Excitonic thermalization bottleneck in twisted TMD heterostructures
Abstract: Twisted van der Waals heterostructures show an intriguing interface exciton physics including hybridization effects and emergence of moir\'e potentials. Recent experiments have revealed that moir\'e-trapped excitons exhibit a remarkable dynamics, where excited states show lifetimes that are several orders of magnitude longer than those in monolayers. The origin of this behaviour is still under debate. Based on a microscopic many-particle approach, we investigate the phonon-driven relaxation cascade of non-equilibrium moir\'e excitons in the exemplary MoSe$_2$-WSe$_2$ heterostructure. We track the exciton relaxation pathway across different moir\'e mini-bands and identify the phonon-scattering channels assisting the spatial redistribution of excitons into low-energy pockets of the moir\'e potential. We unravel a phonon bottleneck in the flat band structure at low twist angles preventing excitons to fully thermalize into the lowest state explaining the measured enhanced emission intensity of excited moir\'e excitons. Overall, our work provides important insights into exciton relaxation dynamics in flatband exciton materials.
- Yuan Liu, Nathan O Weiss, Xidong Duan, Hung-Chieh Cheng, Yu Huang, and Xiangfeng Duan, “Van der waals heterostructures and devices,” Nature Reviews Materials 1, 1–17 (2016).
- Changli Li, Qi Cao, Faze Wang, Yequan Xiao, Yanbo Li, Jean-Jacques Delaunay, and Hongwei Zhu, “Engineering graphene and tmds based van der waals heterostructures for photovoltaic and photoelectrochemical solar energy conversion,” Chemical Society Reviews 47, 4981–5037 (2018).
- Nathan P Wilson, Wang Yao, Jie Shan, and Xiaodong Xu, “Excitons and emergent quantum phenomena in stacked 2d semiconductors,” Nature 599, 383–392 (2021).
- Joakim Hagel, Samuel Brem, Christopher Linderälv, Paul Erhart, and Ermin Malic, “Exciton landscape in van der waals heterostructures,” Physical Review Research 3, 043217 (2021).
- Pasqual Rivera, John R Schaibley, Aaron M Jones, Jason S Ross, Sanfeng Wu, Grant Aivazian, Philip Klement, Kyle Seyler, Genevieve Clark, Nirmal J Ghimire, et al., “Observation of long-lived interlayer excitons in monolayer mose2–wse2 heterostructures,” Nature communications 6, 6242 (2015).
- Hong EnáLim et al., “Restoring the intrinsic optical properties of cvd-grown mos 2 monolayers and their heterostructures,” Nanoscale 11, 12798–12803 (2019).
- Philipp Merkl, Fabian Mooshammer, Philipp Steinleitner, Anna Girnghuber, K-Q Lin, Philipp Nagler, Johannes Holler, Christian Schüller, John M Lupton, Tobias Korn, et al., “Ultrafast transition between exciton phases in van der waals heterostructures,” Nature materials 18, 691–696 (2019).
- Jason S Ross, Pasqual Rivera, John Schaibley, Eric Lee-Wong, Hongyi Yu, Takashi Taniguchi, Kenji Watanabe, Jiaqiang Yan, David Mandrus, David Cobden, et al., “Interlayer exciton optoelectronics in a 2d heterostructure p–n junction,” Nano letters 17, 638–643 (2017).
- Chenhao Jin, Emma C Regan, Danqing Wang, M Iqbal Bakti Utama, Chan-Shan Yang, Jeffrey Cain, Ying Qin, Yuxia Shen, Zhiren Zheng, Kenji Watanabe, et al., “Identification of spin, valley and moiré quasi-angular momentum of interlayer excitons,” Nature Physics 15, 1140–1144 (2019a).
- Qinghai Tan, Abdullah Rasmita, Si Li, Sheng Liu, Zumeng Huang, Qihua Xiong, Shengyuan A Yang, KS Novoselov, and Wei-bo Gao, “Layer-engineered interlayer excitons,” Science Advances 7, eabh0863 (2021).
- Daniel Erkensten, Samuel Brem, Raül Perea-Causín, Joakim Hagel, Fedele Tagarelli, Edoardo Lopriore, Andras Kis, and Ermin Malic, “Electrically tunable dipolar interactions between layer-hybridized excitons,” Nanoscale (2023).
- Fedele Tagarelli, Edoardo Lopriore, Daniel Erkensten, Raül Perea-Causín, Samuel Brem, Joakim Hagel, Zhe Sun, Gabriele Pasquale, Kenji Watanabe, Takashi Taniguchi, et al., “Electrical control of hybrid exciton transport in a van der waals heterostructure,” Nature Photonics , 1–7 (2023).
- Chenhao Jin, Eric Yue Ma, Ouri Karni, Emma C Regan, Feng Wang, and Tony F Heinz, “Ultrafast dynamics in van der waals heterostructures,” Nature nanotechnology 13, 994–1003 (2018).
- Giuseppe Meneghini, Samuel Brem, and Ermin Malic, “Ultrafast phonon-driven charge transfer in van der waals heterostructures,” Natural Sciences 2, e20220014 (2022).
- David Schmitt, Jan Philipp Bange, Wiebke Bennecke, AbdulAziz AlMutairi, Giuseppe Meneghini, Kenji Watanabe, Takashi Taniguchi, Daniel Steil, D Russell Luke, R Thomas Weitz, et al., “Formation of moiré interlayer excitons in space and time,” Nature 608, 499–503 (2022).
- Kin Fai Mak and Jie Shan, “Semiconductor moiré materials,” Nature Nanotechnology 17, 686–695 (2022).
- Eva Y Andrei, Dmitri K Efetov, Pablo Jarillo-Herrero, Allan H MacDonald, Kin Fai Mak, T Senthil, Emanuel Tutuc, Ali Yazdani, and Andrea F Young, “The marvels of moiré materials,” Nature Reviews Materials 6, 201–206 (2021).
- Kha Tran, Galan Moody, Fengcheng Wu, Xiaobo Lu, Junho Choi, Kyounghwan Kim, Amritesh Rai, Daniel A Sanchez, Jiamin Quan, Akshay Singh, et al., “Evidence for moiré excitons in van der waals heterostructures,” Nature 567, 71–75 (2019).
- Samuel Brem, Christopher Linderälv, Paul Erhart, and Ermin Malic, “Tunable phases of moiré excitons in van der waals heterostructures,” Nano letters 20, 8534–8540 (2020a).
- Di Huang, Junho Choi, Chih-Kang Shih, and Xiaoqin Li, “Excitons in semiconductor moiré superlattices,” Nature Nanotechnology 17, 227–238 (2022).
- Wonbong Choi, Nitin Choudhary, Gang Hee Han, Juhong Park, Deji Akinwande, and Young Hee Lee, “Recent development of two-dimensional transition metal dichalcogenides and their applications,” Materials Today 20, 116–130 (2017).
- Hongyi Yu, Gui-Bin Liu, Jianju Tang, Xiaodong Xu, and Wang Yao, “Moiré excitons: From programmable quantum emitter arrays to spin-orbit–coupled artificial lattices,” Science advances 3, e1701696 (2017).
- Kha Tran, Junho Choi, and Akshay Singh, “Moiré and beyond in transition metal dichalcogenide twisted bilayers,” 2D Materials 8, 022002 (2020).
- Yuya Shimazaki, Ido Schwartz, Kenji Watanabe, Takashi Taniguchi, Martin Kroner, and Ataç Imamoğlu, “Strongly correlated electrons and hybrid excitons in a moiré heterostructure,” Nature 580, 472–477 (2020).
- Lei Wang, En-Min Shih, Augusto Ghiotto, Lede Xian, Daniel A Rhodes, Cheng Tan, Martin Claassen, Dante M Kennes, Yusong Bai, Bumho Kim, et al., “Correlated electronic phases in twisted bilayer transition metal dichalcogenides,” Nature materials 19, 861–866 (2020).
- Fengcheng Wu, Timothy Lovorn, Emanuel Tutuc, and Allan H MacDonald, “Hubbard model physics in transition metal dichalcogenide moiré bands,” Physical review letters 121, 026402 (2018).
- Dominik Kiese, Yuchi He, Ciarán Hickey, Angel Rubio, and Dante M Kennes, “Tmds as a platform for spin liquid physics: A strong coupling study of twisted bilayer wse2,” APL Materials 10 (2022).
- Yanhao Tang, Lizhong Li, Tingxin Li, Yang Xu, Song Liu, Katayun Barmak, Kenji Watanabe, Takashi Taniguchi, Allan H MacDonald, Jie Shan, et al., “Simulation of hubbard model physics in wse2/ws2 moiré superlattices,” Nature 579, 353–358 (2020).
- Emma C Regan, Danqing Wang, Chenhao Jin, M Iqbal Bakti Utama, Beini Gao, Xin Wei, Sihan Zhao, Wenyu Zhao, Zuocheng Zhang, Kentaro Yumigeta, et al., “Mott and generalized wigner crystal states in wse2/ws2 moiré superlattices,” Nature 579, 359–363 (2020).
- Tingxin Li, Shengwei Jiang, Lizhong Li, Yang Zhang, Kaifei Kang, Jiacheng Zhu, Kenji Watanabe, Takashi Taniguchi, Debanjan Chowdhury, Liang Fu, et al., “Continuous mott transition in semiconductor moiré superlattices,” Nature 597, 350–354 (2021a).
- Wu Shi, Jianting Ye, Yijin Zhang, Ryuji Suzuki, Masaro Yoshida, Jun Miyazaki, Naoko Inoue, Yu Saito, and Yoshihiro Iwasa, “Superconductivity series in transition metal dichalcogenides by ionic gating,” Scientific Reports 5, 12534 (2015).
- Dong Qiu, Chuanhui Gong, SiShuang Wang, Miao Zhang, Chao Yang, Xianfu Wang, and Jie Xiong, “Recent advances in 2d superconductors,” Advanced Materials 33, 2006124 (2021).
- Haining Pan, Fengcheng Wu, and Sankar Das Sarma, “Quantum phase diagram of a moiré-hubbard model,” Physical Review B 102, 201104 (2020).
- Niclas Götting, Frederik Lohof, and Christopher Gies, “Moiré-bose-hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures,” Physical Review B 105, 165419 (2022).
- Yang Xu, Kaifei Kang, Kenji Watanabe, Takashi Taniguchi, Kin Fai Mak, and Jie Shan, “A tunable bilayer hubbard model in twisted wse2,” Nature Nanotechnology 17, 934–939 (2022).
- Junho Choi, Matthias Florian, Alexander Steinhoff, Daniel Erben, Kha Tran, Dong Seob Kim, Liuyang Sun, Jiamin Quan, Robert Claassen, Somak Majumder, et al., “Twist angle-dependent interlayer exciton lifetimes in van der waals heterostructures,” Physical Review Letters 126, 047401 (2021).
- Zidong Li, Xiaobo Lu, Darwin F Cordovilla Leon, Zhengyang Lyu, Hongchao Xie, Jize Hou, Yanzhao Lu, Xiaoyu Guo, Austin Kaczmarek, Takashi Taniguchi, et al., “Interlayer exciton transport in mose2/wse2 heterostructures,” ACS nano 15, 1539–1547 (2021b).
- Chenhao Jin, Emma C Regan, Aiming Yan, M Iqbal Bakti Utama, Danqing Wang, Sihan Zhao, Ying Qin, Sijie Yang, Zhiren Zheng, Shenyang Shi, et al., “Observation of moiré excitons in wse2/ws2 heterostructure superlattices,” Nature 567, 76–80 (2019b).
- Samuel Brem and Ermin Malic, “Bosonic delocalization of dipolar moiré excitons,” Nano Letters (2023).
- Simon Ovesen, Samuel Brem, Christopher Linderälv, Mikael Kuisma, Tobias Korn, Paul Erhart, Malte Selig, and Ermin Malic, “Interlayer exciton dynamics in van der waals heterostructures,” Communications Physics 2, 1–8 (2019).
- Samuel Brem, Kai-Qiang Lin, Roland Gillen, Jonas M Bauer, Janina Maultzsch, John M Lupton, and Ermin Malic, “Hybridized intervalley moiré excitons and flat bands in twisted wse 2 bilayers,” Nanoscale 12, 11088–11094 (2020b).
- E Cappelluti, Rafael Roldán, JA Silva-Guillén, Pablo Ordejón, and F Guinea, “Tight-binding model and direct-gap/indirect-gap transition in single-layer and multilayer mos 2,” Physical Review B 88, 075409 (2013).
- Roland Gillen and Janina Maultzsch, “Interlayer excitons in MoSe2subscriptMoSe2\mathrm{MoSe}_{2}roman_MoSe start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT/WSe2subscriptWSe2\mathrm{WSe}_{2}roman_WSe start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT heterostructures from first principles,” Physical Review B 97, 165306 (2018).
- Philipp Merkl, Fabian Mooshammer, Samuel Brem, Anna Girnghuber, Kai-Qiang Lin, Leonard Weigl, Marlene Liebich, Chaw-Keong Yong, Roland Gillen, Janina Maultzsch, et al., “Twist-tailoring coulomb correlations in van der waals homobilayers,” Nature Communications 11, 1–7 (2020).
- A Thränhardt, S Kuckenburg, A Knorr, T Meier, and SW Koch, “Quantum theory of phonon-assisted exciton formation and luminescence in semiconductor quantum wells,” Physical Review B 62, 2706 (2000).
- Hartmut Haug and Stephan W Koch, Quantum theory of the optical and electronic properties of semiconductors (World Scientific Publishing Company, 2009).
- Malte Selig, Gunnar Berghäuser, Marten Richter, Rudolf Bratschitsch, Andreas Knorr, and Ermin Malic, “Dark and bright exciton formation, thermalization, and photoluminescence in monolayer transition metal dichalcogenides,” 2D Materials 5, 035017 (2018).
- Samuel Brem, Malte Selig, Gunnar Berghaeuser, and Ermin Malic, “Exciton relaxation cascade in two-dimensional transition metal dichalcogenides,” Scientific reports 8, 1–8 (2018).
- D. Erkensten, S. Brem, K. Wagner, R. Gillen, R. Perea-Causin, J. D. Ziegler, T. Taniguchi, K. Watanabe, J. Maultzsch, and A. Chernikov und E. Malic, “Dark exciton-exciton annihilation in monolayer transition-metal dichalcogenides,” Phys. Rev. B 104, L241406 (2021).
- Fausto Rossi and Tilmann Kuhn, “Theory of ultrafast phenomena in photoexcited semiconductors,” Reviews of Modern Physics 74, 895 (2002).
- Astrid Weston, Yichao Zou, Vladimir Enaldiev, Alex Summerfield, Nicholas Clark, Viktor Zólyomi, Abigail Graham, Celal Yelgel, Samuel Magorrian, Mingwei Zhou, et al., “Atomic reconstruction in twisted bilayers of transition metal dichalcogenides,” Nature Nanotechnology 15, 592–597 (2020).
- Qinghai Tan, Abdullah Rasmita, Zhaowei Zhang, KS Novoselov, and Wei-bo Gao, “Signature of cascade transitions between interlayer excitons in a moiré superlattice,” Physical Review Letters 129, 247401 (2022).
- Ying Jiang, Shula Chen, Weihao Zheng, Biyuan Zheng, and Anlian Pan, “Interlayer exciton formation, relaxation, and transport in tmd van der waals heterostructures,” Light: Science & Applications 10, 72 (2021).
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