Essential role of momentum-forbidden dark excitons in the energy transfer responses of monolayer transition-metal dichalcogenides
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Abstract
Abstract We present a theoretical investigation of exciton-mediated Förster resonant energy transfers (FRET’s) from photoexcited quantum dots (QD’s) to transition-metal dichalcogenide monolayers (TMD-ML’s), implemented by the quantum theory of FRET on the base of first-principles-calculated exciton fine structures. With the enhanced electron-hole Coulomb interactions, atomically thin TMD-MLs are shown to serve as an exceptional platform for FRET that are mediated purely by excitons and take full advantage of the superior excitonic properties. Remarkably, the energy-transfer responses of atomically thin TMD-ML’s are shown to be dictated by the momentum-forbidden dark excitons rather than the commonly recognized bright ones. Specifically, the longitudinal dark exciton states following the exchange-driven light-like linear band dispersion play a key role in grading up the efficiency and robustness of FRET of TMD-ML against the inhomogeneity of QD-donor ensembles. With the essential involvement of dark excitons, the FRET responses of TMD-ML’s no longer follow the distance power law as classically predicted and, notably, cannot manifest the dimensionality of the donor-acceptor system.
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Research context
OpenAlex topics: 2D Materials and Applications · Perovskite Materials and Applications · Quantum Dots Synthesis And Properties
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References (100+)
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1. Förster, T. Energiewanderung und fluoreszenz. Naturwissenschaften 33, 166–175 (1946).10.1007/BF00585226 ↗
2. Förster, T. Zwischenmolekulare energiewanderung und fluoreszenz. Ann. Phys. 437, 55–75 (1948).10.1002/andp.19484370105 ↗
3. Förster, T. 10th spiers memorial lecture. Transfer mechanisms of electronic excitation. Discuss. Faraday Soc. 27, 7–17 (1959).10.1039/DF9592700007 ↗
4. Medintz, I. & Hildebrandt, N. FRET—Förster Resonance Energy Transfer. https://onlinelibrary.wiley.com/doi/abs/10.1002/9783527656028.fmatter (Wiley, 2013).10.1002/9783527656028 ↗
5. Jones, G. A. & Bradshaw, D. S. Resonance energy transfer: from fundamental theory to recent applications. Front. Phys. 7, 100 (2019).10.3389/fphy.2019.00100 ↗
6. Engel, G. S. et al. Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems. Nature 446, 782–786 (2007).10.1038/nature05678 ↗
7. Lee, H., Cheng, Y.-C. & Fleming, G. R. Coherence dynamics in photosynthesis: protein protection of excitonic coherence. Science 316, 1462–1465 (2007).10.1126/science.1142188 ↗
8. Cheng, Y.-C. & Fleming, G. R. Dynamics of light harvesting in photosynthesis. Annu. Rev. Phys. Chem. 60, 241–262 (2009).10.1146/annurev.physchem.040808.090259 ↗
9. Lambert, N. et al. Quantum biology. Nat. Phys. 9, 10–18 (2013).10.1038/nphys2474 ↗
10. Chenu, A. & Scholes, G. D. Coherence in energy transfer and photosynthesis. Annu. Rev. Phys. Chem. 66, 69–96 (2015).10.1146/annurev-physchem-040214-121713 ↗
11. Wilkins, D. M. & Dattani, N. S. Why quantum coherence is not important in the Fenna-Matthews-Olsen complex. J. Chem. Theory Comput. 11, 3411–3419 (2015).10.1021/ct501066k ↗
12. Franzl, T., Klar, T. A., Schietinger, S., Rogach, A. L. & Feldmann, J. Exciton recycling in graded gap nanocrystal structures. Nano Lett. 4, 1599–1603 (2004).10.1021/nl049322h ↗
13. Liu, Y., Summers, M., Edder, C., Fréchet, J. & McGehee, M. Using resonance energy transfer to improve exciton harvesting in organic-inorganic hybrid photovoltaic cells. Adv. Mater. 17, 2960–2964 (2005).10.1002/adma.200501307 ↗
14. Cnops, K. et al. 8.4% efficient fullerene-free organic solar cells exploiting long-range exciton energy transfer. Nat. Commun. 5, 1–6 (2014).10.1038/ncomms4406 ↗
15. Guzelturk, B. & Demir, H. V. Near-field energy transfer using nanoemitters for optoelectronics. Adv. Funct. Mater. 26, 8158–8177 (2016).10.1002/adfm.201603311 ↗
16. Zhang, Y.-N. et al. Efficient quantum-dot light-emitting diodes employing thermally activated delayed fluorescence emitters as exciton harvesters. ACS Appl. Mater. Interfaces 10, 7435–7441 (2018).10.1021/acsami.7b16579 ↗
17. Achermann, M. et al. Energy-transfer pumping of semiconductor nanocrystals using an epitaxial quantum well. Nature 429, 642–646 (2004).10.1038/nature02571 ↗
18. Achermann, M., Petruska, M. A., Koleske, D. D., Crawford, M. H. & Klimov, V. I. Nanocrystal-based light-emitting diodes utilizing high-efficiency nonradiative energy transfer for color conversion. Nano Lett. 6, 1396–1400 (2006).10.1021/nl060392t ↗
19. Prins, F., Goodman, A. J. & Tisdale, W. A. Reduced dielectric screening and enhanced energy transfer in single- and few-layer MoS2. Nano Lett. 14, 6087–6091 (2014).10.1021/nl5019386 ↗
20. Mehlenbacher, R. D. et al. Energy transfer pathways in semiconducting carbon nanotubes revealed using two-dimensional white-light spectroscopy. Nat. Commun. 6, 1–7 (2015).10.1038/ncomms7732 ↗
21. Prasai, D. et al. Electrical control of near-field energy transfer between quantum dots and two-dimensional semiconductors. Nano Lett. 15, 4374–4380 (2015).10.1021/acs.nanolett.5b00514 ↗
22. Federspiel, F. et al. Distance dependence of the energy transfer rate from a single semiconductor nanostructure to graphene. Nano Lett. 15, 1252–1258 (2015).10.1021/nl5044192 ↗
23. Olutas, M., Guzelturk, B., Kelestemur, Y., Gungor, K. & Demir, H. V. Highly efficient nonradiative energy transfer from colloidal semiconductor quantum dots to wells for sensitive noncontact temperature probing. Adv. Funct. Mater. 26, 2891–2899 (2016).10.1002/adfm.201505108 ↗
24. Raja, A. et al. Energy transfer from quantum dots to graphene and MoS2: the role of absorption and screening in two-dimensional materials. Nano Lett. 16, 2328–2333 (2016).10.1021/acs.nanolett.5b05012 ↗
25. Zang, H. et al. Nonradiative energy transfer from individual CdSe/ZnS quantum dots to single-layer and few-layer tin disulfide. ACS Nano 10, 4790–4796 (2016).10.1021/acsnano.6b01538 ↗
26. Gough, J. J. et al. Dependence of photocurrent enhancements in quantum dot (QD)-sensitized MoS2 devices on MoS2 film properties. Adv. Funct. Mater. 28, 1706149 (2018).10.1002/adfm.201706149 ↗
27. Goodfellow, K. M. et al. Distance-dependent energy transfer between CdSe/CdS quantum dots and a two-dimensional semiconductor. Appl. Phys. Lett. 108, 021101 (2016).10.1063/1.4939845 ↗
28. Erdem, O. et al. Orientation-controlled nonradiative energy transfer to colloidal nanoplatelets: engineering dipole orientation factor. Nano Lett. 19, 4297–4305 (2019).10.1021/acs.nanolett.9b00681 ↗
29. Liu, H., Wang, T., Wang, C., Liu, D. & Luo, J. Exciton radiative recombination dynamics and nonradiative energy transfer in two-dimensional transition-metal dichalcogenides. J. Phys. Chem. C 123, 10087–10093 (2019).10.1021/acs.jpcc.8b12179 ↗
30. Liu, H. et al. Controllable interlayer charge and energy transfer in perovskite quantum dots/ transition metal dichalcogenide heterostructures. Adv. Mater. Interfaces 6, 1901263 (2019).10.1002/admi.201901263 ↗
31. Flach, J. T., Wang, J., Arnold, M. S. & Zanni, M. T. Providing time to transfer: longer lifetimes lead to improved energy transfer in films of semiconducting carbon nanotubes. J. Phys. Chem. Lett. 11, 6016–6024 (2020).10.1021/acs.jpclett.0c01555 ↗
32. Zhang, Q., Linardy, E., Wang, X. & Eda, G. Excitonic energy transfer in heterostructures of quasi-2D perovskite and monolayer WS2. ACS Nano 14, 11482–11489 (2020).10.1021/acsnano.0c03893 ↗
33. Zhou, H. et al. Controlling exciton and valley dynamics in two-dimensional heterostructures with atomically precise interlayer proximity. ACS Nano 14, 4618–4625 (2020).10.1021/acsnano.0c00218 ↗
34. Zhang, C. et al. Near-unity-efficiency energy transfer from perovskite to monolayer semiconductor through long-range migration and asymmetric interfacial transfer. ACS Appl. Mater. Interfaces 13, 41895–41903 (2021).10.1021/acsami.1c11753 ↗
35. Karpińska, M. et al. Nonradiative energy transfer and selective charge transfer in a WS2/(PEA)2PbI4 heterostructure. ACS Appl. Mater. Interfaces 13, 33677–33684 (2021).10.1021/acsami.1c08377 ↗
36. Tumiel, T. M., Amin, M. & Krauss, T. D. Single-walled carbon nanotube dark exciton photoluminescence dynamics. J. Phys. Chem. C 125, 25022–25029 (2021).10.1021/acs.jpcc.1c05818 ↗
37. Padgaonkar, S. et al. Mechanism of long-range energy transfer from quantum dots to black phosphorus. J. Phys. Chem. C 125, 15458–15464 (2021).10.1021/acs.jpcc.1c04562 ↗
38. Wieland, L., Li, H., Rust, C., Chen, J. & Flavel, B. S. Carbon nanotubes for photovoltaics: from lab to industry. Adv. Energy Mater. 11, 2002880 (2021).10.1002/aenm.202002880 ↗
39. Bradac, C., Xu, Z.-Q. & Aharonovich, I. Quantum energy and charge transfer at two-dimensional interfaces. Nano Lett. 21, 1193–1204 (2021).10.1021/acs.nanolett.0c04152 ↗
40. Zhang, X., Leng, X., Yin, H. & Ma, Y. Role of dark excitons in the excitation energy transfer of carbon nanotubes. J. Phys. Chem. C 125, 17861–17869 (2021).10.1021/acs.jpcc.1c05378 ↗
41. 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).10.1103/PhysRevLett.105.136805 ↗
42. Bernardi, M., Palummo, M. & Grossman, J. C. Extraordinary sunlight absorption and one nanometer thick photovoltaics using two-dimensional monolayer materials. Nano Lett. 13, 3664–3670 (2013).10.1021/nl401544y ↗
43. Amani, M. et al. Near-unity photoluminescence quantum yield in MoS2. Science 350, 1065–1068 (2015).10.1126/science.aad2114 ↗
44. Mak, K. F. & Shan, J. Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides. Nat. Photonics 10, 216–226 (2016).10.1038/nphoton.2015.282 ↗
45. Lundt, N. et al. Room-temperature Tamm-plasmon exciton-polaritons with a WSe2 monolayer. Nat. Commun. 7, 1–6 (2016).10.1038/ncomms13328 ↗
46. Manzeli, S., Ovchinnikov, D., Pasquier, D., Yazyev, O. V. & Kis, A. 2D transition metal dichalcogenides. Nat. Rev. Mater. 2, 1–15 (2017).10.1038/natrevmats.2017.33 ↗
47. Liu, X. et al. Control of coherently coupled exciton polaritons in monolayer tungsten disulphide. Phys. Rev. Lett. 119, 027403 (2017).10.1103/PhysRevLett.119.027403 ↗
48. Wang, G. et al. Colloquium: excitons in atomically thin transition metal dichalcogenides. Rev. Mod. Phys. 90, 021001 (2018).10.1103/RevModPhys.90.021001 ↗
49. Mueller, T. & Malic, E. Exciton physics and device application of two-dimensional transition metal dichalcogenide semiconductors. npj 2D Mater. Appl. 2, 1–12 (2018).10.1038/s41699-018-0074-2 ↗
50. Wilson, N. P., Yao, W., Shan, J. & Xu, X. Excitons and emergent quantum phenomena in stacked 2D semiconductors. Nature 599, 383–392 (2021).10.1038/s41586-021-03979-1 ↗
51. Ramasubramaniam, A. Large excitonic effects in monolayers of molybdenum and tungsten dichalcogenides. Phys. Rev. B 86, 115409 (2012).10.1103/PhysRevB.86.115409 ↗
52. Qiu, D. Y., da Jornada, F. H. & Louie, S. G. Optical spectrum of MoS2: many-body effects and diversity of exciton states. Phys. Rev. Lett. 111, 216805 (2013).10.1103/PhysRevLett.111.216805 ↗
53. Chernikov, A. et al. Exciton binding energy and nonhydrogenic Rydberg series in monolayer WS2. Phys. Rev. Lett. 113, 076802 (2014).10.1103/PhysRevLett.113.076802 ↗
54. He, K. et al. Tightly bound excitons in monolayer WSe2. Phys. Rev. Lett. 113, 026803 (2014).10.1103/PhysRevLett.113.026803 ↗
55. Kozawa, D. et al. Evidence for fast interlayer energy transfer in MoSe2/WS2 heterostructures. Nano Lett. 16, 4087–4093 (2016).10.1021/acs.nanolett.6b00801 ↗
56. Taghipour, N. et al. Near-unity efficiency energy transfer from colloidal semiconductor quantum wells of CdSe/CdS nanoplatelets to a monolayer of MoS2. ACS Nano 12, 8547–8554 (2018).10.1021/acsnano.8b04119 ↗
57. Wu, L., Chen, Y., Zhou, H. & Zhu, H. Ultrafast energy transfer of both bright and dark excitons in 2D van der Waals heterostructures beyond dipolar coupling. ACS Nano 13, 2341–2348 (2019).
58. Tomita, A., Shah, J. & Knox, R. S. Efficient exciton energy transfer between widely separated quantum wells at low temperatures. Phys. Rev. B 53, 10793–10803 (1996).10.1103/PhysRevB.53.10793 ↗
59. Lyo, S. K. Energy transfer of excitons between quantum wells separated by a wide barrier. Phys. Rev. B 62, 13641–13656 (2000).10.1103/PhysRevB.62.13641 ↗
60. Swathi, R. S. & Sebastian, K. L. Long range resonance energy transfer from a dye molecule to graphene has (distance)-4 dependence. J. Chem. Phys. 130, 086101 (2009).10.1063/1.3077292 ↗
61. Swathi, R. & Sebastian, K. Distance dependence of fluorescence resonance energy transfer. J. Chem. Sci. 121, 777–787 (2009).10.1007/s12039-009-0092-x ↗
62. Malic, E., Appel, H., Hofmann, O. T. & Rubio, A. Förster-induced energy transfer in functionalized graphene. J. Phys. Chem. C 118, 9283–9289 (2014).10.1021/jp5019636 ↗
63. Selig, M., Malic, E., Ahn, K. J., Koch, N. & Knorr, A. Theory of optically induced Förster coupling in van der Waals coupled heterostructures. Phys. Rev. B 99, 035420 (2019).10.1103/PhysRevB.99.035420 ↗
64. Katzer, M. et al. Impact of dark excitons on Förster-type resonant energy transfer between dye molecules and atomically thin semiconductors. Phys. Rev. B 107, 035304 (2023).10.1103/PhysRevB.107.035304 ↗
65. Zhang, X.-X. et al. Magnetic brightening and control of dark excitons in monolayer WSe2. Nat. Nanotechnol. 12, 883–888 (2017).10.1038/nnano.2017.105 ↗
66. Robert, C. et al. Measurement of the spin-forbidden dark excitons in MoS2 and MoSe2 monolayers. Nat. Commun. 11, 1–8 (2020).10.1038/s41467-020-17608-4 ↗
67. Wang, G. et al. In-plane propagation of light in transition metal dichalcogenide monolayers: optical selection rules. Phys. Rev. Lett. 119, 047401 (2017).10.1103/PhysRevLett.119.047401 ↗
68. Li, Z. et al. Revealing the biexciton and trion-exciton complexes in BN encapsulated WSe2. Nat. Commun. 9, 3719 (2018).10.1038/s41467-018-05863-5 ↗
69. Peng, G.-H. et al. Distinctive signatures of the spin- and momentum-forbidden dark exciton states in the photoluminescence of strained WSe2 monolayers under thermalization. Nano Lett. 19, 2299–2312 (2019).10.1021/acs.nanolett.8b04786 ↗
70. Malic, E. et al. Dark excitons in transition metal dichalcogenides. Phys. Rev. Mater. 2, 014002 (2018).10.1103/PhysRevMaterials.2.014002 ↗
71. Selig, M. et al. Dark and bright exciton formation, thermalization, and photoluminescence in monolayer transition metal dichalcogenides. 2D Mater. 5, 035017 (2018).10.1088/2053-1583/aabea3 ↗
72. Bao, D. et al. Probing momentum-indirect excitons by near-resonance photoluminescence excitation spectroscopy in WS2 monolayer. 2D Mater. 7, 031002 (2020).10.1088/2053-1583/ab817a ↗
73. Deilmann, T. & Thygesen, K. S. Finite-momentum exciton landscape in mono-and bilayer transition metal dichalcogenides. 2D Mater. 6, 035003 (2019).10.1088/2053-1583/ab0e1d ↗
74. Liu, E. et al. Multipath optical recombination of intervalley dark excitons and trions in monolayer WSe2. Phys. Rev. Lett. 124, 196802 (2020).10.1103/PhysRevLett.124.196802 ↗
75. Qiu, D. Y., Cao, T. & Louie, S. G. Nonanalyticity, valley quantum phases, and lightlike exciton dispersion in monolayer transition metal dichalcogenides: theory and first-principles calculations. Phys. Rev. Lett. 115, 176801 (2015).10.1103/PhysRevLett.115.176801 ↗
76. Lo, P.-Y., Peng, G.-H., Li, W.-H., Yang, Y. & Cheng, S.-J. Full-zone valley polarization landscape of finite-momentum exciton in transition metal dichalcogenide monolayers. Phys. Rev. Res. 3, 043198 (2021).10.1103/PhysRevResearch.3.043198 ↗
77. Splendiani, A. et al. Emerging photoluminescence in monolayer MoS2. Nano Lett. 10, 1271–1275 (2010).10.1021/nl903868w ↗
78. Xiao, D., Liu, G.-B., Feng, W., Xu, X. & Yao, W. Coupled spin and valley physics in monolayers of MoS2 and other group-vi dichalcogenides. Phys. Rev. Lett. 108, 196802 (2012).10.1103/PhysRevLett.108.196802 ↗
79. Zeng, H., Dai, J., Yao, W., Xiao, D. & Cui, X. Valley polarization in MoS2 monolayers by optical pumping. Nat. Nanotechnol. 7, 490–493 (2012).10.1038/nnano.2012.95 ↗
80. Seyler, K. L. et al. Electrical control of second-harmonic generation in a WSe2 monolayer transistor. Nat. Nanotechnol. 10, 407–411 (2015).10.1038/nnano.2015.73 ↗
81. Kadantsev, E. S. & Hawrylak, P. Electronic structure of a single MoS2 monolayer. Solid State Commun. 152, 909–913 (2012).10.1016/j.ssc.2012.02.005 ↗
82. Wu, F., Qu, F. & MacDonald, A. H. Exciton band structure of monolayer MoS2. Phys. Rev. B 91, 075310 (2015).10.1103/PhysRevB.91.075310 ↗
83. Qiu, D. Y., da Jornada, F. H. & Louie, S. G. Screening and many-body effects in two-dimensional crystals: monolayer MoS2. Phys. Rev. B 93, 235435 (2016).10.1103/PhysRevB.93.235435 ↗
84. Winther, K. T. & Thygesen, K. S. Band structure engineering in van der Waals heterostructures via dielectric screening: the gδw method. 2D Mater. 4, 025059 (2017).10.1088/2053-1583/aa6531 ↗
85. Ross, J. S. et al. Electrical control of neutral and charged excitons in a monolayer semiconductor. Nat. Commun. 4, 1–6 (2013).10.1038/ncomms2498 ↗
86. Li, Y. et al. Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2. Phys. Rev. B 90, 205422 (2014).10.1103/PhysRevB.90.205422 ↗
87. Ye, Z. et al. Probing excitonic dark states in single-layer tungsten disulphide. Nature 513, 214–218 (2014).10.1038/nature13734 ↗
88. Wang, G. et al. Giant enhancement of the optical second-harmonic emission of WSe2 monolayers by laser excitation at exciton resonances. Phys. Rev. Lett. 114, 097403 (2015).10.1103/PhysRevLett.114.097403 ↗
89. Bastard, G., Mendez, E. E., Chang, L. L. & Esaki, L. Exciton binding energy in quantum wells. Phys. Rev. B 26, 1974–1979 (1982).10.1103/PhysRevB.26.1974 ↗
90. Weisbuch, C., Benisty, H. & Houdré, R. Overview of fundamentals and applications of electrons, excitons and photons in confined structures. J. Lumin. 85, 271–293 (2000).10.1016/S0022-2313(99)00194-5 ↗
91. Ardizzone, V. et al. Emerging 2D materials for room-temperature polaritonics. Nanophotonics 8, 1547–1558 (2019).10.1515/nanoph-2019-0114 ↗
92. Yu, H., Liu, G.-B., Gong, P., Xu, X. & Yao, W. Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides. Nat. Commun. 5, 1–7 (2014).10.1038/ncomms4876 ↗
93. Sham, L. J. & Rice, T. M. Many-particle derivation of the effective-mass equation for the Wannier exciton. Phys. Rev. 144, 708–714 (1966).10.1103/PhysRev.144.708 ↗
94. Hanke, W. & Sham, L. J. Many-particle effects in the optical spectrum of a semiconductor. Phys. Rev. B 21, 4656–4673 (1980).10.1103/PhysRevB.21.4656 ↗
95. Rohlfing, M. & Louie, S. G. Electron-hole excitations in semiconductors and insulators. Phys. Rev. Lett. 81, 2312–2315 (1998).10.1103/PhysRevLett.81.2312 ↗
96. Bieniek, M., Szulakowska, L. & Hawrylak, P. Band nesting and exciton spectrum in monolayer MoS2. Phys. Rev. B 101, 125423 (2020).10.1103/PhysRevB.101.125423 ↗
97. Trolle, M. L., Pedersen, T. G. & Véniard, V. Model dielectric function for 2D semiconductors including substrate screening. Sci. Rep. 7, 39844 (2017).10.1038/srep39844 ↗
98. Florian, M. et al. The dielectric impact of layer distances on exciton and trion binding energies in van der Waals heterostructures. Nano Lett. 18, 2725–2732 (2018).10.1021/acs.nanolett.8b00840 ↗
99. Kamban, H. C., Pedersen, T. G. & Peres, N. M. R. Anisotropic stark shift, field-induced dissociation, and electroabsorption of excitons in phosphorene. Phys. Rev. B 102, 115305 (2020).10.1103/PhysRevB.102.115305 ↗
100. Kornyshev, A. A., Rubinshtein, A. I. & Vorotyntsev, M. A. Model nonlocal electrostatics. i. J. Phys. C Solid State Phys. 11, 3307 (1978).10.1088/0022-3719/11/15/029 ↗