Strain tolerance of two-dimensional crystal growth on curved surfaces
Abstract
Two-dimensional (2D) crystal growth over substrate features is fundamentally guided by the Gauss-Bonnet theorem which mandates that rigid, planar crystals cannot conform to surfaces with nonzero Gaussian curvature. Here we reveal how topographic curvature of lithographically-designed substrate features govern the strain and growth dynamics of triangular WS2 monolayer single crystals. Single crystals grow conformally without strain over deep trenches and other features with zero Gaussian curvature, however features with nonzero Gaussian curvature can easily impart sufficient strain to initiate grain boundaries and fractured growth in different directions. Within a strain tolerant regime, however, triangular single crystals can accommodate considerable (< 1.1%) localized strain exerted by surface features that shift the band gap up to 150 meV. Within this regime the crystal growth accelerates in specific directions, which we describe using a growth model. These results present a novel strategy to strain-engineer the growth directions and optoelectronic properties of 2D crystals.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Science
- Nanjing Univ. of Aeronautics and Astronautics, Nanjing (China). College of Aerospace Engineering
- Rice Univ., Houston, TX (United States). Dept. of Materials Science and NanoEngineering
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Materials Science and Engineering
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Science; Auburn Univ., Auburn, AL (United States). Dept. of Electrical and Computer Engineering
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Div.
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1574020
- Alternate Identifier(s):
- OSTI ID: 1607203
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Science Advances
- Additional Journal Information:
- Journal Volume: 5; Journal Issue: 5; Journal ID: ISSN 2375-2548
- Publisher:
- AAAS
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Wang, Kai, Puretzky, Alexander A., Hu, Zhili, Srijanto, Bernadeta R., Li, Xufan, Gupta, Nitant, Yu, Henry, Tian, Mengkun, Mahjouri-Samani, Masoud, Gao, Xiang, Oyedele, Akinola, Rouleau, Christopher M., Eres, Gyula, Yakobson, Boris I., Yoon, Mina, Xiao, Kai, and Geohegan, David B. Strain tolerance of two-dimensional crystal growth on curved surfaces. United States: N. p., 2019.
Web. doi:10.1126/sciadv.aav4028.
Wang, Kai, Puretzky, Alexander A., Hu, Zhili, Srijanto, Bernadeta R., Li, Xufan, Gupta, Nitant, Yu, Henry, Tian, Mengkun, Mahjouri-Samani, Masoud, Gao, Xiang, Oyedele, Akinola, Rouleau, Christopher M., Eres, Gyula, Yakobson, Boris I., Yoon, Mina, Xiao, Kai, & Geohegan, David B. Strain tolerance of two-dimensional crystal growth on curved surfaces. United States. https://doi.org/10.1126/sciadv.aav4028
Wang, Kai, Puretzky, Alexander A., Hu, Zhili, Srijanto, Bernadeta R., Li, Xufan, Gupta, Nitant, Yu, Henry, Tian, Mengkun, Mahjouri-Samani, Masoud, Gao, Xiang, Oyedele, Akinola, Rouleau, Christopher M., Eres, Gyula, Yakobson, Boris I., Yoon, Mina, Xiao, Kai, and Geohegan, David B. Fri .
"Strain tolerance of two-dimensional crystal growth on curved surfaces". United States. https://doi.org/10.1126/sciadv.aav4028. https://www.osti.gov/servlets/purl/1574020.
@article{osti_1574020,
title = {Strain tolerance of two-dimensional crystal growth on curved surfaces},
author = {Wang, Kai and Puretzky, Alexander A. and Hu, Zhili and Srijanto, Bernadeta R. and Li, Xufan and Gupta, Nitant and Yu, Henry and Tian, Mengkun and Mahjouri-Samani, Masoud and Gao, Xiang and Oyedele, Akinola and Rouleau, Christopher M. and Eres, Gyula and Yakobson, Boris I. and Yoon, Mina and Xiao, Kai and Geohegan, David B.},
abstractNote = {Two-dimensional (2D) crystal growth over substrate features is fundamentally guided by the Gauss-Bonnet theorem which mandates that rigid, planar crystals cannot conform to surfaces with nonzero Gaussian curvature. Here we reveal how topographic curvature of lithographically-designed substrate features govern the strain and growth dynamics of triangular WS2 monolayer single crystals. Single crystals grow conformally without strain over deep trenches and other features with zero Gaussian curvature, however features with nonzero Gaussian curvature can easily impart sufficient strain to initiate grain boundaries and fractured growth in different directions. Within a strain tolerant regime, however, triangular single crystals can accommodate considerable (< 1.1%) localized strain exerted by surface features that shift the band gap up to 150 meV. Within this regime the crystal growth accelerates in specific directions, which we describe using a growth model. These results present a novel strategy to strain-engineer the growth directions and optoelectronic properties of 2D crystals.},
doi = {10.1126/sciadv.aav4028},
journal = {Science Advances},
number = 5,
volume = 5,
place = {United States},
year = {Fri May 31 00:00:00 EDT 2019},
month = {Fri May 31 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
Stretching and Breaking of Ultrathin MoS 2
journal, November 2011
- Bertolazzi, Simone; Brivio, Jacopo; Kis, Andras
- ACS Nano, Vol. 5, Issue 12
Visualizing nanoscale excitonic relaxation properties of disordered edges and grain boundaries in monolayer molybdenum disulfide
journal, August 2015
- Bao, Wei; Borys, Nicholas J.; Ko, Changhyun
- Nature Communications, Vol. 6, Issue 1
Nonlinear elastic behavior of two-dimensional molybdenum disulfide
journal, January 2013
- Cooper, Ryan C.; Lee, Changgu; Marianetti, Chris A.
- Physical Review B, Vol. 87, Issue 3
Elastic bending modulus of single-layer molybdenum disulfide (MoS 2 ): finite thickness effect
journal, October 2013
- Jiang, Jin-Wu; Qi, Zenan; Park, Harold S.
- Nanotechnology, Vol. 24, Issue 43
A generalized field method for multiphase transformations using interface fields
journal, December 1999
- Steinbach, I.; Pezzolla, F.
- Physica D: Nonlinear Phenomena, Vol. 134, Issue 4
Strain-engineered artificial atom as a broad-spectrum solar energy funnel
journal, November 2012
- Feng, Ji; Qian, Xiaofeng; Huang, Cheng-Wei
- Nature Photonics, Vol. 6, Issue 12
Tilt Grain Boundary Topology Induced by Substrate Topography
journal, August 2017
- Yu, Henry; Gupta, Nitant; Hu, Zhili
- ACS Nano, Vol. 11, Issue 9
Strain-Induced Spatial and Spectral Isolation of Quantum Emitters in Mono- and Bilayer WSe 2
journal, October 2015
- Kumar, S.; Kaczmarczyk, A.; Gerardot, B. D.
- Nano Letters, Vol. 15, Issue 11
Interlayer Coupling in Twisted WSe 2 /WS 2 Bilayer Heterostructures Revealed by Optical Spectroscopy
journal, June 2016
- Wang, Kai; Huang, Bing; Tian, Mengkun
- ACS Nano, Vol. 10, Issue 7
Strain-induced direct–indirect bandgap transition and phonon modulation in monolayer WS2
journal, August 2015
- Wang, Yanlong; Cong, Chunxiao; Yang, Weihuang
- Nano Research, Vol. 8, Issue 8
Single quantum emitters in monolayer semiconductors
journal, May 2015
- He, Yu-Ming; Clark, Genevieve; Schaibley, John R.
- Nature Nanotechnology, Vol. 10, Issue 6
Strain and structure heterogeneity in MoS2 atomic layers grown by chemical vapour deposition
journal, November 2014
- Liu, Zheng; Amani, Matin; Najmaei, Sina
- Nature Communications, Vol. 5, Issue 1
Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995
- Plimpton, Steve
- Journal of Computational Physics, Vol. 117, Issue 1
Deformation Potentials and Mobilities in Non-Polar Crystals
journal, October 1950
- Bardeen, J.; Shockley, W.
- Physical Review, Vol. 80, Issue 1
Phonon bandgap engineering of strained monolayer MoS2
journal, January 2014
- Jiang, Jin-Wu
- Nanoscale, Vol. 6, Issue 14
Optoelectronic crystal of artificial atoms in strain-textured molybdenum disulphide
journal, June 2015
- Li, Hong; Contryman, Alex W.; Qian, Xiaofeng
- Nature Communications, Vol. 6, Issue 1
Engineering Light Outcoupling in 2D Materials
journal, January 2015
- Lien, Der-Hsien; Kang, Jeong Seuk; Amani, Matin
- Nano Letters, Vol. 15, Issue 2
Many-body and spin-orbit effects on direct-indirect band gap transition of strained monolayer MoS 2 and WS 2 : Direct-indirect band gap transition in strained monolayer MoS
journal, August 2014
- Wang, Luqing; Kutana, Alex; Yakobson, Boris I.
- Annalen der Physik, Vol. 526, Issue 9-10
Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool
journal, December 2009
- Stukowski, Alexander
- Modelling and Simulation in Materials Science and Engineering, Vol. 18, Issue 1
Identification of individual and few layers of WS2 using Raman Spectroscopy
journal, April 2013
- Berkdemir, Ayse; Gutiérrez, Humberto R.; Botello-Méndez, Andrés R.
- Scientific Reports, Vol. 3, Issue 1
Role of the Seeding Promoter in MoS 2 Growth by Chemical Vapor Deposition
journal, January 2014
- Ling, Xi; Lee, Yi-Hsien; Lin, Yuxuan
- Nano Letters, Vol. 14, Issue 2
Atomically Thin A New Direct-Gap Semiconductor
journal, September 2010
- Mak, Kin Fai; Lee, Changgu; Hone, James
- Physical Review Letters, Vol. 105, Issue 13, Article No.136805
Theory of Finite-Length Grain Boundaries of Controlled Misfit Angle in Two-Dimensional Materials
journal, August 2017
- Wang, Yuanxi; Crespi, Vincent H.
- Nano Letters, Vol. 17, Issue 9
Optical imaging of strain in two-dimensional crystals
journal, February 2018
- Mennel, Lukas; Furchi, Marco M.; Wachter, Stefan
- Nature Communications, Vol. 9, Issue 1
Thermally Strained Band Gap Engineering of Transition-Metal Dichalcogenide Bilayers with Enhanced Light–Matter Interaction toward Excellent Photodetectors
journal, September 2017
- Wang, Sheng-Wen; Medina, Henry; Hong, Kuo-Bin
- ACS Nano, Vol. 11, Issue 9
Deterministic strain-induced arrays of quantum emitters in a two-dimensional semiconductor
journal, May 2017
- Branny, Artur; Kumar, Santosh; Proux, Raphaël
- Nature Communications, Vol. 8, Issue 1
Strain engineering in semiconducting two-dimensional crystals
journal, July 2015
- Roldán, Rafael; Castellanos-Gomez, Andrés; Cappelluti, Emmanuele
- Journal of Physics: Condensed Matter, Vol. 27, Issue 31
Stress Induced Branching of Growing Crystals on Curved Surfaces
journal, April 2016
- Köhler, Christian; Backofen, Rainer; Voigt, Axel
- Physical Review Letters, Vol. 116, Issue 13
Control of biaxial strain in single-layer molybdenite using local thermal expansion of the substrate
journal, March 2015
- Plechinger, Gerd; Castellanos-Gomez, Andres; Buscema, Michele
- 2D Materials, Vol. 2, Issue 1
Strain-engineered growth of two-dimensional materials
journal, September 2017
- Ahn, Geun Ho; Amani, Matin; Rasool, Haider
- Nature Communications, Vol. 8, Issue 1
Topochemistry of Bowtie- and Star-Shaped Metal Dichalcogenide Nanoisland Formation
journal, May 2016
- Artyukhov, Vasilii I.; Hu, Zhili; Zhang, Zhuhua
- Nano Letters, Vol. 16, Issue 6
Optically active quantum dots in monolayer WSe2
journal, May 2015
- Srivastava, Ajit; Sidler, Meinrad; Allain, Adrien V.
- Nature Nanotechnology, Vol. 10, Issue 6
Chemical vapor deposition growth of a periodic array of single-layer MoS 2 islands via lithographic patterning of an SiO 2 /Si substrate
journal, December 2015
- Sun, Dezheng; Nguyen, Ariana E.; Barroso, David
- 2D Materials, Vol. 2, Issue 4
Molecular dynamics simulations of single-layer molybdenum disulphide (MoS 2 ): Stillinger-Weber parametrization, mechanical properties, and thermal conductivity
journal, August 2013
- Jiang, Jin-Wu; Park, Harold S.; Rabczuk, Timon
- Journal of Applied Physics, Vol. 114, Issue 6
Elastic Bending Modulus of Single-Layer Molybdenum Disulphide (MoS2): Finite Thickness Effect
text, January 2013
- Jiang, Jin-Wu; Qi, Zenan; Park, Harold S.
- arXiv
Single Quantum Emitters in Monolayer Semiconductors
preprint, January 2014
- He, Yu-Ming; Clark, G.; Schaibley, J. R.
- arXiv
Control of biaxial strain in single-layer Molybdenite using local thermal expansion of the substrate
text, January 2015
- Plechinger, G.; Castellanos-Gomez, A.; Buscema, M.
- arXiv
Topochemistry of Bowtie- and Star-Shaped Metal Dichalcogenide Nanoisland Formation
journal, May 2016
- Artyukhov, Vasilii I.; Hu, Zhili; Zhang, Zhuhua
- Nano Letters, Vol. 16, Issue 6
Interlayer Coupling in Twisted WSe 2 /WS 2 Bilayer Heterostructures Revealed by Optical Spectroscopy
journal, June 2016
- Wang, Kai; Huang, Bing; Tian, Mengkun
- ACS Nano, Vol. 10, Issue 7
Thermally Strained Band Gap Engineering of Transition-Metal Dichalcogenide Bilayers with Enhanced Light–Matter Interaction toward Excellent Photodetectors
journal, September 2017
- Wang, Sheng-Wen; Medina, Henry; Hong, Kuo-Bin
- ACS Nano, Vol. 11, Issue 9
Engineering Light Outcoupling in 2D Materials
journal, January 2015
- Lien, Der-Hsien; Kang, Jeong Seuk; Amani, Matin
- Nano Letters, Vol. 15, Issue 2
Stretching and Breaking of Ultrathin MoS 2
journal, November 2011
- Bertolazzi, Simone; Brivio, Jacopo; Kis, Andras
- ACS Nano, Vol. 5, Issue 12
Strain and structure heterogeneity in MoS2 atomic layers grown by chemical vapour deposition
journal, November 2014
- Liu, Zheng; Amani, Matin; Najmaei, Sina
- Nature Communications, Vol. 5, Issue 1
Visualizing nanoscale excitonic relaxation properties of disordered edges and grain boundaries in monolayer molybdenum disulfide
journal, August 2015
- Bao, Wei; Borys, Nicholas J.; Ko, Changhyun
- Nature Communications, Vol. 6, Issue 1
Strain-engineered growth of two-dimensional materials
journal, September 2017
- Ahn, Geun Ho; Amani, Matin; Rasool, Haider
- Nature Communications, Vol. 8, Issue 1
Strain engineering in semiconducting two-dimensional crystals
journal, July 2015
- Roldán, Rafael; Castellanos-Gomez, Andrés; Cappelluti, Emmanuele
- Journal of Physics: Condensed Matter, Vol. 27, Issue 31
Magic Islands in Si/Si(111) Homoepitaxy
journal, July 1998
- Voigtländer, Bert; Kästner, Martin; Šmilauer, Pavel
- Physical Review Letters, Vol. 81, Issue 4
Elastic Bending Modulus of Single-Layer Molybdenum Disulphide (MoS2): Finite Thickness Effect
text, January 2013
- Jiang, Jin-Wu; Qi, Zenan; Park, Harold S.
- arXiv
Optically Active Quantum Dots in Monolayer WSe$_2$
preprint, January 2014
- Srivastava, Ajit; Sidler, Meinrad; Allain, Adrien V.
- arXiv
Single Quantum Emitters in Monolayer Semiconductors
preprint, January 2014
- He, Yu-Ming; Clark, G.; Schaibley, J. R.
- arXiv
Deterministic strain-induced arrays of quantum emitters in a two-dimensional semiconductor
text, January 2016
- Branny, Artur; Kumar, Santosh; Proux, Raphaël
- arXiv
Optical imaging of strain in two-dimensional crystals
text, January 2019
- Mennel, Lukas; Furchi, Marco M.; Wachter, Stefan
- arXiv