-
Two-dimensional materials with tunable wrinkled structures opening up new avenue to modulate their electronic and optoelectronic properties. However, the formation mechanisms of wrinkles and their influences on the band structures and associated properties remains unclear. Here, we investigate the strain distributions, bandgap, and anisotropic energy funneling of wrinkled monolayer GeSe and their evolution with the wrinkle wavelength based on the atomic-bond-relaxation approach and continuum medium mechanics. We find that the top and valley regions of wrinkled monolayer GeSe exhibit tensile and compressive strains, respectively, and the strain increases with decreasing wrinkle wavelength. Moreover, the periodic undulation strain in the wrinkles can lead to continuously adjustable bandgaps and band edges in wrinkled monolayer GeSe. For zigzag wrinkled monolayer GeSe, when the wrinkle wavelength is large, the conduction band minimum (valence band maximum) continuously decreases (increases) from the top to the valley, forming an energy funneling. As a result, the excitons accumulate in the valley of wrinkles, and their accumulation ability increases with decreasing wrinkle wavelength. However, as the wavelength further decreases, the energy funneling will disappear, resulting in the excitons to part accumulate at the top of wrinkles and another part to accumulate at the valley of wrinkles. The critical wavelength for disappearance of energy funneling of zigzag wrinkled GeSe is 106nm. The physical origin is that when the top strain exceeds 4%, the bandgap will decrease. Due to the monotonic variation of bandgap with strain, the energy funneling effect of armchair wrinkled monolayer GeSe is still retained when the wavelength is reduced to 80 nm, and the accumulation of excitons is further enhanced. Our results demonstrate that the energy funneling effect induced by nonuniform can realize excitons accumulation in one material without the need for p-n junctions, which is of great benefit to collection of photogenerated excitons. Therefore, the proposed theory not only clarifies the physical mechanism regarding the anisotropic energy funneling effect of wrinkled monolayer GeSe, but also provides a new avenue to design next-generation optoelectronic devices.
-
Keywords:
- GeSe /
- wrinkle /
- energy funneling effect /
- atomic-bond-relaxation approach
-
[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306666
[2] Mak K F, Lee C, Hone J, Shan J, Heinz T F 2010 Phys. Rev. Lett. 105136805
[3] Li L K, Yu Y J, Ye G J, Ge Q Q, Ou X D, Wu H, Feng D L, Chen X H, Zhang Y B 2014 Nat. Nanotechnol. 9372
[4] Zhao H Q, Mao Y L, Mao X, Shi X, Xu C S, Wang C X, Zhang S M, Zhou D H 2018 Adv. Funct. Mater. 281704855
[5] Zhou X, Hu X Z, Jin B, Yu J, Liu K L, Li H Q, Zhai T Y 2018 Adv. Sci. 51800478
[6] Hu Y H, Zhang S L, Sun S F, Xie M Q, Cai B, Zeng H B 2015 Appl. Phys. Lett. 107122107
[7] Xia C X, Du J, Huang X W, Xiao W B, Xiong W Q, Wang T X, Wei Z M, Jia Y, Shi J J, Li J B 2018 Phys. Rev. B 97115416
[8] Xu Y F, Zhang H, Shao H Z, Ni G, Li J, Lu H L, Zhang R J, Peng Bo, Zhu Y Y, Zhu H Y, Soukoulis C M 2017 Phys. Rev. B 96245421
[9] Kong X, Deng J K, Li L, Liu Y L, Ding X D, Sun J, Liu J Z 2018 Phys. Rev. B 98184104
[10] Mao Y L, Xu C S, Yuan J M, Zhao H Q 2019 J. Mater. Chem. A 711265
[11] Lu Q L, Yang W H, Xiong F B, Lin H F, Zhuang Q Q 2020 Acta Phys. Sin. 69196801[卢群林, 杨伟煌, 熊飞兵, 林海峰, 庄芹芹2020物理学报69196801]
[12] Muhammad Z, Li Y L, Abbas G, Usman M, Sun Z, Zhang Y, Lv Z Y, Wang Y, Zhao W S 2022 Adv. Electron. Mater. 82101112
[13] Huang L, Wu F G, Li J B 2016 J. Chem. Phys. 144114708
[14] Li Z B, Liu X S, Wang X, Yang Y, Liu S C, Shi W, Li Y, Xing X B, Xue D J, Hu J S 2020 Phys. Chem. Chem. Phys. 22914
[15] Zuo B Min, Yuan J M, Feng Z, Mao Y L 2019 Acta Phys. Sin. 68113103[左博敏, 袁健美, 冯志, 毛宇亮2019物理学报68113103]
[16] Guo G X, Bi G 2018 Micro Nano Lett. 13600
[17] Wang J J, Zhao Y F, Zheng J D, Wang X T, Deng X, Guan Z, Ma R R Zhong Ni,Yue F Y, Wei Z M, Xiang P H, Duan C G 2021 Phys. Chem. Chem. Phys. 2326997
[18] Li Y, Ma K, Fan X, Liu F S, Li J Q, Xie H P 2020 Appl. Sur. Sci. 521146256
[19] Feng J, Qian X F, Huang C W, Li J 2012 Nat. Photonics 6866
[20] Li H, Contryman A W, Qian X F, Ardakani S Mo, Gong Y J, Wang X L, Weisse J M, Lee C H, Zhao J H, Ajayan P M, Li Ju, Manoharan H C, Zheng X L 2015 Nat. Commun. 67381
[21] Jose P S, Parente V, Guinea F, Roldán R, Prada E 2016 Phys. Rev. X 6031046
[22] Lam N H, Nguyen P, Cho S, Kim J 2023 Surf. Sci. 730122251
[23] Zheng J D, Zhao Y F, Bao Z Q, Shen Y H, Guan Z, Zhong N, Yue F Yu, Xiang P H, Duan C G 20222D Mater. 9035005
[24] Harats M G, Kirchhof J N, Qiao M X, Greben K, Bolotin K I 2020 Nat. Photonics 14324
[25] Lee J, Yun S J, Seo C, Cho K, Kim T S, An G H, Kang K, Lee H S, Kim J Y 2020 Nano Lett. 2143
[26] Wang J W, Han M J, Wang Q, Ji Y Q, Zhang X, Shi R, Wu Z F, Zhang L, Amini A, Guo L, Wang N, Lin J H, Cheng C 2021 ACS Nano 156633
[27] Hao S J, Hao Y L, Li J, Wang K Y, Fan C, Zhang S W, Wei Y H, Hao G L 2024 Appl. Phys. Lett. 125072102
[28] Dastgeer G, Afzal A M, Nazir G, Sarwar N 2021 Adv. Mater. Interfaces 82100705
[29] Song Q C, An M, Chen X D, Peng Z, Zang J F, Yang N 2016 Nanoscale 814943
[30] Ouyang G, Wang C X, Yang G W 2009 Chem. Rev. 1094221
[31] Zhu Z M, Zhang A, Ouyang G, Yang G W 2011 Appl. Phys. Lett. 98263112
[32] Dong J S, Zhao Y P, Ouyang G, Yang G W 2022 Appl. Phys. Lett. 120080501
[33] Huang R 2005 J. Mech. Phys. Solids 5363
[34] Jiang H Q, Khang D Y, Song J Z, Sun Y G, Huang Y G, Rogers J A 2007 Proc. Natl. Acad. Sci. 10415607
[35] Khang D Y, Rogers J A, Lee H H 2008 Adv. Funct. Mater. 181
[36] Iguiñiz N, Frisenda R, Bratschitsch R, Gomez A C 2019 Adv. Mater. 311807150
[37] Guo Q L, Zhang M, Xue Z Y, Ye L, Wang G, Huang G S, Mei Y F, Wang X, Di Z F 2013 Appl. Phys. Lett. 103264102
[38] Vellaa D, Bicoa J, Boudaoudb A, Romana B, Reis P M 2009 Proc. Natl. Acad. Sci. 10610901
[39] Gomez A C, Roldan R, Cappelluti E, Buscema M, Guinea F, Zant H S J, Steele G A 2013 Nano Lett. 135361
[40] Jiang J W, Zhou Y P 2017 DOI: 10.5772/intechopen.71929
[41] Sun C Q 2007 Prog. Solid State Chem. 351
[42] Zhu Y F, Jiang Q 2016 Coordin. Chem. Rev. 3261
[43] Marcus R A 1956 J. Chem. Phys. 24966
[44] Wang J H, Ding T, Gao K M, Wang L F, Zhou P W, Wu K F 2021 Nat. Commun. 126333
[45] Ghosh R, Papnai B, Chen Y S, Yadav K, Sankar R, Hsieh Y P, Hofmann M, Chen Y F 2023 Adv. Mater. 352210746
[46] Garzona L V, Frisenda R, Gomez A C 2019 Nanoscale 1112080
[47] Shang H X, Liang X, Deng F, Hu S L, Shen S P 2022 Int. J. Mech. Sci. 234107685
[48] Shang H X, Dong H T, Wu Y H, Deng F, Liang X, Hu S L, Shen S P 2024 Phys. Rev. Lett. 132116201
[49] Zhang Z, Zhao Y P, Ouyang G 2017 J. Phys. Chem. C 12119296
[50] Furchi M M, Pospischil A, Libisch F, Burgdörfer J, Mueller T 2014 Nano Lett. 144785
[51] Lee C H, Lee G H, Zande A M, Chen W C, Li Y L, Han M Y, Cui X, Arefe G, Nuckolls C, Heinz T F, Guo J, Hone J, Kim P 2014 Nat. Nanotechnol. 9676
[52] Cao G Y, Shang A X, Zhang C, Gong Y P, Li S J, Bao Q L, Li X F 2016 Nano Energy 30260
Metrics
- Abstract views: 109
- PDF Downloads: 10
- Cited By: 0