- Letter
- Open Access
Engineering the optical absorption in S-hyperdoped Si from short wavelength to far infrared: A first-principles study
Phys. Rev. Materials 10, L051601 – Published 11 May, 2026
DOI: https://doi.org/10.1103/y5zw-qt7d
Abstract
By combining Density functional theory-based first-principles simulations with a random distribution model for estimating the relative percentage of distinct types of S complexes in S-hyperdoped silicon, we predict a tunability of the insulator-to-metal transition at the critical dopant concentration that is significantly larger than previously reported for other chalcogen-hyperdoped Si systems, driven by the relative abundance of the different complexes. By assuming the possibility to tune the latter during the sample synthesis, we predict that optical absorption spectra of S-hyperdoped Si can be engineered from the short wavelength infrared to far infrared region.
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Article Text
Supplemental Material
References (40)
- M. T. Winkler, D. Recht, M.-J. Sher, A. J. Said, E. Mazur, and M. J. Aziz, Insulator-to-metal transition in sulfur-doped silicon, Phys. Rev. Lett. 106, 178701 (2011).
- E. Ertekin, M. T. Winkler, D. Recht, A. J. Said, M. J. Aziz, T. Buonassisi, and J. C. Grossman, Insulator-to-metal transition in selenium-hyperdoped silicon: Observation and origin, Phys. Rev. Lett. 108, 026401 (2012).
- A. Luque, A. Marti, and C. Stanley, Understanding intermediate-band solar cells, Nat. Photon. 6, 146 (2012).
- Y. Okada, N. J. Ekins-Daukes, T. Kita, R. Tamaki, M. Yoshida, A. Pusch, O. Hess, C. C. Phillips, D. J. Farrell, K. Yoshida, N. Ahsan, Y. Shoji, T. Sogabe, and J. F. Guillemoles, Intermediate band solar cells: Recent progress and future directions, Appl. Phys. Rev. 2, 021302 (2015).
- S. Hu, P. Han, S. Wang, X. Mao, X. Li, and L. Gao, Improved photoresponse characteristics in Se-doped Si photodiodes fabricated using picosecond pulsed laser mixing, Semicond. Sci. Technol. 27, 102002 (2012).
- Y. Berencén, S. Prucnal, F. Liu, I. Skorupa, R. Huebner, L. Rebohle, S. Zhou, H. Schneider, M. Helm, and W. Skorupa, Room-temperature short-wavelength infrared Si photodetector, Sci. Rep. 7, 43688 (2017).
- M. Wang and Y. Berencén, Room-temperature infrared photoresponse from ion beam–hyperdoped silicon, Phys. Status Solidi A 218, 2000260 (2021).
- M. Wang, A. Debernardi, Y. Berencén, R. Heller, C. Xu, Y. Yuan, Y. Xie, R. Böttger, L. Rebohle, W. Skorupa, M. Helm, S. Prucnal, and S. Zhou, Breaking the doping limit in silicon by deep impurities, Phys. Rev. Appl. 11, 054039 (2019).
- M. Wang, A. Debernardi, W. Zhang, C. Xu, Y. Yuan, Y. Xie, Y. Berencén, S. Prucnal, M. Helm, and S. Zhou, Critical behavior of the insulator-to-metal transition in Te-hyperdoped Si, Phys. Rev. B 102, 085204 (2020).
- A. Debernardi, First principles simulations of microscopic mechanisms responsible for the drastic reduction of electrical deactivation defects in Se hyperdoped silicon, Phys. Chem. Chem. Phys. 23, 24699 (2021).
- A. Debernardi, Engineering the insulator-to-metal transition by tuning the population of dopant defects: First principles simulations of Se hyperdoped Si, Semicond. Sci. Technol. 38, 014002 (2023).
- I. Umezu, J. M. Warrender, S. Charnvanichborikarn, A. Kohno, J. S. Williams, M. Tabbal, D. G. Papazoglou, X.-C. Zhang, and M. J. Aziz, Emergence of very broad infrared absorption band by hyperdoping of silicon with chalcogens, J. Appl. Phys. 113, 213501 (2013).
- “In addition to point and line defects, there are defects which are composed of a small number of point defects. These are referred to as complexes,” as stated in Ref. [27].
- A. Debernardi, Microscopic mechanisms driving the removal of electrical deactivation defects in Se ultra-doped silicon: An ab initio study. presented at EMRS 2022 Spring Meeting (unpublished).
- M. Fanciulli et al. (private communication); Electron spin resonance characterization of silicon hyper-doped with Te125, presented at EMRS 2022 Spring Meeting (unpublished).
- M. Hoesch, O. Fedchenko, M. Wang, C. Schlueter, D. Potorochin, K. Medjanik, S. Babenkov, A. S. Ciobanu, A. Winkelmann, H.-J. Elmers, S. Zhou, M. Helm, and G. Schönhense, Active sites of Te-hyperdoped silicon by hard x-ray photoelectron spectroscopy, Appl. Phys. Lett. 122, 252108 (2023).
- H. Bracht, Self- and foreign-atom diffusion in semiconductor isotope heterostructures. I. Continuum theoretical calculations, Phys. Rev. B 75, 035210 (2007).
- F. Rollert, N. A. Stolwijk, and H. Mehrer, Diffusion of sulfur-35 into silicon using an elemental vapor source, Appl. Phys. Lett. 63, 506 (1993).
- Y. Mo, M. Z. Bazant, and E. Kaxiras, Sulfur point defects in crystalline and amorphous silicon, Phys. Rev. B 70, 205210 (2004).
- The model can be trivially generalized to account for partial diffusion in the shell, by substituting in with a lesser value.
- D. C. Mueller and W. Fichtner, Highly -doped silicon: Deactivating defects of donors, Phys. Rev. B 70, 245207 (2004).
- This is Shorthand notation, analogous to the one used in the literature for As complexes, to denote the complex ().
- See Supplemental Material at https://link.aps.org/supplemental/10.1103/y5zw-qt7d for additional computational details, the statistical model for sulfur-related complexes, the phenomenological estimate of the critical concentration, and extended infrared absorption spectra, which includes Refs. [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39].
- The concentration at which the formation energy becomes almost constant, generally corresponds to the merging of the IB into the CB, denoted as . The exception is the monomer , whose formation energy becomes flat at concentration below .
- See Sec. B of the Supplemental Material [23].
- This effect can be explained, at least partially, by the fact that S has a smaller covalent radius and a deeper impurity band in the band gap of Si than the other chalcogens.
- P. Y. Yu and M. Cardona, Fundamentals of Semiconductors (Springer, Berlin, 2005).
- L. Cai, S. Wang, M. Huang, Y.-N. Wu, and S. Chen, First-principles identification of deep energy levels of sulfur impurities in silicon and their carrier capture cross sections, J. Phys. D 54, 335103 (2021).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, et al., QUANTUM ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- A. M. Rappe, K. M. Rabe, E. Kaxiras, and J. D. Joannopoulos, Optimized pseudopotentials, Phys. Rev. B 41, 1227 (1990).
- D. Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, Phys. Rev. B 41, 7892 (1990).
- D. M. Bylander and L. Kleinman, Optimized effective potentials for semiconductors, Phys. Rev. B 52, 14566 (1995).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
- C. G. Broyden, The convergence of a class of double-rank minimization algorithms 1. general considerations, IMA J. Appl. Math. 6, 76 (1970).
- A. Marini, C. Hogan, M. Grüning, and D. Varsano, Yambo: An ab initio tool for excited state calculations, Comput. Phys. Commun. 180, 1392 (2009).
- F. Melone, First principles simulations of electronic and optical properties of S hyperdoped silicon, Master's thesis, University of Milano, 2024.
- J. Byrnes, Unexploded Ordnance Detection and Mitigation (Springer, Berlin, 2009).
- R. Paschotta, Infrared light, RP Photonics Encyclopedia, 2021, archived version retrieved 1 August 2021, https://www.rp-photonics.com/infrared_light.html.
- M. J. van Setten, M. Giantomassi, E. Bousquet, M. J. Verstraete, D. R. Hamann, X. Gonze, and G.-M. Rignanese, The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table, Comput. Phys. Commun. 226, 39 (2018).