- Open Access
Ultrafast dynamics in single crystals: From quasi-flat-band-mediated carrier recombination to thermally triggered coherent acoustic phonons
Phys. Rev. Research 8, 033176 – Published 14 August, 2026
DOI: https://doi.org/10.1103/87mq-t3yf
Abstract
Carriers in flat bands (FBs) possess high effective masses and are predicted to exhibit unconventional transport properties. The study of the photocarrier dynamics in FBs is of fundamental importance for understanding many-body interactions and the emergence of exotic quantum phenomena. , a layered transition-metal dichalcogenide featuring a quasiflat band near the Fermi level, provides an ideal platform for investigating nonequilibrium carrier dynamics in electronic flat-band systems. Here, we employed transient absorption microscopy to uncover a picosecond, quasi-flat-band-mediated bimolecular recombination of photoexcited electrons and holes confined within the flat-band states in the 80–295 K experimental window. In addition, the launch of coherent acoustic phonons in crystals at 45 GHz is demonstrated, from which sound velocity and Young's modulus are determined to be 4.39 and 62 GPa, agreeing well with the prediction from the first-principles calculation. The present study provides microscopic insight into ultrafast energy relaxation and the associated phonon generation in layered materials.
Physics Subject Headings (PhySH)
Article Text
References (74)
- 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).
- W. Zhao, R. M. Ribeiro, and G. Eda, Electronic structure and optical signatures of semiconducting transition metal dichalcogenide nanosheets, Acc. Chem. Res. 48, 91 (2015).
- L. Debbichi, O. Eriksson, and S. Lebègue, Electronic structure of two-dimensional transition metal dichalcogenide bilayers from ab initio theory, Phys. Rev. B 89, 205311 (2014).
- C. Zhang et al., Systematic study of electronic structure and band alignment of monolayer transition metal dichalcogenides in Van der Waals heterostructures, 2D Mater. 4, 015026 (2017).
- T. Chowdhury, E. C. Sadler, and T. J. Kempa, Progress and prospects in transition-metal dichalcogenide research beyond 2D, Chem. Rev. 120, 12563 (2020).
- Y. Luo et al., Strong light-matter coupling in van der Waals materials, Light Sci. Appl. 13, 203 (2024).
- P. Xie, Y. Wu, Y. Li, P. Chang, H. Zhang, and W. Wang, Strong light-matter interactions in hybrid nanostructures with transition metal dichalcogenides, J. Opt. 24, 093001 (2022).
- J. Pei, J. Yang, T. Yildirim, H. Zhang, and Y. Lu, Many-body complexes in 2D semiconductors, Adv. Mater. 31, 1706945 (2019).
- M. Sidler, Many-body effects in optical excitations of transition metal dichalcogenides, Ph.D. thesis, ETH Zurich, 2018.
- A. Sharma, H. Yan, L. Zhang, X. Sun, B. Liu, and Y. Lu, Highly enhanced many-body interactions in anisotropic 2D semiconductors, Acc. Chem. Res. 51, 1164 (2018).
- B. Povilus, R. Sailus, J. Kopaczek, S. Feng, M. Y. Sayyad, S. T. R. Moosavy, H. Ruddick, S. Yang, and S. A. Tongay, Experimentally establishing the optical dielectric function of 2D Janus TMDs, Appl. Phys. Lett. 127, 163102 (2025).
- 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).
- A. Ramasubramaniam, D. Naveh, and E. Towe, Tunable band gaps in bilayer transition-metal dichalcogenides, Phys. Rev. B 84, 205325 (2011).
- H. Terrones, F. López-Urías, and M. Terrones, Novel hetero-layered materials with tunable direct band gaps by sandwiching different metal disulfides and diselenides, Sci. Rep. 3, 1549 (2013).
- Z. Ma, Z. Hu, X. Zhao, Q. Tang, D. Wu, Z. Zhou, and L. Zhang, Tunable band structures of heterostructured bilayers with transition-metal dichalcogenide and MXene monolayer, J. Phys. Chem. C 118, 5593 (2014).
- T. Chu, H. Ilatikhameneh, G. Klimeck, R. Rahman, and Z. Chen, Electrically tunable bandgaps in bilayer , Nano Lett. 15, 8000 (2015).
- E. Li, F. Wang, Z. Cui, D. Ma, Y. Shen, P. Shen, H. Zhao, and Y. Tang, Electronic properties of van der Waals heterostructures based on F-GaN-H stacking and TMDs single layer, Vacuum 206, 111546 (2022).
- H. Guo, Z. Hu, Z. Liu, and J. Tian, Stacking of 2D materials, Adv. Funct. Mater. 31, 2007810 (2021).
- M.-H. Chiu, M.-Y. Li, W. Zhang, W.-T. Hsu, W.-H. Chang, M. Terrones, H. Terrones, and L.-J. Li, Spectroscopic signatures for interlayer coupling in van der Waals stacking, ACS Nano 8, 9649 (2014).
- N. Choudhary, J. Park, J. Y. Hwang, H.-S. Chung, K. H. Dumas, S. I. Khondaker, W. Choi, and Y. Jung, Centimeter scale patterned growth of vertically stacked few layer only 2D / van der Waals heterostructure, Sci. Rep. 6, 25456 (2016).
- J. F. R. V. Silveira, R. Besse, and J. L. F. Da Silva, Stacking order effects on the electronic and optical properties of graphene/transition metal dichalcogenide van der Waals heterostructures, ACS Appl. Electron. Mater. 3, 1671 (2021).
- C. C. Price, N. C. Frey, D. Jariwala, and V. B. Shenoy, Engineering zero-dimensional quantum confinement in transition-metal dichalcogenide heterostructures, ACS Nano 13, 8303 (2019).
- G. Wei, D. A. Czaplewski, E. J. Lenferink, T. K. Stanev, I. W. Jung, and N. P. Stern, Size-tunable lateral confinement in monolayer semiconductors, Sci. Rep. 7, 3324 (2017).
- Y. Jiang, H. Xie, L. Han, Y. Zhang, Y. Ding, S. Shen, B. Chen, and M. Ni, Advances in for energy storage, electronic devices, and catalysis: A review, Prog. Nat. Sci.: Mater. Int. 33, 133 (2023).
- C. M. Fang, R. A. de Groot, and C. Haas, Bulk and surface electronic structure of 1T– and 1T–, Phys. Rev. B 56, 4455 (1997).
- S. Suga, C. Tusche, Y. Matsushita, M. Ellguth, A. Irizawa, and J. Kirschner, Momentum microscopy of the layered semiconductor and Ni intercalated , New J. Phys. 17, 083010 (2015).
- A. H. Reshak and S. Auluck, Electronic and optical properties of the 1T phases of , , and , Phys. Rev. B 68, 245113 (2003).
- J. Zeb, X. Zhao, S. Ullah, M. G. Menezes, and W. Zhang, Tunable optoelectronic properties in multilayer 1T–: The effects of strain and an external electric field, J. Mater. Sci. 56, 6891 (2021).
- R. Bistritzer and A. H. MacDonald, Moiré bands in twisted double-layer graphene, Proc. Natl. Acad. Sci. USA 108, 12233 (2011).
- G. Tarnopolsky, A. J. Kruchkov, and A. Vishwanath, Origin of magic angles in twisted bilayer graphene, Phys. Rev. Lett. 122, 106405 (2019).
- Z. Song, Z. Wang, W. Shi, G. Li, C. Fang, and B. A. Bernevig, All magic angles in twisted bilayer graphene are topological, Phys. Rev. Lett. 123, 036401 (2019).
- A. Kerelsky et al., Maximized electron interactions at the magic angle in twisted bilayer graphene, Nature (London) 572, 95 (2019).
- T. Bilitewski and R. Moessner, Disordered flat bands on the kagome lattice, Phys. Rev. B 98, 235109 (2018).
- Y. Zong, S. Xia, L. Tang, D. Song, Y. Hu, Y. Pei, J. Su, Y. Li, and Z. Chen, Observation of localized flat-band states in kagome photonic lattices, Opt. Express 24, 8877 (2016).
- M. Kang et al., Topological flat bands in frustrated kagome lattice CoSn, Nat. Commun. 11, 4004 (2020).
- Z. Li et al., Realization of flat band with possible nontrivial topology in electronic kagome lattice, Sci. Adv. 4, eaau4511 (2018).
- T. Rohwer et al., Collapse of long-range charge order tracked by time-resolved photoemission at high momenta, Nature (London) 471, 490 (2011).
- S. Mathias et al., Self-amplified photo-induced gap quenching in a correlated electron material, Nat. Commun. 7, 12902 (2016).
- C. Monney et al., Revealing the role of electrons and phonons in the ultrafast recovery of charge density wave correlations in 1T−, Phys. Rev. B 94, 165165 (2016).
- X.-F. Tang et al., Three-dimensional Fermi surface and electron-phonon coupling in semimetallic 1T– studied by angle-resolved photoemission spectroscopy, Phys. Rev. B 99, 125112 (2019).
- S.-X. Zhu et al., Temperature evolution of quasiparticle dispersion and dynamics in semimetallic 1T− via high-resolution angle-resolved photoemission spectroscopy and ultrafast optical pump-probe spectroscopy, Phys. Rev. B 103, 115108 (2021).
- J. Hasaien, Y. Wu, M. Shi, Y. Zhai, Q. Wu, Z. Liu, Y. Zhou, X. Chen, and J. Zhao, Emergent quantum state unveiled by ultrafast collective dynamics in , Proc. Natl. Acad. Sci. USA 122, e2406464122 (2025).
- K. Zhang, H. Jiang, J. Yang, J. Zhang, Z. Zeng, X. Chen, and F. Su, Pressure effects on the lattice vibrations and ultrafast photocarrier dynamics in , Appl. Phys. Lett. 117, 101105 (2020).
- E. A. A. Pogna et al., Photo-induced bandgap renormalization governs the ultrafast response of single-layer , ACS Nano 10, 1182 (2016).
- S. Boandoh et al., Ultrafast pump–probe microscopy on 2D transition metal dichalcogenides, Adv. Photon. Res. 3, 2200046 (2022).
- Q. Wang, S. Ge, X. Li, J. Qiu, Y. Ji, J. Feng, and D. Sun, Valley carrier dynamics in monolayer molybdenum disulfide from helicity-resolved ultrafast pump–probe spectroscopy, ACS Nano 7, 11087 (2013).
- S. Kar, Y. Su, R. R. Nair, and A. K. Sood, Probing photoexcited carriers in a few-layer laminate by time-resolved optical pump–terahertz probe spectroscopy, ACS Nano 9, 12004 (2015).
- W. Lin, Y. Shi, X. Yang, J. Li, E. Cao, X. Xu, T. Pullerits, W. Liang, and M. Sun, Physical mechanism on exciton-plasmon coupling revealed by femtosecond pump-probe transient absorption spectroscopy, Mater. Today Phys. 3, 33 (2017).
- H. Wang, C. Zhang, and F. Rana, Ultrafast dynamics of defect-assisted electron–hole recombination in monolayer , Nano Lett. 15, 339 (2015).
- Y. Wang, Z. Guo, J. You, Z. Zhang, X. Zheng, and X. Cheng, Ultrafast nonlinear optical excitation behaviors of mono- and few-layer two dimensional , Photon. Sens. 9, 1 (2019).
- A. Rodek et al., Local field effects in ultrafast light–matter interaction measured by pump-probe spectroscopy of monolayer , Nanophotonics 10, 2717 (2021).
- Z. Nie et al., Broadband nonlinear optical response of monolayer under ultrafast excitation, Appl. Phys. Lett. 112, 031108 (2018).
- F. Ceballos, M. Z. Bellus, H.-Y. Chiu, and H. Zhao, Probing charge transfer excitons in a van der Waals heterostructure, Nanoscale 7, 17523 (2015).
- Y.-K. Zhou, X.-Z. Li, Q.-N. Zhou, R.-H. Xing, Y. Zhang, B. Bai, H.-H. Fang, and H.-B. Sun, Transient superdiffusion of energetic carriers in transition metal dichalcogenides visualized by ultrafast pump-probe microscopy, Ultrafast Sci. 2022, 0002 (2022).
- C. P. Walsh, J. P. Malizia, S. C. Sutton, J. M. Papanikolas, and J. F. Cahoon, Monolayer-like exciton recombination dynamics of multilayer observed by pump–probe microscopy, Nano Lett. 24, 1431 (2024).
- X.-F. Tang et al., Growth, characterization, and Raman spectra of the 1T phases of , , and , Chin. Phys. B 31, 037103 (2022).
- S. Manzoor, M. Talib, S. M. Novikov, A. V. Arsenin, V. S. Volkov, and P. Mishra, Physisorption-mediated charge transfer in nanodiscs: A room temperature sensor for highly sensitive and reversible carbon dioxide detection, ACS Sens. 8, 3435 (2023).
- K. Wilczyński, A. P. Gertych, and M. Zdrojek, Explaining mysterious “shoulder” Raman band in by temperature-dependent anharmonicity and defects, J. Phys. Chem. C 127, 20870 (2023).
- D. Suri, V. Siva, S. Joshi, K. Senapati, P. K. Sahoo, S. Varma, and R. S. Patel, A study of electron and thermal transport in layered titanium disulphide single crystals, J. Phys.: Condens. Matter 29, 485708 (2017).
- P. Suo et al., Ultrafast photocarrier and coherent phonon dynamics in type-II Dirac semimetal thin films probed by optical spectroscopy, Photon. Res. 10, 653 (2022).
- G. A. Benesh, A. M. Woolley, and C. Umrigar, The pressure dependences of and band structures, J. Phys. C: Solid State Phys. 18, 1595 (1985).
- K. Sun, H. Ma, W. Xia, P. Suo, W. Zhang, Y. Zou, X. Lin, S. Zhang, Y. Guo, and G. Ma, Dynamical response of nonlinear optical anisotropy in a tin sulfide crystal under ultrafast photoexcitation, J. Phys. Chem. Lett. 13, 9355 (2022).
- S. Ge, X. Liu, X. Qiao, Q. Wang, Z. Xu, J. Qiu, P.-H. Tan, J. Zhao, and D. Sun, Coherent longitudinal acoustic phonon approaching THz frequency in multilayer molybdenum disulphide, Sci. Rep. 4, 5722 (2014).
- D. Li, J. Fu, P. Suo, W. Zhang, B. Lu, X. Lin, X. Yan, B. Li, G. Ma, and J. Yao, Layer dependent interlayer coherent phonon dynamics in films, Appl. Phys. Lett. 118, 191105 (2021).
- A. Singh, Y. Li, B. Fodor, L. Makai, J. Zhou, H. Xu, A. Akey, J. Li, and R. Jaramillo, Near-infrared optical properties and proposed phase-change usefulness of transition metal disulfides, Appl. Phys. Lett. 115, 161902 (2019).
- A. A. Haidry, F. Ghani, Q. Fatima, M. K. Usmani, Q. Ali, A. Raza, M. Sajjad, and G. Naz, Unveiling the optoelectronic properties of bulk, monolayer, and bilayer : A DFT approach, Mater. Today Commun. 41, 110601 (2024).
- H. Imai, Y. Shimakawa, and Y. Kubo, Large thermoelectric power factor in crystal with nearly stoichiometric composition, Phys. Rev. B 64, 241104(R) (2001).
- R. P. Beyer, Heat capacities of titanium disulfide from 5.87 to 300.7 K, J. Chem. Eng. Data 28, 347 (1983).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- 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).
- 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. Tanwar, U. Paliwal, K. B. Joshi, and J. Kumar, First-principles study of structural, electronic and vibrational properties of bulk and monolayer , J. Phys. Chem. Solids 179, 111382 (2023).
- D. R. Allan, A. A. Kelsey, S. J. Clark, R. J. Angel, and G. J. Ackland, High-pressure semiconductor-semimetal transition in , Phys. Rev. B 57, 5106 (1998).