Abstract
In this work, we study the electronic properties of mono- and multilayer titanium disulfide (TiS2) with the aid of first-principles calculations based on density functional theory. We find that the band gap can slightly be tuned as a function of the number (N) of stacked layers, ranging from 0.49 eV in the monolayer down to 0.40 eV in the bulk form—as a result of quantum confinement and the formation of sub-bands. However, the introduction of external agents such as biaxial strain and electric fields can significantly change the electronic properties of the system and induce strong gap modifications. Compressive strains and electrical fields are found to reduce the indirect band gap and induce a semiconductor to semimetal transition beyond a critical value, which is a decreasing function of N. In contrast, under tensile strains, the gap increases up to a maximum value and can reach about 0.90 eV under a 5% strain. Furthermore, we also report the optical properties of these systems, which display strong absorption peaks in both visible and UV regions of the spectrum, thus making the most of incident solar light. These properties also display a good tunability, as the peak intensities increase with N and the peak positions show a strong dispersion with strain. However, the spectra are less sensitive to electrical fields, despite their response being very similar to that found under compressive strains. Finally, k-resolved band structure calculations suggest the existence of both intralayer and interlayer excitons in optical transitions in the visible range. In light of these results, we believe that TiS2 can efficiently be explored in the design of novel vdW heterostructures in combination with other 2D materials, thus opening the way to novel applications in future nano- and optoelectronic devices.
Similar content being viewed by others
Data availability
All the data are available from the authors on request.
References
Novoselov KS, Jiang D, Schedin F, Booth TJ, Khotkevich VV, Morozov SV, Geim AK (2005) Two-dimensional atomic crystals. Proc Natl Acad Sci USA 102:10451
Wang QH, Kalantar-Zadeh K, Kis A, Coleman JN, Strano MS (2012) Electronics and optoelectronics of two-dimensional transition metal dichalcogenides. Nat Nanotechnol 7:699–712
Chhowalla M, Jena D, Zhang H (2016) Two-dimensional semiconductors for transistors. Nat Rev Mater 1:16052
Tan C, Zhang H (2015) Two-dimensional transition metal dichalcogenide nanosheet-based composites. Chem Soc Rev 44:2713–2731
Wan C, Gu X, Dang F, Itoh T, Wang Y, Sasaki H, Kondo M, Koga K, Yabuki K, Snyder GJ, Yang R, Koumoto K (2015) Flexible n-type thermoelectric materials by organic intercalation of layered transition metal dichalcogenide TiS2. Nat Mater 14:622–627
Kukkonen CA, Maldague PF (1976) Electron-Hole Scattering and the Electrical Resistivity of the Semimetal TiS2. Phys Rev Lett 37:782–785
Fischer DW (1973) X-ray band spectra and electronic structure of TiS2. Phys Rev B 8:3576–3582
Liu B, Yang J, Han Y, Hu T, Ren W, Liu C, Ma Y, Gao C (2011) Electronic structure of TiS2 and its electric transport properties under high pressure. J Appl Phys 109:053717
Whittingham MS (1976) Electrical energy storage and intercalation chemistry. Science 192:1126
Aja J (1984) A rechargeable battery employing a reduced polyacetylene anode and a titanium disulfide cathode. J Electrochem Soc 131:2744
Holleck GL, Driscoll JR (1977) Transition metal sulfides as cathodes for secondary lithium batteries—II. titanium sulfides. Electrochim Acta 22:647–655
Xu C, Brown PA, Shuford KL (2015) Strain-induced semimetal-to-semiconductor transition and indirect-to-direct band gap transition in monolayer 1T-TiS2. RSC Advances 5:83876–83879
Chen P, Chan YH, Fang XY, Zhang Y, Chou MY, Mo SK, Hussain Z, Fedorov AV, Chiang TC (2015) Charge density wave transition in single-layer titanium diselenide. Nat Commun 6:8943
Dolui K, Sanvito S (2016) Dimensionality-driven phonon softening and incipient charge density wave instability in TiS 2. EPL (Europhys Lett) 115:47001
Duong DL, Ryu G, Hoyer A, Lin C, Burghard M, Kern K (2017) Raman characterization of the charge density wave phase of 1T-TiSe2: from bulk to atomically thin layers. ACS Nano 11:1034–1040
Fang CM, de Groot RA, Haas C (1997) Bulk and surface electronic structure of 1 − TiS2 and 1T − TiSe2. Phys Rev B 56:4455–4463
Li G, Yao K, Gao G (2017) Strain-induced enhancement of thermoelectric performance of TiS2 monolayer based on first-principles phonon and electron band structures. Nanotechnology 29:015204
Mohanta MK, Fathima IS, De Sarkar A (2020) Exceptional mechano-electronic properties in the HfN2 monolayer: a promising candidate in low-power flexible electronics, memory devices and photocatalysis. Phys Chem Chem Phys 22:21275–21287
Mohanta MK, Kishore A, De Sarkar A (2020) Two-dimensional ultrathin van der Waals heterostructures of indium selenide and boron monophosphide for superfast nanoelectronics, excitonic solar cells, and digital data storage devices. Nanotechnology 31:495208
Yang X, Sa B, Zhan H, Sun Z (2017) Electric field-modulated data storage in bilayer InSe. J Mater Chem C 5:12228–12234
Ullah S, Denis PA, Menezes MG, Sato F (2019) Tunable optoelectronic properties in h-BP/h-BAs bilayers: the effect of an external electrical field. Appl Surf Sci 493:308–319
Ullah S, Denis PA, Sato F (2019) Theoretical investigation of various aspects of two dimensional holey boroxine, B3O3. RSC Adv 9:37526–37536
Li J, Duan H, Zeng B, Jing Q, Cao B, Chen F, Long M (2018) Strain-Induced Band Structure Modulation in Hexagonal Boron Phosphide/Blue Phosphorene vdW Heterostructure. J Phys Chem C 122:26120–26129
Huang L, Yue Q, Kang J, Li Y, Li J (2014) Tunable band gaps in graphene/GaN van der Waals heterostructures. J Phys: Condens Matter 26:295304
Ramasubramaniam A, Naveh D, Towe E (2011) Tunable band gaps in bilayer graphene—BN heterostructures. Nano Lett 11:1070–1075
Mogulkoc A, Mogulkoc Y, Modarresi M, Alkan B (2018) Electronic structure and optical properties of novel monolayer gallium nitride and boron phosphide heterobilayers. Phys Chem Chem Phys 20:28124–28134
Johari P, Shenoy VB (2012) Tuning the electronic properties of semiconducting transition metal dichalcogenides by applying mechanical strains. ACS Nano 6:5449–5456
Park KH, Choi J, Kim HJ, Oh D-H, Ahn JR, Son SU (2008) Unstable Single-Layered Colloidal TiS2 Nanodisks. Small 4:945–950
Mahuli N, Sarkar SK (2014) Atomic layer deposition of titanium sulfide and its application in extremely thin absorber solar cells. J Vac Sci Technol, A 33:01A150
Ivanovskaya VV, Seifert G, Ivanovskii AL (2005) Electronic structure of titanium disulfide nanostructures: monolayers, nanostripes, and nanotubes. Semiconductors 39:1058–1065
Chen J, Li S-L, Tao Z-L, Shen Y-T, Cui C-X (2003) Titanium Disulfide Nanotubes as Hydrogen-Storage Materials. J Am Chem Soc 125:5284–5285
Yang Y, Zheng G, Cui Y (2013) Nanostructured sulfur cathodes. Chem Soc Rev 42:3018–3032
Muller GA, Cook JB, Kim H-S, Tolbert SH, Dunn B (2015) High performance pseudocapacitor based on 2D layered metal chalcogenide nanocrystals. Nano Lett 15:1911–1917
Whittingham MS (2000) Insertion electrodes as SMART materials: the first 25 years and future promises. Solid State Ionics 134:169–178
Sherrell PC, Sharda K, Grotta C, Ranalli J, Sokolikova MS, Pesci FM, Palczynski P, Bemmer VL, Mattevi C (2018) Thickness-dependent characterization of chemically exfoliated TiS2 nanosheets. ACS Omega 3:8655–8662
Dion M, Rydberg H, Schröder E, Langreth DC, Lundqvist BI (2004) Van der Waals density functional for general geometries. Phys Rev Lett 92:246401
Román-Pérez G, Soler JM (2009) Efficient implementation of a van der Waals density functional: application to double-wall carbon nanotubes. Phys Rev Lett 103:096102
Ordejón P, Artacho E, Soler JM (1996) Self-consistent order-N density-functional calculations for very large systems. Phys Rev B 53:R10441
Troullier N, Martins JL (1991) Efficient pseudopotentials for plane-wave calculations. Phys Rev B 43:1993–2006
Samad A, Shafique A, Shin Y-H (2017) Adsorption and diffusion of mono, di, and trivalent ions on two-dimensional TiS2. Nanotechnology 28:175401
Li Y, Kang J, Li J (2014) Indirect-to-direct band gap transition of the ZrS2 monolayer by strain: first-principles calculations. RSC Adv 4:7396–7401
Wu N, Zhao X, Ma X, Xin Q, Liu X, Wang T, Wei S (2017) Strain effect on the electronic properties of 1T-HfS2 monolayer. Physica E 93:1–5
Ullah S, Denis PA, Capaz RB, Sato F (2019) Theoretical characterization of hexagonal 2D Be3N2 monolayers. New J Chem 43:2933–2941
Acknowledgement
JZ, XZ and WZ are thankful to the National Natural Science Foundation of China (21773012 and U2032112) and the Fundamental Research Funds for Central Universities. SU is thankful to the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and Financiadora de Estudos e Projetos (FINEP) for their financial support. MGM is thankful to CNPq, CAPES, Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) and INCT- Nanomateriais de Carbono.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Additional information
Handling Editor: Mark Bissett.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Zeb, J., Zhao, X., Ullah, S. et al. Tunable optoelectronic properties in multilayer 1T-TiS2: the effects of strain and an external electric field. J Mater Sci 56, 6891–6902 (2021). https://doi.org/10.1007/s10853-020-05760-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10853-020-05760-7