journal article·2026-01-31Open access

Dissecting intervalley coupling mechanisms in monolayer transition metal dichalcogenides

Oleg Dogadov, Henry Mittenzwey, Micol Bertolotti, Nicholas Olsen, Thomas Deckert, Chiara Trovatello, Xiaoyang Zhu, Daniele Brida, Giulio Cerullo, Andreas Knorr, Stefano Dal Conte

npj 2D Materials and Applications· Volume 10· Issue 1

Abstract

Monolayer (1L) transition metal dichalcogenides (TMDs) provide a unique opportunity to control the valley degree of freedom of optically excited charge carriers due to the spin-valley locking effect. However, a unified picture of competing intervalley coupling processes in 1L-TMDs is lacking. Here, we apply broadband helicity-resolved transient absorption to explore exciton valley polarization dynamics in 1L-WSe2. By combining experimental results with microscopic simulations, we dissect individual intervalley coupling mechanisms and reveal the crucial role of phonon-assisted scattering in the fast decay of the A exciton circular dichroism and the formation of the dichroism of opposite polarity for the B exciton. We further provide a consistent description of the valley depolarization driven by an intervalley-exchange-activating momentum-dark Dexter process and indicate the presence of efficient single electron spin-flip mechanisms. Our study advances understanding of exciton dynamics in TMDs.
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OpenAlex topics: 2D Materials and Applications · Graphene research and applications · Photochromic and Fluorescence Chemistry

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References (71)

Show source-provided references
1. 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 ↗
2. Xu, X., Yao, W., Xiao, D. & Heinz, T. F. Spin and pseudospins in layered transition metal dichalcogenides. Nat. Phys. 10, 343–350 (2014).10.1038/nphys2942 ↗
3. Schaibley, J. R. et al. Valleytronics in 2D materials. Nat. Rev. Mater. 1, 16055 (2016).10.1038/natrevmats.2016.55 ↗
4. Liu, Y. et al. Valleytronics in transition metal dichalcogenides materials. Nano Res. 12, 2695–2711 (2019).10.1007/s12274-019-2497-2 ↗
5. Siwen, Z. et al. Valley manipulation in monolayer transition metal dichalcogenides and their hybrid systems: status and challenges. Rep. Prog. Phys. 84, 026401 (2021).10.1088/1361-6633/abdb98 ↗
6. 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 ↗
7. Sallen, G. et al. Robust optical emission polarization in MoS2 monolayers through selective valley excitation. Phys. Rev. B 86, 081301 (2012).10.1103/PhysRevB.86.081301 ↗
8. 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 ↗
9. Mak, K. F., Xiao, D. & Shan, J. Light–valley interactions in 2D semiconductors. Nat. Photonics 12, 451–460 (2018).10.1038/s41566-018-0204-6 ↗
10. Dal Conte, S., Trovatello, C., Gadermaier, C. & Cerullo, G. Ultrafast photophysics of 2D semiconductors and related heterostructures. Trends Chem. 2, 28–42 (2020).10.1016/j.trechm.2019.07.007 ↗
11. Zhu, C. R. et al. Exciton valley dynamics probed by Kerr rotation in WSe2 monolayers. Phys. Rev. B 90, 161302 (2014).10.1103/PhysRevB.90.161302 ↗
12. Plechinger, G. et al. Valley dynamics of excitons in monolayer dichalcogenides. Phys. Status Solidi (RRL) - Rapid Res. Lett. 11, 1700131 (2017).10.1002/pssr.201700131 ↗
13. Mai, C. et al. Many-body effects in valleytronics: direct measurement of valley lifetimes in single-layer MoS2. Nano Lett. 14, 202–206 (2014).10.1021/nl403742j ↗
14. Mai, C. et al. Exciton valley relaxation in a single layer of WS2 measured by ultrafast spectroscopy. Phys. Rev. B 90, 041414 (2014).10.1103/PhysRevB.90.041414 ↗
15. Wang, Z. et al. Intravalley spin-flip relaxation dynamics in single-layer WS2. Nano Lett. 18, 6882–6891 (2018).10.1021/acs.nanolett.8b02774 ↗
16. Lloyd, L. T. et al. Sub-10 fs intervalley exciton coupling in monolayer MoS2 revealed by helicity-resolved two-dimensional electronic spectroscopy. ACS Nano 15, 10253–10263 (2021).10.1021/acsnano.1c02381 ↗
17. Schmidt, R. et al. Ultrafast coulomb-induced intervalley coupling in atomically thin WS2. Nano Lett. 16, 2945–2950 (2016).10.1021/acs.nanolett.5b04733 ↗
18. Berghäuser, G. et al. Inverted valley polarization in optically excited transition metal dichalcogenides. Nat. Commun. 9, 971 (2018).10.1038/s41467-018-03354-1 ↗
19. Selig, M. et al. Ultrafast dynamics in monolayer transition metal dichalcogenides: interplay of dark excitons, phonons, and intervalley exchange. Phys. Rev. Res. 1, 022007 (2019).10.1103/PhysRevResearch.1.022007 ↗
20. Yu, T. & Wu, M. Valley depolarization due to intervalley and intravalley electron-hole exchange interactions in monolayer MoS2. Phys. Rev. B 89, 205303 (2014).10.1103/PhysRevB.89.205303 ↗
21. Combescot, M., Amand, T. & Shiau, S.-Y. Ab initio quantum approach to electron-hole exchange for semiconductors hosting Wannier excitons. Phys. Rev. B 107, 115206 (2023).10.1103/PhysRevB.107.115206 ↗
22. Kioseoglou, G., Hanbicki, A. T., Currie, M., Friedman, A. L. & Jonker, B. T. Optical polarization and intervalley scattering in single layers of MoS2 and MoSe2. Sci. Rep. 6, 25041 (2016).10.1038/srep25041 ↗
23. Molina-Sánchez, A., Sangalli, D., Wirtz, L. & Marini, A. Ab initio calculations of ultrashort carrier dynamics in two-dimensional materials: valley depolarization in single-layer WSe2. Nano Lett. 17, 4549–4555 (2017).10.1021/acs.nanolett.7b00175 ↗
24. Carvalho, B. R. et al. Intervalley scattering by acoustic phonons in two-dimensional MoS2 revealed by double-resonance Raman spectroscopy. Nat. Commun. 8, 14670 (2017).10.1038/ncomms14670 ↗
25. Brem, S. et al. Phonon-assisted photoluminescence from indirect excitons in monolayers of transition-metal dichalcogenides. Nano Lett. 20, 2849–2856 (2020).10.1021/acs.nanolett.0c00633 ↗
26. He, M. et al. Valley phonons and exciton complexes in a monolayer semiconductor. Nat. Commun. 11, 618 (2020).10.1038/s41467-020-14472-0 ↗
27. Bae, S. et al. K-point longitudinal acoustic phonons are responsible for ultrafast intervalley scattering in monolayer MoSe2. Nat. Commun. 13, 4279 (2022).10.1038/s41467-022-32008-6 ↗
28. 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 ↗
29. Bernal-Villamil, I. et al. Exciton broadening and band renormalization due to Dexter-like intervalley coupling. 2D Mater. 5, 025011 (2018).10.1088/2053-1583/aaaa8b ↗
30. Guo, L. et al. Exchange-driven intravalley mixing of excitons in monolayer transition metal dichalcogenides. Nat. Phys. 15, 228–232 (2019).10.1038/s41567-018-0362-y ↗
31. Huang, J., Hoang, T. B., Ming, T., Kong, J. & Mikkelsen, M. H. Temporal and spatial valley dynamics in two-dimensional semiconductors probed via Kerr rotation. Phys. Rev. B 95, 075428 (2017).10.1103/PhysRevB.95.075428 ↗
32. Koutenský, P. et al. Ultrafast dynamics of valley-polarized excitons in WSe2 monolayer studied by few-cycle laser pulses. Nanomaterials 13, 1207 (2023).10.3390/nano13071207 ↗
33. Raiber, S. et al. Ultrafast pseudospin quantum beats in multilayer WSe2 and MoSe2. Nat. Commun. 13, 4997 (2022).10.1038/s41467-022-32534-3 ↗
34. Ivanov, A. L. & Haug, H. Self-consistent theory of the biexciton optical nonlinearity. Phys. Rev. B 48, 1490–1504 (1993).10.1103/PhysRevB.48.1490 ↗
35. Katsch, F., Selig, M., Carmele, A. & Knorr, A. Theory of exciton-exciton interactions in monolayer transition metal dichalcogenides. Phys. Status Solidi 255, 1800185 (2018).10.1002/pssb.201800185 ↗
36. Sie, E. J., Frenzel, A. J., Lee, Y.-H., Kong, J. & Gedik, N. Intervalley biexcitons and many-body effects in monolayer MoS2. Phys. Rev. B 92, 125417 (2015).10.1103/PhysRevB.92.125417 ↗
37. Deckert, T. et al. Coherent coulomb intra- and intervalley many-body effects in single-layer transition metal dichalcogenides. Phys. Rev. Lett. 135, 066902 (2025).10.1103/j5cv-rffq ↗
38. Kumar, N. et al. Exciton-exciton annihilation in MoSe2 monolayers. Phys. Rev. B 89, 125427 (2014).10.1103/PhysRevB.89.125427 ↗
39. Seo, M. et al. Ultrafast optical microscopy of single monolayer molybdenum disulfide flakes. Sci. Rep. 6, 21601 (2016).10.1038/srep21601 ↗
40. Dal Conte, S. et al. Ultrafast valley relaxation dynamics in monolayer MoS2 probed by nonequilibrium optical techniques. Phys. Rev. B 92, 235425 (2015).10.1103/PhysRevB.92.235425 ↗
41. Mahmood, F., Alpichshev, Z., Lee, Y.-H., Kong, J. & Gedik, N. Observation of exciton-exciton interaction mediated valley depolarization in monolayer MoSe2. Nano Lett. 18, 223–228 (2018).10.1021/acs.nanolett.7b03953 ↗
42. Chernikov, A., Ruppert, C., Hill, H. M., Rigosi, A. F. & Heinz, T. F. Population inversion and giant bandgap renormalization in atomically thin WS2 layers. Nat. Photonics 9, 466–470 (2015).10.1038/nphoton.2015.104 ↗
43. Dendzik, M. et al. Observation of an excitonic Mott transition through ultrafast core-cum-conduction photoemission spectroscopy. Phys. Rev. Lett. 125, 096401 (2020).10.1103/PhysRevLett.125.096401 ↗
44. Hsu, W.-T. et al. Optically initialized robust valley-polarized holes in monolayer WSe2. Nat. Commun. 6, 8963 (2015).10.1038/ncomms9963 ↗
45. Fricke, J. Transport equations including many-particle correlations for an arbitrary quantum system: a general formalism. Ann. Phys. 252, 479–498 (1996).10.1006/aphy.1996.0142 ↗
46. Katsch, F., Selig, M. & Knorr, A. Exciton-scattering-induced dephasing in two-dimensional semiconductors. Phys. Rev. Lett. 124, 257402 (2020).10.1103/PhysRevLett.124.257402 ↗
47. Trovatello, C. et al. Disentangling many-body effects in the coherent optical response of 2D semiconductors. Nano Lett. 22, 5322–5329 (2022).10.1021/acs.nanolett.2c01309 ↗
48. Katsch, F., Selig, M. & Knorr, A. Theory of coherent pump–probe spectroscopy in monolayer transition metal dichalcogenides. 2D Mater. 7, 015021 (2019).10.1088/2053-1583/ab5407 ↗
49. Katzer, M. et al. Exciton-phonon scattering: competition between the bosonic and fermionic nature of bound electron-hole pairs. Phys. Rev. B 108, L121102 (2023).10.1103/PhysRevB.108.L121102 ↗
50. Policht, V. R. et al. Time-domain observation of interlayer exciton formation and thermalization in a MoSe2/WSe2 heterostructure. Nat. Commun. 14, 7273 (2023).10.1038/s41467-023-42915-x ↗
51. Thränhardt, A., Kuckenburg, S., Knorr, A., Meier, T. & Koch, S. Quantum theory of phonon-assisted exciton formation and luminescence in semiconductor quantum wells. Phys. Rev. B 62, 2706 (2000).10.1103/PhysRevB.62.2706 ↗
52. Maialle, M. Z., de Andrada e Silva, E.A. & Sham, L. Exciton spin dynamics in quantum wells. Phys. Rev. B 47, 15776 (1993).10.1103/PhysRevB.47.15776 ↗
53. Selig, M. et al. Suppression of intervalley exchange coupling in the presence of momentum-dark states in transition metal dichalcogenides. Phys. Rev. Res. 2, 023322 (2020).10.1103/PhysRevResearch.2.023322 ↗
54. Jasiński, J. et al. Control of the valley polarization of monolayer WSe2 by Dexter-like coupling. 2D Mater 11, 025007 (2024).10.1088/2053-1583/ad1ae8 ↗
55. Winkler, R. Spin-orbit Coupling Effects in Two-Dimensional Electron and Hole Systems (Springer Berlin, 2003).10.1007/b13586 ↗
56. Mittenzwey, H. et al. Ultrafast optical control of rashba interactions in a TMDC heterostructure. Phys. Rev. Lett. 134, 026901 (2025).10.1103/PhysRevLett.134.026901 ↗
57. Mittenzwey, H. & Knorr, A. Many-body Rashba spin-orbit interaction and exciton spin relaxation in atomically thin semiconductor structures. Preprint at https://doi.org/10.48550/arXiv.2509.04285 (2025).10.48550/arXiv.2509.04285 ↗
58. Slobodeniuk, A. & Basko, D. Spin-flip processes and radiative decay of dark intravalley excitons in transition metal dichalcogenide monolayers. 2D Mater 3, 035009 (2016).10.1088/2053-1583/3/3/035009 ↗
59. Zhuang, X., He, B., Javvaji, B. & Park, H. S. Intrinsic bending flexoelectric constants in two-dimensional materials. Phys. Rev. B 99, 054105 (2019).10.1103/PhysRevB.99.054105 ↗
60. Schlipf, M. & Giustino, F. Dynamic Rashba-Dresselhaus effect. Phys. Rev. Lett. 127, 237601 (2021).10.1103/PhysRevLett.127.237601 ↗
61. Lagarde, D. et al. Efficient electron spin relaxation by chiral phonons in WSe2 monolayers. Phys. Rev. B 110, 195403 (2024).10.1103/PhysRevB.110.195403 ↗
62. Chan, Y. -h. et al. Exciton thermalization dynamics in monolayer MoS2: a first-principles Boltzmann equation study. Phys. Rev. B 111, 184305 (2025).10.1103/PhysRevB.111.184305 ↗
63. Zhang, X.-W. & Cao, T. Ab initio calculations of spin-nonconserving exciton–phonon scattering in monolayer transition metal dichalcogenides. J. Phys. Condens. Matter 34, 264002 (2022).10.1088/1361-648X/ac6649 ↗
64. Kormányos, A. et al. k⋅p theory for two-dimensional transition metal dichalcogenide semiconductors. 2D Mater. 2, 022001 (2015).10.1088/2053-1583/2/2/022001 ↗
65. Liu, G.-B., Shan, W.-Y., Yao, Y., Yao, W. & Xiao, D. Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides. Phys. Rev. B 88, 085433 (2013).10.1103/PhysRevB.88.085433 ↗
66. Maja, F., Samuel, B., August, E. & Ermin, M. Brightening of spin- and momentum-dark excitons in transition metal dichalcogenides. 2D Mater. 8, 015013 (2020).
67. Jeong, T.-Y. et al. Valley depolarization in monolayer transition-metal dichalcogenides with zone-corner acoustic phonons. Nanoscale 12, 22487–22494 (2020).10.1039/D0NR04761A ↗
68. Liu, F. et al. Disassembling 2D van der Waals crystals into macroscopic monolayers and reassembling into artificial lattices. Science 367, 903–906 (2020).10.1126/science.aba1416 ↗
69. Mkrtchian, G. F., Knorr, A. & Selig, M. Theory of second-order excitonic nonlinearities in transition metal dichalcogenides. Phys. Rev. B 100, 125401 (2019).10.1103/PhysRevB.100.125401 ↗
70. Knorr, A., Hughes, S., Stroucken, T. & Koch, S. Theory of ultrafast spatio-temporal dynamics in semiconductor heterostructures. Chem. Phys. 210, 27–47 (1996).10.1016/0301-0104(96)00120-6 ↗
71. Jahnke, F., Kira, M. & Koch, S. Linear and nonlinear optical properties of excitons in semiconductor quantum wells and microcavities. Z. Phys. B Condens. Matter 104, 559–572 (1997).10.1007/s002570050490 ↗