Bright and dark singlet excitons via linear and two-photon spectroscopy in monolayer transition metal dichalcogenides

Berkelbach, Timothy C.; Hybertsen, Mark S.; Reichmann, David R.

doi:10.1103/PhysRevB.92.085413

Title: Bright and dark singlet excitons via linear and two-photon spectroscopy in monolayer transition metal dichalcogenides

Journal Article · Mon Aug 10 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI: https://doi.org/10.1103/PhysRevB.92.085413 · OSTI ID:1213377

Berkelbach, Timothy C. ^[1]; Hybertsen, Mark S. ^[2]; Reichmann, David R. ^[3]

Princeton Univ., Princeton, NJ (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Columbia Univ., New York, NY (United States)

We discuss the linear and two-photon spectroscopic selection rules for spin-singlet excitons in monolayer transition-metal dichalcogenides. Our microscopic formalism combines a fully k-dependent few-orbital band structure with a many-body Bethe-Salpeter equation treatment of the electron-hole interaction, using a model dielectric function. We show analytically and numerically that the single-particle, valley-dependent selection rules are preserved in the presence of excitonic effects. Furthermore, we definitively demonstrate that the bright (one-photon allowed) excitons have s-type azimuthal symmetry and that dark p-type excitons can be probed via two-photon spectroscopy. Thus, the screened Coulomb interaction in these materials substantially deviates from the 1/ε₀r form; this breaks the “accidental” angular momentum degeneracy in the exciton spectrum, such that the 2p exciton has a lower energy than the 2s exciton by at least 50 meV. We compare our calculated two-photon absorption spectra to recent experimental measurements.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

OSTI ID:: 1213377

Report Number(s):: BNL--108047-2015-JA; KC0403020

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 8 Vol. 92; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (64)

Direct Imaging of Band Profile in Single Layer MoS ₂ on Graphite: Quasiparticle Energy Gap, Metallic Edge States, and Edge Band Bending Zhang, Chendong; Johnson, Amber; Hsu, Chang-Lung Nano Letters, Vol. 14, Issue 5 https://doi.org/10.1021/nl501133c	journal	April 2014
Observation of Excitonic Rydberg States in Monolayer MoS ₂ and WS ₂ by Photoluminescence Excitation Spectroscopy Hill, Heather M.; Rigosi, Albert F.; Roquelet, Cyrielle Nano Letters, Vol. 15, Issue 5 https://doi.org/10.1021/nl504868p	journal	April 2015
Emerging Photoluminescence in Monolayer MoS₂ Splendiani, Andrea; Sun, Liang; Zhang, Yuanbo Nano Letters, Vol. 10, Issue 4, p. 1271-1275 https://doi.org/10.1021/nl903868w	journal	April 2010
Probing excitonic dark states in single-layer tungsten disulphide Ye, Ziliang; Cao, Ting; O’Brien, Kevin Nature, Vol. 513, Issue 7517 https://doi.org/10.1038/nature13734	journal	August 2014
Electrical control of neutral and charged excitons in a monolayer semiconductor Ross, Jason S.; Wu, Sanfeng; Yu, Hongyi Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2498	journal	February 2013
The rise of graphene Geim, A. K.; Novoselov, K. S. Nature Materials, Vol. 6, Issue 3, p. 183-191 https://doi.org/10.1038/nmat1849	journal	March 2007
Tightly bound trions in monolayer MoS2 Mak, Kin Fai; He, Keliang; Lee, Changgu Nature Materials, Vol. 12, Issue 3 https://doi.org/10.1038/nmat3505	journal	December 2012
Giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor Ugeda, Miguel M.; Bradley, Aaron J.; Shi, Su-Fei Nature Materials, Vol. 13, Issue 12 https://doi.org/10.1038/nmat4061	journal	August 2014
Valley polarization in MoS2 monolayers by optical pumping Zeng, Hualing; Dai, Junfeng; Yao, Wang Nature Nanotechnology, Vol. 7, Issue 8 https://doi.org/10.1038/nnano.2012.95	journal	June 2012
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
Optical generation of excitonic valley coherence in monolayer WSe2 Jones, Aaron M.; Yu, Hongyi; Ghimire, Nirmal J. Nature Nanotechnology, Vol. 8, Issue 9 https://doi.org/10.1038/nnano.2013.151	journal	August 2013
Observation of biexcitons in monolayer WSe2 You, Yumeng; Zhang, Xiao-Xiao; Berkelbach, Timothy C. Nature Physics, Vol. 11, Issue 6 https://doi.org/10.1038/nphys3324	journal	May 2015
An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies Momeni, Ali; Rouhi, Kasra; Rajabalipanah, Hamid Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-24553-2	journal	April 2018
Intensity of Optical Absorption by Excitons Elliott, R. J. Physical Review, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRev.108.1384	journal	December 1957
Theory of Two-Photon Spectroscopy in Solids Mahan, G. D. Physical Review, Vol. 170, Issue 3 https://doi.org/10.1103/PhysRev.170.825	journal	June 1968
Two-photon absorption in quantum-well structures near half the direct band gap Shimizu, Akira Physical Review B, Vol. 40, Issue 2 https://doi.org/10.1103/PhysRevB.40.1403	journal	July 1989
Electron-hole excitations and optical spectra from first principles Rohlfing, Michael; Louie, Steven G. Physical Review B, Vol. 62, Issue 8 https://doi.org/10.1103/PhysRevB.62.4927	journal	August 2000
Optical matrix elements in tight-binding calculations Pedersen, Thomas Garm; Pedersen, Kjeld; Brun Kriestensen, Thomas Physical Review B, Vol. 63, Issue 20 https://doi.org/10.1103/PhysRevB.63.201101	journal	May 2001
Theory of neutral and charged excitons in monolayer transition metal dichalcogenides Berkelbach, Timothy C.; Hybertsen, Mark S.; Reichman, David R. Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevB.88.045318	journal	July 2013
Monolayer MoS 2 : Trigonal warping, the Γ valley, and spin-orbit coupling effects Kormányos, Andor; Zólyomi, Viktor; Drummond, Neil D. Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevB.88.045416	journal	July 2013
Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides Liu, Gui-Bin; Shan, Wen-Yu; Yao, Yugui Physical Review B, Vol. 88, Issue 8 https://doi.org/10.1103/PhysRevB.88.085433	journal	August 2013
Effective lattice Hamiltonian for monolayer MoS 2 : Tailoring electronic structure with perpendicular electric and magnetic fields Rostami, Habib; Moghaddam, Ali G.; Asgari, Reza Physical Review B, Vol. 88, Issue 8 https://doi.org/10.1103/PhysRevB.88.085440	journal	August 2013
Analytical approach to excitonic properties of MoS 2 Berghäuser, Gunnar; Malic, Ermin Physical Review B, Vol. 89, Issue 12 https://doi.org/10.1103/PhysRevB.89.125309	journal	March 2014
Effect of Coulomb interactions on optical properties of monolayer transition-metal dichalcogenides Konabe, Satoru; Okada, Susumu Physical Review B, Vol. 90, Issue 15 https://doi.org/10.1103/PhysRevB.90.155304	journal	October 2014
Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS 2 , Mo S e 2 , WS 2 , and WS e 2 Li, Yilei; Chernikov, Alexey; Zhang, Xian Physical Review B, Vol. 90, Issue 20 https://doi.org/10.1103/PhysRevB.90.205422	journal	November 2014
Exciton band structure of monolayer MoS 2 Wu, Fengcheng; Qu, Fanyao; MacDonald, A. H. Physical Review B, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevB.91.075310	journal	February 2015
Anisotropic exciton Stark shift in black phosphorus Chaves, A.; Low, Tony; Avouris, P. Physical Review B, Vol. 91, Issue 15 https://doi.org/10.1103/PhysRevB.91.155311	journal	April 2015
Atomically Thin MoS2 A New Direct-Gap Semiconductor Mak, Kin Fai; Lee, Changgu; Hone, James Physical Review Letters, Vol. 105, Issue 13, Article No.136805 https://doi.org/10.1103/PhysRevLett.105.136805	journal	September 2010
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
Optical Spectrum of MoS 2 : Many-Body Effects and Diversity of Exciton States Qiu, Diana Y.; da Jornada, Felipe H.; Louie, Steven G. Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.216805	journal	November 2013
Tightly Bound Excitons in Monolayer WSe 2 He, Keliang; Kumar, Nardeep; Zhao, Liang Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.026803	journal	July 2014
Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS 2 Chernikov, Alexey; Berkelbach, Timothy C.; Hill, Heather M. Physical Review Letters, Vol. 113, Issue 7 https://doi.org/10.1103/PhysRevLett.113.076802	journal	August 2014
Giant Enhancement of the Optical Second-Harmonic Emission of WSe 2 Monolayers by Laser Excitation at Exciton Resonances Wang, G.; Marie, X.; Gerber, I. Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.097403	journal	March 2015
Chirality and Correlations in Graphene Barlas, Yafis; Pereg-Barnea, T.; Polini, Marco Physical Review Letters, Vol. 98, Issue 23 https://doi.org/10.1103/PhysRevLett.98.236601	journal	June 2007
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Intensity of Optical Absorption by Excitons Elliott, R. J. Physical Review, Vol. 108, Issue 6 https://doi.org/10.1103/physrev.108.1384	journal	December 1957
Theory of Two-Photon Spectroscopy in Solids Mahan, G. D. Physical Review, Vol. 170, Issue 3 https://doi.org/10.1103/physrev.170.825	journal	June 1968
Two-photon absorption in quantum-well structures near half the direct band gap Shimizu, Akira Physical Review B, Vol. 40, Issue 2 https://doi.org/10.1103/physrevb.40.1403	journal	July 1989
Electron-hole excitations and optical spectra from first principles Rohlfing, Michael; Louie, Steven G. Physical Review B, Vol. 62, Issue 8 https://doi.org/10.1103/physrevb.62.4927	journal	August 2000
Optical matrix elements in tight-binding calculations Pedersen, Thomas Garm; Pedersen, Kjeld; Brun Kriestensen, Thomas Physical Review B, Vol. 63, Issue 20 https://doi.org/10.1103/physrevb.63.201101	journal	May 2001
Theory of neutral and charged excitons in monolayer transition metal dichalcogenides Berkelbach, Timothy C.; Hybertsen, Mark S.; Reichman, David R. Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/physrevb.88.045318	journal	July 2013
Monolayer MoS 2 : Trigonal warping, the Γ valley, and spin-orbit coupling effects Kormányos, Andor; Zólyomi, Viktor; Drummond, Neil D. Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/physrevb.88.045416	journal	July 2013
Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides Liu, Gui-Bin; Shan, Wen-Yu; Yao, Yugui Physical Review B, Vol. 88, Issue 8 https://doi.org/10.1103/physrevb.88.085433	journal	August 2013
Effective lattice Hamiltonian for monolayer MoS 2 : Tailoring electronic structure with perpendicular electric and magnetic fields Rostami, Habib; Moghaddam, Ali G.; Asgari, Reza Physical Review B, Vol. 88, Issue 8 https://doi.org/10.1103/physrevb.88.085440	journal	August 2013
Analytical approach to excitonic properties of MoS 2 Berghäuser, Gunnar; Malic, Ermin Physical Review B, Vol. 89, Issue 12 https://doi.org/10.1103/physrevb.89.125309	journal	March 2014
Effect of Coulomb interactions on optical properties of monolayer transition-metal dichalcogenides Konabe, Satoru; Okada, Susumu Physical Review B, Vol. 90, Issue 15 https://doi.org/10.1103/physrevb.90.155304	journal	October 2014
Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS 2 , Mo S e 2 , WS 2 , and WS e 2 Li, Yilei; Chernikov, Alexey; Zhang, Xian Physical Review B, Vol. 90, Issue 20 https://doi.org/10.1103/physrevb.90.205422	journal	November 2014
Exciton band structure of monolayer MoS 2 Wu, Fengcheng; Qu, Fanyao; MacDonald, A. H. Physical Review B, Vol. 91, Issue 7 https://doi.org/10.1103/physrevb.91.075310	journal	February 2015
Anisotropic exciton Stark shift in black phosphorus Chaves, A.; Low, Tony; Avouris, P. Physical Review B, Vol. 91, Issue 15 https://doi.org/10.1103/physrevb.91.155311	journal	April 2015
Atomically Thin MoS2 A New Direct-Gap Semiconductor Mak, Kin Fai; Lee, Changgu; Hone, James Physical Review Letters, Vol. 105, Issue 13, Article No.136805 https://doi.org/10.1103/physrevlett.105.136805	journal	September 2010
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
Optical Spectrum of MoS 2 : Many-Body Effects and Diversity of Exciton States Qiu, Diana Y.; da Jornada, Felipe H.; Louie, Steven G. Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/physrevlett.111.216805	journal	November 2013
Tightly Bound Excitons in Monolayer WSe 2 He, Keliang; Kumar, Nardeep; Zhao, Liang Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/physrevlett.113.026803	journal	July 2014
Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS 2 Chernikov, Alexey; Berkelbach, Timothy C.; Hill, Heather M. Physical Review Letters, Vol. 113, Issue 7 https://doi.org/10.1103/physrevlett.113.076802	journal	August 2014
Giant Enhancement of the Optical Second-Harmonic Emission of WSe 2 Monolayers by Laser Excitation at Exciton Resonances Wang, G.; Marie, X.; Gerber, I. Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/physrevlett.114.097403	journal	March 2015
Chirality and Correlations in Graphene Barlas, Yafis; Pereg-Barnea, T.; Polini, Marco Physical Review Letters, Vol. 98, Issue 23 https://doi.org/10.1103/physrevlett.98.236601	journal	June 2007
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/revmodphys.81.109	journal	January 2009
The rise of graphene Rodgers, Peter; Geim, A. K.; Novoselov, K. S. Nanoscience and Technology: A Collection of Reviews from Nature Journals, p. 11-19 https://doi.org/10.1142/9789814287005_0002	book	August 2009
The electronic properties of graphene Neto, A. H. Castro; Guinea, F.; Peres, N. M. R. arXiv https://doi.org/10.48550/arxiv.0709.1163	text	January 2007
Optical Generation of Excitonic Valley Coherence in Monolayer WSe2 Jones, Aaron Mitchell; Yu, Hongyi; Ghimire, Nirmal arXiv https://doi.org/10.48550/arxiv.1303.5318	text	January 2013
Theory of Neutral and Charged Excitons in Monolayer Transition Metal Dichalcogenides Berkelbach, Timothy C.; Hybertsen, Mark S.; Reichman, David R. arXiv https://doi.org/10.48550/arxiv.1305.4972	text	January 2013
Direct imaging of the band profile in single layer ${\small MoS_2}$ on graphite: quasiparticle energy gap, metallic edge states and edge band bending Zhang, Chendong; Johnson, Amber; Hsu, Chang-Lung arXiv https://doi.org/10.48550/arxiv.1401.5100	text	January 2014
Probing Excitonic Dark States in Single-layer Tungsten Disulfide Ye, Ziliang; Cao, Ting; O'Brien, Kevin arXiv https://doi.org/10.48550/arxiv.1403.5568	text	January 2014
Anisotropic exciton Stark shift in black phosphorus Chaves, Andrey; Low, T.; Avouris, P. arXiv https://doi.org/10.48550/arxiv.1502.02909	text	January 2015

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Excitonic Stark effect in MoS 2 monolayers Scharf, Benedikt; Frank, Tobias; Gmitra, Martin Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/physrevb.94.245434	journal	December 2016
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