Interlayer bond polarizability model for stacking-dependent low-frequency Raman scattering in layered materials

Liang, Liangbo; Puretzky, Alexander A.; Sumpter, Bobby G.; Meunier, Vincent

doi:10.1039/c7nr05839j

Title: Interlayer bond polarizability model for stacking-dependent low-frequency Raman scattering in layered materials

Journal Article · Fri Sep 22 00:00:00 EDT 2017 · Nanoscale

DOI:https://doi.org/10.1039/c7nr05839j· OSTI ID:1399929

^[1];

^[2];

^[3]

Rensselaer Polytechnic Inst., Troy, NY (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Rensselaer Polytechnic Inst., Troy, NY (United States)

A simple model is developed to reveal the stacking dependence of Raman intensities of interlayer vibrations in 2D materials.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1399929

Journal Information:: Nanoscale, Vol. 9; ISSN 2040-3364

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 31 works

Citation information provided by
Web of Science

References (74)

Raman characterization of AB- and ABC-stacked few-layer graphene by interlayer shear modes Zhang, Xin; Han, Weng-Peng; Qiao, Xiao-Fen Carbon, Vol. 99 https://doi.org/10.1016/j.carbon.2015.11.062	journal	April 2016
Mapping of Low-Frequency Raman Modes in CVD-Grown Transition Metal Dichalcogenides: Layer Number, Stacking Orientation and Resonant Effects O’Brien, Maria; McEvoy, Niall; Hanlon, Damien Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep19476	journal	January 2016
Coupled Spin and Valley Physics in Monolayers of ${MoS}_{2}$ and Other Group-VI Dichalcogenides Xiao, Di; Liu, Gui-Bin; Feng, Wanxiang Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.196802	journal	May 2012
Relation between Photoelasticity, Electrostriction, and First-Order Raman Effect in Crystals of the Diamond Structure Maradudin, A. A.; Burstein, E. Physical Review, Vol. 164, Issue 3 https://doi.org/10.1103/PhysRev.164.1081	journal	December 1967
Interface Coupling in Twisted Multilayer Graphene by Resonant Raman Spectroscopy of Layer Breathing Modes Wu, Jiang-Bin; Hu, Zhi-Xin; Zhang, Xin ACS Nano, Vol. 9, Issue 7 https://doi.org/10.1021/acsnano.5b02502	journal	June 2015
Progress, Challenges, and Opportunities in Two-Dimensional Materials Beyond Graphene Butler, Sheneve Z.; Hollen, Shawna M.; Cao, Linyou ACS Nano, Vol. 7, Issue 4, p. 2898-2926 https://doi.org/10.1021/nn400280c	journal	March 2013
Phonon and Raman scattering of two-dimensional transition metal dichalcogenides from monolayer, multilayer to bulk material Zhang, Xin; Qiao, Xiao-Fen; Shi, Wei Chemical Society Reviews, Vol. 44, Issue 9 https://doi.org/10.1039/C4CS00282B	journal	January 2015
Spin and pseudospins in layered transition metal dichalcogenides Xu, Xiaodong; Yao, Wang; Xiao, Di Nature Physics, Vol. 10, Issue 5 https://doi.org/10.1038/nphys2942	journal	April 2014
Strongly enhanced charge-density-wave order in monolayer NbSe₂ Xi, Xiaoxiang; Zhao, Liang; Wang, Zefang Nature Nanotechnology, Vol. 10, Issue 9, p. 765-769 https://doi.org/10.1038/nnano.2015.143	journal	July 2015
Stacking-Dependent Interlayer Coupling in Trilayer MoS ₂ with Broken Inversion Symmetry Yan, Jiaxu; Xia, Juan; Wang, Xingli Nano Letters, Vol. 15, Issue 12 https://doi.org/10.1021/acs.nanolett.5b03597	journal	November 2015
Stacking-dependent band gap and quantum transport in trilayer graphene Bao, W.; Jing, L.; Velasco, J. Nature Physics, Vol. 7, Issue 12 https://doi.org/10.1038/nphys2103	journal	September 2011
Low-Frequency Interlayer Raman Modes to Probe Interface of Twisted Bilayer MoS ₂ Huang, Shengxi; Liang, Liangbo; Ling, Xi Nano Letters, Vol. 16, Issue 2 https://doi.org/10.1021/acs.nanolett.5b05015	journal	January 2016
Raman Signature of Graphene Superlattices Carozo, Victor; Almeida, Clara M.; Ferreira, Erlon H. M. Nano Letters, Vol. 11, Issue 11 https://doi.org/10.1021/nl201370m	journal	November 2011
Observation of an electrically tunable band gap in trilayer graphene Lui, Chun Hung; Li, Zhiqiang; Mak, Kin Fai Nature Physics, Vol. 7, Issue 12 https://doi.org/10.1038/nphys2102	journal	September 2011
Ultralow-frequency Raman system down to 10 cm ⁻¹ with longpass edge filters and its application to the interface coupling in t(2+2)LGs Lin, M. -L.; Ran, F. -R.; Qiao, X. -F. Review of Scientific Instruments, Vol. 87, Issue 5 https://doi.org/10.1063/1.4952384	journal	May 2016
Interlayer Electronic Coupling in Arbitrarily Stacked MoS ₂ Bilayers Controlled by Interlayer S–S Interaction Cao, Boxiao; Li, Tianshu The Journal of Physical Chemistry C, Vol. 119, Issue 2 https://doi.org/10.1021/jp5101736	journal	December 2014
The experimental observation of quantum Hall effect of l=3 chiral quasiparticles in trilayer graphene Zhang, Liyuan; Zhang, Yan; Camacho, Jorge Nature Physics, Vol. 7, Issue 12 https://doi.org/10.1038/nphys2104	journal	September 2011
The ABC of 2D materials Morpurgo, Alberto F. Nature Physics, Vol. 11, Issue 8 https://doi.org/10.1038/nphys3430	journal	July 2015
Raman spectroscopy of shear and layer breathing modes in multilayer MoS $_{2}$ Zhang, X.; Han, W. P.; Wu, J. B. Physical Review B, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevB.87.115413	journal	March 2013
Lattice vibrations and Raman scattering in two-dimensional layered materials beyond graphene Lu, Xin; Luo, Xin; Zhang, Jun Nano Research, Vol. 9, Issue 12 https://doi.org/10.1007/s12274-016-1224-5	journal	September 2016
Coupling and Stacking Order of ReS ₂ Atomic Layers Revealed by Ultralow-Frequency Raman Spectroscopy He, Rui; Yan, Jia-An; Yin, Zongyou Nano Letters, Vol. 16, Issue 2 https://doi.org/10.1021/acs.nanolett.5b04925	journal	January 2016
Interlayer interactions in anisotropic atomically thin rhenium diselenide Zhao, Huan; Wu, Jiangbin; Zhong, Hongxia Nano Research, Vol. 8, Issue 11 https://doi.org/10.1007/s12274-015-0865-0	journal	October 2015
Valley-dependent spin polarization in bulk MoS2 with broken inversion symmetry Suzuki, R.; Sakano, M.; Zhang, Y. J. Nature Nanotechnology, Vol. 9, Issue 8 https://doi.org/10.1038/nnano.2014.148	journal	July 2014
Low frequency Raman spectroscopy of few-atomic-layer thick hBN crystals Stenger, I.; Schué, L.; Boukhicha, M. 2D Materials, Vol. 4, Issue 3 https://doi.org/10.1088/2053-1583/aa77d4	journal	June 2017
The shear mode of multilayer graphene Tan, P. H.; Han, W. P.; Zhao, W. J. Nature Materials, Vol. 11, Issue 4 https://doi.org/10.1038/nmat3245	journal	February 2012
Observation of piezoelectricity in free-standing monolayer MoS2 Zhu, Hanyu; Wang, Yuan; Xiao, Jun Nature Nanotechnology, Vol. 10, Issue 2 https://doi.org/10.1038/nnano.2014.309	journal	December 2014
Raman Spectroscopy Study of Rotated Double-Layer Graphene: Misorientation-Angle Dependence of Electronic Structure Kim, Kwanpyo; Coh, Sinisa; Tan, Liang Z. Physical Review Letters, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevLett.108.246103	journal	June 2012
Raman spectroscopy as a versatile tool for studying the properties of graphene Ferrari, Andrea C.; Basko, Denis M. Nature Nanotechnology, Vol. 8, Issue 4 https://doi.org/10.1038/nnano.2013.46	journal	April 2013
Evolution of interlayer coupling in twisted molybdenum disulfide bilayers Liu, Kaihui; Zhang, Liming; Cao, Ting Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5966	journal	September 2014
First-principles Raman spectra of MoS2, WS2 and their heterostructures Liang, Liangbo; Meunier, Vincent Nanoscale, Vol. 6, Issue 10 https://doi.org/10.1039/c3nr06906k	journal	January 2014
Filter-based ultralow-frequency Raman measurement down to 2 cm ⁻¹ for fast Brillouin spectroscopy measurement Liu, Xue-Lu; Liu, He-Nan; Wu, Jiang-Bin Review of Scientific Instruments, Vol. 88, Issue 5 https://doi.org/10.1063/1.4983144	journal	May 2017
Stacking-dependent shear modes in trilayer graphene Lui, Chun Hung; Ye, Zhipeng; Keiser, Courtney Applied Physics Letters, Vol. 106, Issue 4 https://doi.org/10.1063/1.4906579	journal	January 2015
Large Frequency Change with Thickness in Interlayer Breathing Mode—Significant Interlayer Interactions in Few Layer Black Phosphorus Luo, Xin; Lu, Xin; Koon, Gavin Kok Wai Nano Letters, Vol. 15, Issue 6 https://doi.org/10.1021/acs.nanolett.5b00775	journal	May 2015
Low-Frequency Raman Fingerprints of Two-Dimensional Metal Dichalcogenide Layer Stacking Configurations Puretzky, Alexander A.; Liang, Liangbo; Li, Xufan ACS Nano, Vol. 9, Issue 6 https://doi.org/10.1021/acsnano.5b01884	journal	May 2015
Interlayer breathing and shear modes in NbSe ₂ atomic layers He, Rui; van Baren, Jeremiah; Yan, Jia-An 2D Materials, Vol. 3, Issue 3 https://doi.org/10.1088/2053-1583/3/3/031008	journal	August 2016
Identifying different stacking sequences in few-layer CVD-grown $Mo S_{2}$ by low-energy atomic-resolution scanning transmission electron microscopy Yan, Aiming; Chen, Wei; Ophus, Colin Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevB.93.041420	journal	January 2016
Tailoring the Electronic Structure in Bilayer Molybdenum Disulfide via Interlayer Twist van der Zande, Arend M.; Kunstmann, Jens; Chernikov, Alexey Nano Letters, Vol. 14, Issue 7 https://doi.org/10.1021/nl501077m	journal	June 2014
Review on the Raman spectroscopy of different types of layered materials Zhang, Xin; Tan, Qing-Hai; Wu, Jiang-Bin Nanoscale, Vol. 8, Issue 12 https://doi.org/10.1039/C5NR07205K	journal	January 2016
Stacking sequence determines Raman intensities of observed interlayer shear modes in 2D layered materials – A general bond polarizability model Luo, Xin; Lu, Xin; Cong, Chunxiao Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep14565	journal	October 2015
Revealing the Preferred Interlayer Orientations and Stackings of Two-Dimensional Bilayer Gallium Selenide Crystals Li, Xufan; Basile, Leonardo; Yoon, Mina Angewandte Chemie International Edition, Vol. 54, Issue 9 https://doi.org/10.1002/anie.201409743	journal	January 2015
Anomalous Lattice Vibrations of Single- and Few-Layer MoS ₂ Lee, Changgu; Yan, Hugen; Brus, Louis E. ACS Nano, Vol. 4, Issue 5 https://doi.org/10.1021/nn1003937	journal	March 2010
Measurement of layer breathing mode vibrations in few-layer graphene Lui, Chun Hung; Heinz, Tony F. Physical Review B, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevB.87.121404	journal	March 2013
Interlayer Breathing and Shear Modes in Few-Trilayer MoS ₂ and WSe ₂ Zhao, Yanyuan; Luo, Xin; Li, Hai Nano Letters, Vol. 13, Issue 3 https://doi.org/10.1021/nl304169w	journal	February 2013
Probing the Interlayer Coupling of Twisted Bilayer MoS ₂ Using Photoluminescence Spectroscopy Huang, Shengxi; Ling, Xi; Liang, Liangbo Nano Letters, Vol. 14, Issue 10 https://doi.org/10.1021/nl5014597	journal	September 2014
Plasma-assisted fabrication of monolayer phosphorene and its Raman characterization Lu, Wanglin; Nan, Haiyan; Hong, Jinhua Nano Research, Vol. 7, Issue 6 https://doi.org/10.1007/s12274-014-0446-7	journal	May 2014
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices Dean, C. R.; Wang, L.; Maher, P. Nature, Vol. 497, Issue 7451 https://doi.org/10.1038/nature12186	journal	May 2013
Piezoelectricity of single-atomic-layer MoS2 for energy conversion and piezotronics Wu, Wenzhuo; Wang, Lei; Li, Yilei Nature, Vol. 514, Issue 7523 https://doi.org/10.1038/nature13792	journal	October 2014
Van der Waals heterostructures Geim, A. K.; Grigorieva, I. V. Nature, Vol. 499, Issue 7459, p. 419-425 https://doi.org/10.1038/nature12385	journal	July 2013
Electric Field Effect in Atomically Thin Carbon Films Novoselov, K. S. Science, Vol. 306, Issue 5696, p. 666-669 https://doi.org/10.1126/science.1102896	journal	October 2004
Spectroscopic Signatures of AA′ and AB Stacking of Chemical Vapor Deposited Bilayer MoS ₂ Xia, Ming; Li, Bo; Yin, Kuibo ACS Nano, Vol. 9, Issue 12 https://doi.org/10.1021/acsnano.5b05474	journal	October 2015
Anisotropic Electron-Photon and Electron-Phonon Interactions in Black Phosphorus Ling, Xi; Huang, Shengxi; Hasdeo, Eddwi H. Nano Letters, Vol. 16, Issue 4 https://doi.org/10.1021/acs.nanolett.5b04540	journal	March 2016
Recent Advances in Two-Dimensional Materials beyond Graphene Bhimanapati, Ganesh R.; Lin, Zhong; Meunier, Vincent ACS Nano, Vol. 9, Issue 12 https://doi.org/10.1021/acsnano.5b05556	journal	October 2015
Raman Signatures of Polytypism in Molybdenum Disulfide Lee, Jae-Ung; Kim, Kangwon; Han, Songhee ACS Nano, Vol. 10, Issue 2 https://doi.org/10.1021/acsnano.5b05831	journal	January 2016
Low-frequency interlayer vibration modes in two-dimensional layered materials Ji, Jianting; Dong, Shan; Zhang, Anmin Physica E: Low-dimensional Systems and Nanostructures, Vol. 80 https://doi.org/10.1016/j.physe.2016.01.040	journal	June 2016
Low-Frequency Interlayer Breathing Modes in Few-Layer Black Phosphorus Ling, Xi; Liang, Liangbo; Huang, Shengxi Nano Letters, Vol. 15, Issue 6 https://doi.org/10.1021/acs.nanolett.5b01117	journal	May 2015
Crystal structure and interatomic distances in GaSe Kuhn, A.; Chevy, A.; Chevalier, R. Physica Status Solidi (a), Vol. 31, Issue 2 https://doi.org/10.1002/pssa.2210310216	journal	October 1975
Volume Bragg gratings as ultra-narrow and multiband optical filters Glebov, Alexei L.; Mokhun, Oleksiy; Rapaport, Alexandra SPIE Photonics Europe, SPIE Proceedings https://doi.org/10.1117/12.923575	conference	June 2012
Unusual Angular Dependence of the Raman Response in Black Phosphorus Ribeiro, Henrique B.; Pimenta, Marcos A.; de Matos, Christiano J. S. ACS Nano, Vol. 9, Issue 4 https://doi.org/10.1021/acsnano.5b00698	journal	February 2015
Twisted MoSe ₂ Bilayers with Variable Local Stacking and Interlayer Coupling Revealed by Low-Frequency Raman Spectroscopy Puretzky, Alexander A.; Liang, Liangbo; Li, Xufan ACS Nano, Vol. 10, Issue 2 https://doi.org/10.1021/acsnano.5b07807	journal	January 2016
Multiwall Nanotubes, Multilayers, and Hybrid Nanostructures: New Frontiers for Technology and Raman Spectroscopy Bonaccorso, Francesco; Tan, Ping-Heng; Ferrari, Andrea C. ACS Nano, Vol. 7, Issue 3 https://doi.org/10.1021/nn400758r	journal	March 2013
Observation of interlayer phonon modes in van der Waals heterostructures Lui, C. H.; Ye, Zhipeng; Ji, Chao Physical Review B, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevB.91.165403	journal	April 2015
The chemistry of two-dimensional layered transition metal dichalcogenide nanosheets Chhowalla, Manish; Shin, Hyeon Suk; Eda, Goki Nature Chemistry, Vol. 5, Issue 4, p. 263-275 https://doi.org/10.1038/nchem.1589	journal	April 2013
Trilayer graphene is a semimetal with a gate-tunable band overlap Craciun, M. F.; Russo, S.; Yamamoto, M. Nature Nanotechnology, Vol. 4, Issue 6 https://doi.org/10.1038/nnano.2009.89	journal	April 2009
Stacking effects on the electronic and optical properties of bilayer transition metal dichalcogenides ${MoS}_{2}$ , ${MoSe}_{2}$ , ${WS}_{2}$ , and ${WSe}_{2}$ He, Jiangang; Hummer, Kerstin; Franchini, Cesare Physical Review B, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevB.89.075409	journal	February 2014
Stacking in Bulk and Bilayer Hexagonal Boron Nitride Constantinescu, Gabriel; Kuc, Agnieszka; Heine, Thomas Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.036104	journal	July 2013
Raman scattering intensities in α-quartz: A first-principles investigation Umari, P.; Pasquarello, Alfredo; Dal Corso, Andrea Physical Review B, Vol. 63, Issue 9 https://doi.org/10.1103/PhysRevB.63.094305	journal	February 2001
Single-layer MoS₂ transistors Radisavljevic, B.; Radenovic, A.; Brivio, J. Nature Nanotechnology, Vol. 6, Issue 3, p. 147-150 https://doi.org/10.1038/nnano.2010.279	journal	January 2011
Observation of Van Hove singularities in twisted graphene layers Li, Guohong; Luican, A.; Lopes dos Santos, J. M. B. Nature Physics, Vol. 6, Issue 2 https://doi.org/10.1038/nphys1463	journal	November 2009
Control of valley polarization in monolayer MoS2 by optical helicity Mak, Kin Fai; He, Keliang; Shan, Jie Nature Nanotechnology, Vol. 7, Issue 8 https://doi.org/10.1038/nnano.2012.96	journal	June 2012
Monolayer behaviour in bulk ReS2 due to electronic and vibrational decoupling Tongay, Sefaattin; Sahin, Hasan; Ko, Changhyun Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4252	journal	February 2014
Valley and band structure engineering of folded MoS2 bilayers Jiang, Tao; Liu, Hengrui; Huang, Di Nature Nanotechnology, Vol. 9, Issue 10 https://doi.org/10.1038/nnano.2014.176	journal	August 2014
Low-frequency Raman modes and electronic excitations in atomically thin MoS $_{2}$ films Zeng, Hualing; Zhu, Bairen; Liu, Kai Physical Review B, Vol. 86, Issue 24 https://doi.org/10.1103/PhysRevB.86.241301	journal	December 2012
Rapid and Nondestructive Identification of Polytypism and Stacking Sequences in Few-Layer Molybdenum Diselenide by Raman Spectroscopy Lu, Xin; Utama, M. Iqbal Bakti; Lin, Junhao Advanced Materials, Vol. 27, Issue 30 https://doi.org/10.1002/adma.201501086	journal	July 2015
Polytypism and unexpected strong interlayer coupling in two-dimensional layered ReS ₂ Qiao, Xiao-Fen; Wu, Jiang-Bin; Zhou, Linwei Nanoscale, Vol. 8, Issue 15 https://doi.org/10.1039/C6NR01569G	journal	January 2016

Cited By (10)

Characterization of two‐dimensional materials from Raman spectral data Mishra, Preet; Narayan Tripathi, Laxmi Journal of Raman Spectroscopy, Vol. 51, Issue 1 https://doi.org/10.1002/jrs.5744	journal	October 2019
Laser Synthesis, Processing, and Spectroscopy of Atomically-Thin Two Dimensional Materials Geohegan, David B.; Puretzky, Alex A.; Boulesbaa, Aziz Advances in the Application of Lasers in Materials Science https://doi.org/10.1007/978-3-319-96845-2_1	book	January 2018
Cross-dimensional electron-phonon coupling in van der Waals heterostructures Lin, Miao-Ling; Zhou, Yu; Wu, Jiang-Bin Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-10400-z	journal	June 2019
Suppression of the shear Raman mode in defective bilayer MoS 2 Maguire, Pierce; Downing, Clive; Jadwiszczak, Jakub Journal of Applied Physics, Vol. 125, Issue 6 https://doi.org/10.1063/1.5086366	journal	February 2019
Band-edges and band-gap in few-layered transition metal dichalcogenides Bhunia, Hrishikesh; Pal, Amlan J. Journal of Physics D: Applied Physics, Vol. 51, Issue 21 https://doi.org/10.1088/1361-6463/aabb90	journal	May 2018
Anomalous interlayer vibrations in strongly coupled layered PdSe ₂ Puretzky, Alexander A.; Oyedele, Akinola D.; Xiao, Kai 2D Materials, Vol. 5, Issue 3 https://doi.org/10.1088/2053-1583/aabe4d	journal	May 2018
Davydov splitting and polytypism in few-layer MoS ₂ Na, Woongki; Kim, Kangwon; Lee, Jae-Ung 2D Materials, Vol. 6, Issue 1 https://doi.org/10.1088/2053-1583/aae61c	journal	October 2018
Stacking-dependent interlayer phonons in 3R and 2H MoS ₂ van Baren, Jeremiah; Ye, Gaihua; Yan, Jia-An 2D Materials, Vol. 6, Issue 2 https://doi.org/10.1088/2053-1583/ab0196	journal	February 2019
Suppression of the Shear Raman Mode in Defective Bilayer MoS2 Maguire, Pierce; Downing, Clive; Jadwiszczak, Jakub arXiv https://doi.org/10.48550/arxiv.1812.05543	text	January 2018
A Universal Length-Dependent Vibrational Mode in Graphene Nanoribbons Overbeck, Jan; Barin, Gabriela Borin; Daniels, Colin arXiv https://doi.org/10.48550/arxiv.1912.06834	text	January 2019

Similar Records

Twisted MoSe₂ bilayers with variable local stacking and interlayer coupling revealed by low-frequency Raman spectroscopy

Journal Article · Thu Jan 14 00:00:00 EST 2016 · ACS Nano · OSTI ID:1399929

Puretzky, Alexander A.; Liang, Liangbo; Li, Xufan; +4 more

Low-Frequency Shear and Layer-Breathing Modes in Raman Scattering of Two-Dimensional Materials

Journal Article · Fri Nov 03 00:00:00 EDT 2017 · ACS Nano · OSTI ID:1399929

Liang, Liangbo; Zhang, Jun; Sumpter, Bobby G.; +3 more

Stacking-dependent interlayer coupling in trilayer MoS₂ with broken inversion symmetry

Journal Article · Fri Nov 13 00:00:00 EST 2015 · Nano Letters · OSTI ID:1399929

Yan, Jiaxu; Wang, Xingli; Tay, Beng Kang; +7 more

Related Subjects

36 MATERIALS SCIENCE

Title: Interlayer bond polarizability model for stacking-dependent low-frequency Raman scattering in layered materials

Citation Formats

References (74)

Cited By (10)

Similar Records

Related Subjects