ion tracks in amorphous , Phys. Rev. Lett. 101, 175503 (2008).
- A. Hedler, S. L. Klaumunzer, and W. Wesch, Amorphous silicon exhibits a glass transition, Nat. Mater. 3, 804 (2004).
- Y. Zhang, R. Sachan, O. H. Pakarinen, M. F. Chisholm, P. Liu, H. Xue, and W. J. Weber, Ionization-induced annealing of pre-existing defects in silicon carbide, Nat. Commun. 6, 8049 (2015).
- A. Singh and D. B. Mitzi, Emergence of melt and glass states of halide perovskite semiconductors, Nat. Rev. Mater. 10, 211 (2025).
- D. A. Young, Etching of radiation damage in lithium fluoride, Nature (London) 182, 375 (1958).
- M. C. Ridgway, T. Bierschenk, R. Giulian, B. Afra, M. D. Rodriguez, L. L. Araujo, A. P. Byrne, N. Kirby, O. H. Pakarinen, F. Djurabekova, K. Nordlund, M. Schleberger, O. Osmani, N. Medvedev, B. Rethfeld, and P. Kluth, Tracks and voids in amorphous Ge induced by swift heavy-ion irradiation, Phys. Rev. Lett. 110, 245502 (2013).
- J. R. Tesmer and M. Nastasi, Handbook of Modern Ion Beam Materials Analysis (Materials Research Society, Pittsburgh, PA, 1995).
- G. A. Wagner and P. van den Haute, Fission-Track Dating (Kluwer, Dordrecht, 1992).
- L. Xue, H. Yamazaki, R. Ren, M. Wanunu, A. P. Ivanov, and J. B. Edel, Solid-state nanopore sensors, Nat. Rev. Mater. 5, 931 (2020).
- R. Hu, R. Zhu, G. Wei, Z. Wang, Z. Y. Gu, M. Wanunu, and Q. Zhao, Solid-state quad-nanopore array for high-resolution single-molecule analysis and discrimination, Adv. Mater. 35, e2211399 (2023).
- S. Su, Y. Zhang, S. Peng, L. Guo, Y. Liu, E. Fu, H. Yao, J. Du, G. Du, and J. Xue, Multifunctional graphene heterogeneous nanochannel with voltage-tunable ion selectivity, Nat. Commun. 13, 4894 (2022).
- W. Liu, J. Andersson, J. Jarlebark, A. Shaji, J. Sha, and A. Dahlin, The electric field in solid state nanopores causes dissociation of strong biomolecular interactions, Nano Lett. 25, 9654 (2025).
- R. M. Papaléo, R. Thomaz, L. I. Gutierres, V. M. de Menezes, D. Severin, C. Trautmann, D. Tramontina, E. M. Bringa, and P. L. Grande, Confinement effects of ion tracks in ultrathin polymer films, Phys. Rev. Lett. 114, 118302 (2015).
- W. Assmann, M. Toulemonde, and C. Trautmann, Electronic sputtering with swift heavy ions, in Sputtering by Particle Bombardment: Experiments and Computer Calculations from Threshold to MeV Energies, edited by R. Behrisch and W. Eckstein (Springer, Berlin, Heidelberg, 2007), pp. 401–450.
- H. Amekura, A. Chettah, K. Narumi, A. Chiba, Y. Hirano, K. Yamada, S. Yamamoto, A. A. Leino, F. Djurabekova, K. Nordlund, N. Ishikawa, N. Okubo, and Y. Saitoh, Latent ion tracks were finally observed in diamond, Nat. Commun. 15, 1786 (2024).
- H. Amekura, M. Toulemonde, K. Narumi, R. Li, A. Chiba, Y. Hirano, K. Yamada, S. Yamamoto, N. Ishikawa, N. Okubo, and Y. Saitoh, Ion tracks in silicon formed by much lower energy deposition than the track formation threshold, Sci. Rep. 11, 185 (2021).
- J. Hanzek, S. Fazinic, S. Kumar, and M. Karlusic, Threshold for ionization-induced defect annealing in silicon carbide, Radiat. Phys. Chem. 215, 111362 (2024).
- M. E. Toimil-Molares, Characterization and properties of micro- and nanowires of controlled size, composition, and geometry fabricated by electrodeposition and ion-track technology, Beilstein J. Nanotechnol. 3, 860 (2012).
- R. Thomaz, P. Louette, G. Hoff, S. Muller, J. J. Pireaux, C. Trautmann, and R. M. Papaleo, Bond-breaking efficiency of high-energy ions in ultrathin polymer films, Phys. Rev. Lett. 121, 066101 (2018).
- N. Itoh, D. M. Duffy, S. Khakshouri, and A. M. Stoneham, Making tracks: Electronic excitation roles in forming swift heavy ion tracks, J. Phys.: Condens. Matter 21, 474205 (2009).
- R. G. Elliman and J. S. Williams, Advances in ion beam modification of semiconductors, Curr. Opin. Solid State Mater. Sci. 19, 49 (2015).
- J. Zhang, M. Lang, R. C. Ewing, R. Devanathan, W. J. Weber, and M. Toulemonde, Nanoscale phase transitions under extreme conditions within an ion track, J. Mater. Res. 25, 1344 (2011).
- M. Toulemonde, W. Assmann, C. Dufour, A. Meftah, and C. Trautmann, Nanometric transformation of the matter by short and intense electronic excitation: Experimental data versus inelastic thermal spike model, Nucl. Instrum. Methods Phys. Res. Sect. B 277, 28 (2012).
- S. Klaumunzer, Ion tracks in quartz and vitreous silica, Nucl. Instrum. Methods Phys. Res. Sect. B 225, 136 (2004).
- J. Jensen, A. Razpet, M. Skupiński, and G. Possnert, Ion track formation below 1 MeV/u in thin films of amorphous , Nucl. Instrum. Methods Phys. Res. Sect. B 243, 119 (2006).
- J. Jensen, A. Razpet, M. Skupiński, and G. Possnert, Ion tracks in amorphous irradiated with low and high energy heavy ions, Nucl. Instrum. Methods Phys. Res. Sect. B 245, 269 (2006).
- A. Dallanora, T. L. Marcondes, G. G. Bermudez, P. F. P. Fichtner, C. Trautmann, M. Toulemonde, and R. M. Papaleo, Nanoporous /Si thin layers produced by ion track etching: Dependence on the ion energy and criterion for etchability, J. Appl. Phys. 104, 024307 (2008).
- L. A. Vlasukova, F. F. Komarov, V. N. Yuvchenko, W. Wesch, E. Wendler, A. Y. Didyk, V. A. Skuratov, and S. B. Kislitsin, Threshold and criterion for ion track etching in layers grown on Si, Vacuum 105, 107 (2014).
- J. P. Biersack, J. F. Ziegler, and U. Littmark, The Stopping and Range of Ions in Matter (Pergamon Press, New York, 1985).
- V. E. Cosslett, Scanning standard, Nature (London) 323, 212 (1986).
- M. Toulemonde, J. M. Costantini, C. Dufour, A. Meftah, E. Paumier, and F. Studer, Track creation in and by swift heavy ions: A thermal spike description, Nucl. Instrum. Methods Phys. Res. Sect. B 116, 37 (1996).
- M. Toulemonde, C. Dufour, A. Meftah, and E. Paumier, Transient thermal processes in heavy ion irradiation of crystalline inorganic insulators, Nucl. Instrum. Methods Phys. Res. Sect. B 166, 903 (2000).
- G. Szenes, Comparison of two thermal spike models for ion–solid interaction, Nucl. Instrum. Methods Phys. Res. Sect. B 269, 174 (2011).
- G. Szenes, Amorphous tracks in insulators induced by monoatomic and cluster ions, Phys. Rev. B 60, 3140 (1999).
- G. Szenes, Temperature distribution in a swift ion-induced spike: An experimental approach, Radiat. Eff. Defects Solids 162, 557 (2007).
- R. C. Alig and S. Bloom, Electron-hole-pair creation energies in semiconductors, Phys. Rev. Lett. 35, 1522 (1975).
- J. Robertson, Band offsets of wide-band-gap oxides and implications for future electronic devices, J. Vacuum Sci. Technol. B 18, 1785 (2000).
- P. Audebert, P. Daguzan, A. Dos Santos, J. C. Gauthier, J. P. Geindre, S. Guizard, G. Hamoniaux, K. Krastev, P. Martin, G. Petite, and A. Antonetti, Space-time observation of an electron gas in , Phys. Rev. Lett. 73, 1990 (1994).
- M. E. Toimil-Molares, L. Röntzsch, W. Sigle, K. H. Heinig, C. Trautmann, and R. Neumann, Pipetting nanowires: In situ visualization of solid-state nanowire-to-nanoparticle transformation driven by surface diffusion-mediated capillarity, Adv. Funct. Mater. 22, 695 (2011).