Abstract
In this chapter, recent progresses on the theoretical study of low-dimensional semiconducting transition metal dichalcogenides (TMD) MX2 (M = Mo, W; X = S, Se, Te) are reviewed. The chemical trends in basic structural and electronic properties are discussed, and the band offsets between MX2 monolayers are calculated. A simple model is proposed to interpret the chemical trends of the band offsets. Moreover, the suitable band edge position of MoS2 monolayer makes it a good candidate for the photo-splitting of water. The cluster expansion method and special quasi-random structure approach are employed to study the properties of MX2 alloys. It is demonstrated that in (S, Se) alloys, there exist stable-ordered alloy structures even at 0 K, whereas in (Se,Te) and (S,Te) alloys, phase separation into the two constituents will occur at 0 K. Nevertheless, a complete miscibility in these alloys can be achieved by increasing temperature. Finally, we show that the bandgap of MX2 nanostructures can be efficiently modulated by strain, electronic field, and alloying. By increasing strain or electric field strength, the bandgap of MX2 can be reduced, and gap closure is achieved when the strain/field strength reaches a critical value. In MX2 alloys, the bandgap and band edge position varies as the composition changes, and exhibits bowing effect, which is a joint effect of volume deformation, chemical difference, and structure relaxation. More importantly, the direct gap character of MX2 monolayer is retained in the alloys, making them good candidates for 2D optoelectronics.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Novoselov, K.S., Jiang, D., Schedin, F., Booth, T.J., Khotkevich, V.V., Morozov, S.V., Geim, A.K.: Two-dimensional atomic crystals. Proc. Natl. Acad. Sci. USA. 102, 10451 (2005)
Coleman, J.N., Lotya, M., O’Neill, A., Bergin, S.D., King, P.J., Khan, U., Young, K., Gaucher, A., De, S., Smith, R.J., Shvets, I.V., Arora, S.K., Stanton, G., Kim, H.-Y., Lee, K., Kim, G.T., Duesberg, G.S., Hallam, T., Boland, J.J., Wang, J.J., Donegan, J.F., Grunlan, J.C., Moriarty, G., Shmeliov, A., Nicholls, R.J., Perkins, J.M., Grieveson, E.M., Theuwissen, K., McComb, D.W., Nellist, P.D., Nicolosi, V.: Two-dimensional nanosheets produced by liquid exfoliation of layered materials. Science 331, 568 (2011)
Tongay, S., Zhou, J., Ataca, C., Lo, K., Matthews, T.S., Li, J., Grossman, J.C., Wu, J.: Thermally driven crossover from indirect toward direct bandgap in 2D semiconductors: MoSe2 versus MoS2. Nano Lett. 12, 5576 (2012)
Zeng, Z., Yin, Z., Huang, X., Li, H., He, Q., Lu, G., Boey, F., Zhang, H.: Single-layer semiconducting nanosheets: high-yield preparation and device fabrication. Angew. Chem. Int. Ed. 50, 11093 (2011)
Radisavljevic, B., Radenovic, A., Brivio, J., Giacometti, V., Kis, A.: Single-layer MoS2 transistors. Nature Nanotech. 6, 147 (2012)
Radisavljevic, B., Whitwicj, M.B., Kis, A.: Integrated circuits and logic operations based on single-layer MoS2. ACS. Nano. 5, 9934 (2011)
Mak, K.F., Lee, C., Hone, J., Shan, J., Heinz, T.F.: Atomically thin MoS2: a new direct-gap semiconductor. Phys. Rev. Lett. 105, 136805 (2010)
Splendiani, A., Sun, L., Zhang, Y., Li, T., Kim, J., Chim, C.-Y., Galli, G., Wang, F.: Emerging photoluminescence in monolayer MoS2. Nano Lett. 10, 1271 (2010)
Cao, T., Wang, G., Han, W., Ye, H., Zhu, C., Shi, J., Niu, Q., Tan, P., Wang, E., Liu, B., Feng, J.: Valley-selective circular dichroism of monolayer molybdenum disulphide. Nat. Commun. 3, 887 (2012)
Zeng, H., Dai, J., Yao, W., Xiao, D., Cui, X.: Valley polarization in MoS2 monolayers by optical pumping. Nat. Nanotechnol. 7, 490 (2012)
Li, J., Wang, L.-W.: First principle study of core/shell structure quantum dots. Appl. Phys. Lett. 85, 2929 (2004)
Zhang, S.B., Wei, S.H., Zunger, A.: Microscopic origin of the phenomenological equilibrium doping limit rule in n-type III-V semiconductors. Phys. Rev. Lett. 84, 1232 (2000)
Kavan, L., Grätzel, M., Gilbert, S.E., Klemenz, C., Scheel, H.J.: Electrochemical and photoelectrochemical investigation of single-crystal anatase. J. Am. Chem. Soc. 118, 6716 (1996)
Kang, J., Tongay, S., Zhou, J., Li, J., Wu, J.: Band offsets and heterostructures of two-dimensional semiconductors. Appl. Phys. Lett. 102, 012111 (2013)
Johari, P., Shenoy, V.B.: Tuning the electronic properties of semiconducting transition metal dichalcogenides by applying mechanical strains. ACS. Nano. 6, 5449 (2012)
Yue, Q., Kang, J., Shao, Z., Zhang, X., Chang, S., Wang, G., Qin, S., Li, J.: Mechanical and electronic properties of monolayer MoS2 under elastic strain. Phys. Lett. A 376, 1166 (2012)
Ramasubramaniam, A., Naveh, D., Towe, E.: Tunable band gaps in bilayer transition-metal dichalcogenides. Phys. Rev. B 84, 205325 (2011)
Yue, Q., Chang, S., Kang, J., Zhang, X., Shao, Z., Qin, S., Li, J.: Bandgap tuning in armchair MoS2 nanoribbon. J. Phys. Condens. Matter 24, 335501 (2012)
Komsa, H.-P., Krasheninnikov, A.V.: Two-dimensional transition metal dichalcogenide alloys: stability and electronic properties. J. Phys. Chem. Lett. 3, 3652 (2012)
Kang, J., Tongay, J., Li, J., Wu, J.: Monolayer semiconducting transition metal dichalcogenide alloys: stability and band bowing. J. Appl. Phys. 113, 143703 (2013)
Kresse, G., Furthmuller, J.: Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169 (1996)
Soler, J.M., Artacho, E., Gale, J.D., García, A., Junquera, J., Ordejón, P., Sánchez-Portal, D.: The SIESTA method for ab initio order-N materials simulation. J. Phys. Condens. Matter 14, 2745 (2002)
Heyd, J., Scuseria, G.E., Ernzerhof, M.: Hybrid functionals based on a screened Coulomb potential. J. Chem. Phys. 118, 8207 (2003)
Sanchez, J., Ducastelle, F., Gratias, D.: Generalized cluster description of multicomponent systems. Phys. A 128, 334 (1984)
Ferreira, L.G., Wei, S.-H., Zunger, A.: First-principles calculation of alloy phase diagrams: The renormalized-interaction approach. Phys. Rev. B 40, 3197 (1989)
Zunger, A., Wei, S.-H., Ferreira, L.G., Bernard, J.E.: Special quasirandom structures. Phys. Rev. Lett. 65, 353 (1990)
Van de Walle, A., Asta, M., Ceder, G.: The alloy theoretic automated toolkit: a user guide. Calphad 26, 539 (2002)
Castellanos-Gomez, A., Poot, M., Steele, G.A., Van der Zant, H.S.J., Agraït, N., Rubio-Bollinger, G.: Elastic properties of freely suspended MoS2 nanosheets. Adv. Mater. 24, 772 (2012)
Wei, S.-H., Zunger, A.: Band offsets and optical bowings of chalcopyrites and Zn-based II-VI alloys. J. Appl. Phys. 78, 3846 (1995)
Gai, Y., Li, J., Li, S–.S., Xia, J.-B., Wei, S.-H.: Design of narrow-gap TiO2: a passivated codoping approach for enhanced photoelectrochemical activity. Phys. Rev. Lett. 102, 036402 (2009)
Chakrapani, V., Angus, J.C., Anderson, A.B., Wolter, S.D., Stoner, B.R., Sumanasekera, G.U.: Charge transfer equilibria between diamond and an aqueous oxygen electrochemical redox couple. Science 318, 1424 (2007)
Jiang, H.: Electronic band structures of molybdenum and tungsten dichalcogenides by the GW approach. J. Phys. Chem. C 116, 7664 (2012)
Lambrecht, W.R.L., Segall, B.: Electronic structure and equilibrium properties of Ga x Al1-x N alloys. Phys. Rev. B 47, 9289 (1993)
Alling, B., Ruban, A.V., Karimi, A., Peil, O.E., Simak, S.I., Hultman, L., Abrikosov, I.A.: Mixing and decomposition thermodynamics of c-Ti1-x Al x N from first-principles calculations. Phys. Rev. B 75, 045123 (2007)
Teles, L.K., Furthmüller, J., Scolfaro, L.M.R., Leite, J.R., Bechstedt, F.: First-principles calculations of the thermodynamic and structural properties of strained InxGa1-xN and Al x Ga1-x N alloys. Phys. Rev. B 62, 2475 (2000)
Zhang, Z., Guo, W.: Energy-gap modulation of BN ribbons by transverse electric fields: first-principles calculations. Phys. Rev. B 77, 075403 (2008)
Zheng, F., Liu, Z., Wu, J., Duan, W., Gu, B.-L.: Scaling law of the giant Stark effect in boron nitride nanoribbons and nanotubes. Phys. Rev. B 78, 085423 (2008)
Wu, J., Walukiewicz, W., Yu, K.M., Ager, J.W., Haller, E.E., Miotkowski, I., Ramdas, A.K., Su, C.-H., Sou, I.K., Perera, R.C.C., Denlinger, J.D.: Origin of the large band-gap bowing in highly mismatched semiconductor alloys. Phys. Rev. B 67, 035207 (2003)
Wu, J., Walukiewicz, W., Yu, K.M., Denlinger, J.D., Shan, W., Ager, J.W., Kimura, A., Tang, H.F., Kuech, T.F.: Valence band hybridization in N-rich GaN1−x As x alloys. Phys. Rev. B 70, 115214 (2004)
Yin, W.-J., Gong, X.-G., Wei, S.-H.: Origin of the unusually large band-gap bowing and the breakdown of the band-edge distribution rule in the Sn x Ge1−x alloys. Phys. Rev. B 78, 161203 (2008)
Wei, S.-H., Zunger, A.: Disorder effects on the density of states of the II-VI semiconductor alloys Hg0.5Cd0.5Te, Cd0.5Zn0.5Te, and Hg0.5Zn0.5Te. Phys. Rev. B 43, 1662 (1991)
Bernard, J.E., Zunger, A.: Optical bowing in zinc chalcogenide semiconductor alloys. Phys. Rev. B 34, 5992 (1986)
Acknowledgments
J. Li gratefully acknowledges financial support from the National Science Fund for Distinguished Young Scholar (Grant No. 60925016). This work is partially supported by the National Basic Research Program of China (Grant No. 2011CB921901).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Kang, J., Li, J. (2014). Ab Initio Study on MoS2 and Its Family: Chemical Trend, Band Alignment, Alloying, and Gap Modulation. In: Wang, Z. (eds) MoS2. Lecture Notes in Nanoscale Science and Technology, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-02850-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-02850-7_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02849-1
Online ISBN: 978-3-319-02850-7
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)