Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields

Goryca, Mateusz Marek; Li, Jing; Stier, Andreas V.; Taniguchi, Takashi; Watanabe, K.; Courtade, Emmanuel; Shree, S.; Robert, Cedric; Urbaszek, B.; Marie, X.; Crooker, Scott A.

doi:10.1038/s41467-019-12180-y

Title: Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields

Abstract

In semiconductor physics, many essential optoelectronic material parameters can be experimentally revealed via optical spectroscopy in sufficiently large magnetic fields. For monolayer transition-metal dichalcogenide semiconductors, this field scale is substantial—tens of teslas or more—due to heavy carrier masses and huge exciton binding energies. Here we report absorption spectroscopy of monolayer MoS₂, MoSe₂, MoTe₂, and WS₂ in very high magnetic fields to 91 T. We follow the diamagnetic shifts and valley Zeeman splittings of not only the exciton’s 1s ground state but also its excited 2s,3s,…,ns Rydberg states. This provides a direct experimental measure of the effective (reduced) exciton masses and dielectric properties. Exciton binding energies, exciton radii, and free-particle bandgaps are also determined. The measured exciton masses are heavier than theoretically predicted, especially for Mo-based monolayers. These results provide essential and quantitative parameters for the rational design of opto-electronic van der Waals heterostructures incorporating 2D semiconductors.

Authors:

^[1];

^[1]; Taniguchi, Takashi ^[2];

^[2]; Courtade, Emmanuel ^[3]; Shree, S. ^[3]; Robert, Cedric ^[3];

^[3]; Marie, X. ^[3];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
National Institute for Materials Science, Ibaraki (Japan)
Univ. de Toulouse, Toulouse (France)

Publication Date:: Fri Sep 13 00:00:00 EDT 2019

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1565907

Report Number(s):: LA-UR-19-23579
Journal ID: ISSN 2041-1723

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Nature Communications

Additional Journal Information:: Journal Volume: 10; Journal Issue: 1; Journal ID: ISSN 2041-1723

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; High Magnetic Field Science

Citation Formats


                    Goryca, Mateusz Marek, Li, Jing, Stier, Andreas V., Taniguchi, Takashi, Watanabe, K., Courtade, Emmanuel, Shree, S., Robert, Cedric, Urbaszek, B., Marie, X., and Crooker, Scott A. Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields.  United States: N. p., 2019. 
Web.  doi:10.1038/s41467-019-12180-y.

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                    Goryca, Mateusz Marek, Li, Jing, Stier, Andreas V., Taniguchi, Takashi, Watanabe, K., Courtade, Emmanuel, Shree, S., Robert, Cedric, Urbaszek, B., Marie, X., & Crooker, Scott A. Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields.  United States.  https://doi.org/10.1038/s41467-019-12180-y

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                    Goryca, Mateusz Marek, Li, Jing, Stier, Andreas V., Taniguchi, Takashi, Watanabe, K., Courtade, Emmanuel, Shree, S., Robert, Cedric, Urbaszek, B., Marie, X., and Crooker, Scott A. Fri .  
"Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields".  United States.  https://doi.org/10.1038/s41467-019-12180-y.  https://www.osti.gov/servlets/purl/1565907.

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@article{osti_1565907,

  title        = {Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields},

  author       = {Goryca, Mateusz Marek and Li, Jing and Stier, Andreas V. and Taniguchi, Takashi and Watanabe, K. and Courtade, Emmanuel and Shree, S. and Robert, Cedric and Urbaszek, B. and Marie, X. and Crooker, Scott A.},

  abstractNote = {In semiconductor physics, many essential optoelectronic material parameters can be experimentally revealed via optical spectroscopy in sufficiently large magnetic fields. For monolayer transition-metal dichalcogenide semiconductors, this field scale is substantial—tens of teslas or more—due to heavy carrier masses and huge exciton binding energies. Here we report absorption spectroscopy of monolayer MoS2, MoSe2, MoTe2, and WS2 in very high magnetic fields to 91 T. We follow the diamagnetic shifts and valley Zeeman splittings of not only the exciton’s 1s ground state but also its excited 2s,3s,…,ns Rydberg states. This provides a direct experimental measure of the effective (reduced) exciton masses and dielectric properties. Exciton binding energies, exciton radii, and free-particle bandgaps are also determined. The measured exciton masses are heavier than theoretically predicted, especially for Mo-based monolayers. These results provide essential and quantitative parameters for the rational design of opto-electronic van der Waals heterostructures incorporating 2D semiconductors.},

  doi          = {10.1038/s41467-019-12180-y},

  journal      = {Nature Communications},

  number       = 1,

  volume       = 10,

  place        = {United States},

  year         = {Fri Sep 13 00:00:00 EDT 2019},

  month        = {Fri Sep 13 00:00:00 EDT 2019}

}

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Table 1: Fundamental optoelectronic material parameters of monolayer TMD semiconductors

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Splitting between bright and dark excitons in transition metal dichalcogenide monolayers
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Echeverry, J. P.; Urbaszek, B.; Amand, T.
Physical Review B, Vol. 93, Issue 12
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Magnetoexcitons in large area CVD-grown monolayer ${MoS}_{2}$ and ${MoSe}_{2}$ on sapphire
journal, April 2016

Mitioglu, A. A.; Galkowski, K.; Surrente, A.
Physical Review B, Vol. 93, Issue 16
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Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
text, January 2012

Jaime, Marcelo; Daou, Ramzy; Crooker, Scott A.
arXiv
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Coulomb engineering of the bandgap and excitons in two-dimensional materials
journal, May 2017

Raja, Archana; Chaves, Andrey; Yu, Jaeeun
Nature Communications, Vol. 8, Issue 1
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Exciton diamagnetic shifts and valley Zeeman effects in monolayer WS2 and MoS2 to 65 Tesla
journal, February 2016

Stier, Andreas V.; McCreary, Kathleen M.; Jonker, Berend T.
Nature Communications, Vol. 7, Issue 1
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Effects of confinement and environment on the electronic structure and exciton binding energy of MoS $_{2}$ from first principles
journal, December 2012

Komsa, Hannu-Pekka; Krasheninnikov, Arkady V.
Physical Review B, Vol. 86, Issue 24
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Large excitonic effects in monolayers of molybdenum and tungsten dichalcogenides
journal, September 2012

Ramasubramaniam, Ashwin
Physical Review B, Vol. 86, Issue 11
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Cao, Ting; Wang, Gang; Han, Wenpeng
Nature Communications, Vol. 3, Issue 1
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Orbital, spin and valley contributions to Zeeman splitting of excitonic resonances in MoSe$_2$, WSe$_2$ and WS$_2$ monolayers
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Koperski, M.; Molas, M. R.; Arora, A.
arXiv
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Direct exciton emission from atomically thin transition metal dichalcogenide heterostructures near the lifetime limit
text, January 2017

Wierzbowski, Jakob; Klein, Julian; Sigger, Florian
arXiv
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Exciton Diamagnetic Shifts and Valley Zeeman Effects in Monolayer WS$_2$ and MoS$_2$ to 65 Tesla
text, January 2015

Stier, Andreas V.; McCreary, Kathleen M.; Jonker, Berend T.
arXiv
DOI: 10.48550/arxiv.1510.07022

Monolayer MoS2 Bandgap Modulation by Dielectric Environments and Tunable Bandgap Transistors
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Ryou, Junga; Kim, Yong-Sung; Kc, Santosh
Scientific Reports, Vol. 6, Issue 1
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Magnetooptics of Exciton Rydberg States in a Monolayer Semiconductor
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Stier, A. V.; Wilson, N. P.; Velizhanin, K. A.
Physical Review Letters, Vol. 120, Issue 5
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Excitons, trions, and biexcitons in transition-metal dichalcogenides: Magnetic-field dependence
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Van der Donck, M.; Zarenia, M.; Peeters, F. M.
Physical Review B, Vol. 97, Issue 19
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Colloquium : Excitons in atomically thin transition metal dichalcogenides
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Wang, Gang; Chernikov, Alexey; Glazov, Mikhail M.
Reviews of Modern Physics, Vol. 90, Issue 2
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Chen, Shao-Yu; Lu, Zhengguang; Goldstein, Thomas
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Coulomb interaction in monolayer transition-metal dichalcogenides
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Van Tuan, Dinh; Yang, Min; Dery, Hanan
Physical Review B, Vol. 98, Issue 12
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Environmentally-Sensitive Theory of Electronic and Optical Transitions in Atomically-Thin Semiconductors
text, January 2017

Cho, Yeongsu; Berkelbach, Timothy C.
arXiv
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Corrigendum: k.p theory for two-dimensional transition metal dichalcogenide semiconductors (2015 2D Mater. 2 022001)
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2D Materials, Vol. 2, Issue 4
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Coulomb engineering of the bandgap and excitons in two-dimensional materials
text, January 2017

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Geim, A. K.; Grigorieva, I. V.
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Spin-resolved photoemission study of epitaxially grown MoSe ₂ and WSe ₂ thin films
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Mo, Sung-Kwan; Hwang, Choongyu; Zhang, Yi
Journal of Physics: Condensed Matter, Vol. 28, Issue 45
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Electronics and optoelectronics of two-dimensional transition metal dichalcogenides
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Wang, Qing Hua; Kalantar-Zadeh, Kourosh; Kis, Andras
Nature Nanotechnology, Vol. 7, Issue 11, p. 699-712
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Monolayer MoS2 Bandgap Modulation by Dielectric Environments and Tunable Bandgap Transistors
journal, July 2016

Ryou, Junga; Kim, Yong-Sung; Kc, Santosh
Scientific Reports, Vol. 6, Issue 1
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The transition metal dichalcogenides discussion and interpretation of the observed optical, electrical and structural properties
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Wilson, J. A.; Yoffe, A. D.
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Mak, Kin Fai; Shan, Jie
Nature Photonics, Vol. 10, Issue 4
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Chen, Chaoyu; Avila, José; Wang, Shuopei
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Probing the influence of dielectric environment on excitons in monolayer WSe2: Insight from high magnetic fields
text, January 2016

Stier, Andreas V.; Wilson, Nathan P.; Clark, Genevieve
arXiv
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Magneto-optics in transition metal diselenide monolayers
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Wang, G.; Bouet, L.; Glazov, M. M.
2D Materials, Vol. 2, Issue 3
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Excitonic valley effects in monolayer WS$_2$ under high magnetic fields
text, January 2016

Plechinger, Gerd; Nagler, Philipp; Arora, Ashish
arXiv
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Direct exciton emission from atomically thin transition metal dichalcogenide heterostructures near the lifetime limit
journal, September 2017

Wierzbowski, Jakob; Klein, Julian; Sigger, Florian
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Scuri, Giovanni; Zhou, You; High, Alexander A.
Physical Review Letters, Vol. 120, Issue 3
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journal, January 2018

Back, Patrick; Zeytinoglu, Sina; Ijaz, Aroosa
Physical Review Letters, Vol. 120, Issue 3
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Optical spectroscopy of excited exciton states in ${MoS}_{2}$ monolayers in van der Waals heterostructures
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Robert, C.; Semina, M. A.; Cadiz, F.
Physical Review Materials, Vol. 2, Issue 1
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Li, Yilei; Ludwig, Jonathan; Low, Tony
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The Dielectric Impact of Layer Distances on Exciton and Trion Binding Energies in van der Waals Heterostructures
journal, March 2018

Florian, Matthias; Hartmann, Malte; Steinhoff, Alexander
Nano Letters, Vol. 18, Issue 4
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Realization of an Electrically Tunable Narrow-Bandwidth Atomically Thin Mirror Using Monolayer MoSe2
text, January 2018

Back, Patrick; Zeytinoglu, Sina; Ijaz, Aroosa
ETH Zurich
DOI: 10.3929/ethz-b-000231337

Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer ${WS}_{2}$
journal, August 2014

Chernikov, Alexey; Berkelbach, Timothy C.; Hill, Heather M.
Physical Review Letters, Vol. 113, Issue 7
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Control of valley polarization in monolayer MoS2 by optical helicity
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Mak, Kin Fai; He, Keliang; Shan, Jie
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Wickramaratne, Darshana; Zahid, Ferdows; Lake, Roger K.
The Journal of Chemical Physics, Vol. 140, Issue 12
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Valley polarization in MoS2 monolayers by optical pumping
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Zeng, Hualing; Dai, Junfeng; Yao, Wang
Nature Nanotechnology, Vol. 7, Issue 8
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Two-Dimensional Heterojunctions from Nonlocal Manipulations of the Interactions
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Rösner, M.; Steinke, C.; Lorke, M.
Nano Letters, Vol. 16, Issue 4
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Works referencing / citing this record:

Rydberg series of dark excitons and the conduction band spin-orbit splitting in monolayer WSe2
journal, August 2021

Kapuściński, Piotr; Delhomme, Alex; Vaclavkova, Diana
Communications Physics, Vol. 4, Issue 1
DOI: 10.1038/s42005-021-00692-3

Energy Spectrum of Two-Dimensional Excitons in a Nonuniform Dielectric Medium
journal, September 2019

Molas, M. R.; Slobodeniuk, A. O.; Nogajewski, K.
Physical Review Letters, Vol. 123, Issue 13
DOI: 10.1103/physrevlett.123.136801

Excitons in monolayer semiconductors in complex environments and under external fields
text, January 2020

Zipfel, Jonas
Universität Regensburg
DOI: 10.5283/epub.43395

Coherent dynamics and mapping of excitons in single-layer MoSe$_2$ and WSe$_2$ at the homogeneous limit
text, January 2020

Boule, Caroline; Vaclavkova, Diana; Bartos, Miroslav
arXiv
DOI: 10.48550/arxiv.2002.01436

Spontaneous Valley Polarization of Interacting Carriers in a Monolayer Semiconductor
journal, October 2020

Li, J.; Goryca, M.; Wilson, N. P.
Physical Review Letters, Vol. 125, Issue 14
DOI: 10.1103/physrevlett.125.147602

High optical quality of MoS ₂ monolayers grown by chemical vapor deposition
journal, November 2019

Shree, Shivangi; George, Antony; Lehnert, Tibor
2D Materials, Vol. 7, Issue 1
DOI: 10.1088/2053-1583/ab4f1f

Tunable quantum confinement of neutral excitons using electric fields and exciton-charge interactions
preprint, January 2021

Thureja, Deepankur; Imamoglu, Atac; Smolenski, Tomasz
arXiv
DOI: 10.48550/arxiv.2102.08989

Magnetoexcitons in transition-metal dichalcogenides monolayers, bilayers, and van der Waals heterostructures
text, January 2020

Kezerashvili, Roman Ya.; Spiridonova, Anastasia
arXiv
DOI: 10.48550/arxiv.2012.07125

Controlling exciton many-body states by the electric-field effect in monolayer MoS$_2$
text, January 2020

Klein, Julian; Hötger, Alexander; Florian, Matthias
arXiv
DOI: 10.48550/arxiv.2007.14441

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Exciton diamagnetic shifts and valley Zeeman effects in monolayer WS₂ and MoS₂ to 65 Tesla

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In bulk and quantum-confined semiconductors, magneto-optical studies have historically played an essential role in determining the fundamental parameters of excitons (size, binding energy, spin, dimensionality and so on). Here we report low-temperature polarized reflection spectroscopy of atomically thin WS₂ and MoS₂ in high magnetic fields to 65 T. Both the A and B excitons exhibit similar Zeeman splittings of approximately –230 μeV T–1 (g-factor ≃–4), thereby quantifying the valley Zeeman effect in monolayer transition-metal disulphides. Crucially, these large fields also allow observation of the small quadratic diamagnetic shifts of both A and B excitons in monolayer WS₂, from which radiimore »« less
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Title: Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields

Abstract

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Figures / Tables:

Exciton spectra in thin crystals: the diamagnetic effect journal, June 1967

Environmentally sensitive theory of electronic and optical transitions in atomically thin semiconductors journal, January 2018

Excitonic Valley Effects in Monolayer WS 2 under High Magnetic Fields journal, November 2016

Breaking of Valley Degeneracy by Magnetic Field in Monolayer MoSe 2 journal, January 2015

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Exciton diamagnetic shifts and valley Zeeman effects in monolayer WS2 and MoS2 to 65 Tesla journal, February 2016

Spin and pseudospins in layered transition metal dichalcogenides journal, April 2014

Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2 journal, July 2012

Brightening of dark excitons in monolayers of semiconducting transition metal dichalcogenides journal, January 2017

Substrate interactions with suspended and supported monolayer Mo S 2 : Angle-resolved photoemission spectroscopy journal, March 2015

Valley- and spin-polarized Landau levels in monolayer WSe2 journal, October 2016

Single-layer MoS2 journal, April 1986

Magneto-optics in transition metal diselenide monolayers text, January 2015

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XX. Properties of slow electrons in polar materials journal, March 1950

Luminescent emission of excited Rydberg excitons from monolayer WSe2 text, January 2019

Atomically Thin MoS2 A New Direct-Gap Semiconductor journal, September 2010

Brightening of dark excitons in monolayers of semiconducting transition metal dichalcogenides text, January 2016

Magneto-Optics of Exciton Rydberg States in a Monolayer Semiconductor text, January 2017

High-quality, large-area MoSe 2 and MoSe 2 /Bi 2 Se 3 heterostructures on AlN(0001)/Si(111) substrates by molecular beam epitaxy journal, January 2015

Electronics and optoelectronics of two-dimensional transition metal dichalcogenides journal, November 2012

Spin-resolved photoemission study of epitaxially grown MoSe 2 and WSe 2 thin films journal, September 2016

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Direct exciton emission from atomically thin transition metal dichalcogenide heterostructures near the lifetime limit journal, September 2017

Approaching the intrinsic photoluminescence linewidth in transition metal dichalcogenide monolayers journal, July 2017

Probing the Influence of Dielectric Environment on Excitons in Monolayer WSe 2 : Insight from High Magnetic Fields journal, October 2016

Electronic structure of a single MoS2 monolayer journal, May 2012

Band Structures of Transition-Metal-Dichalcogenide Layer Compounds journal, October 1973

Approaching the intrinsic photoluminescence linewidth in transition metal dichalcogenide monolayers journal, July 2017

Robust optical emission polarization in MoS 2 monolayers through selective valley excitation journal, August 2012

The dielectric impact of layer distances on exciton and trion binding energies in van der Waals heterostructures text, January 2017

Coulomb engineering of the bandgap and excitons in two-dimensional materials text, January 2017

Valley Zeeman Splitting and Valley Polarization of Neutral and Charged Excitons in Monolayer MoTe 2 at High Magnetic Fields journal, May 2016

The dielectric impact of layer distances on exciton and trion binding energies in van der Waals heterostructures text, January 2017

Valley-selective circular dichroism of monolayer molybdenum disulphide journal, January 2012

Interactions and magnetotransport through spin-valley coupled Landau levels in monolayer MoS$_{2}$ text, January 2018

Intervalley polaron in atomically thin transition metal dichalcogenides journal, July 2019

Emergence of Interfacial Polarons from Electron–Phonon Coupling in Graphene/h-BN van der Waals Heterostructures journal, January 2018

Colloquium : Excitons in atomically thin transition metal dichalcogenides text, January 2018

Interactions and Magnetotransport through Spin-Valley Coupled Landau Levels in Monolayer MoS 2 journal, December 2018

Spatial extent of the excited exciton states in WS 2 monolayers from diamagnetic shifts journal, August 2018

Direct observation of the transition from indirect to direct bandgap in atomically thin epitaxial MoSe2 text, January 2014

Binding energies of exciton complexes in transition metal dichalcogenide monolayers and effect of dielectric environment journal, November 2015

Magneto-optics in GaAs- Ga 1 − x Al x As quantum wells journal, September 1986

Orbital, spin and valley contributions to Zeeman splitting of excitonic resonances in MoSe 2 , WSe 2 and WS 2 Monolayers journal, October 2018

Spatial extent of the excited exciton states in WS2 monolayers from diamagnetic shifts text, January 2018

Corrigendum: k.p theory for two-dimensional transition metal dichalcogenide semiconductors (2015 2D Mater. 2 022001) journal, November 2015

Valley-splitting and valley-dependent inter-Landau-level optical transitions in monolayer MoS 2 quantum Hall systems journal, July 2014

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Magneto-optics in transition metal diselenide monolayers journal, June 2015

Coulomb engineering of the bandgap and excitons in two-dimensional materials text, January 2017

The transition metal dichalcogenides discussion and interpretation of the observed optical, electrical and structural properties journal, May 1969

Excitons in van der Waals heterostructures: The important role of dielectric screening journal, December 2015

Mirrors made of a single atomic layer journal, April 2018

Magnetic brightening and control of dark excitons in monolayer WSe2 text, January 2016

Theory of neutral and charged excitons in monolayer transition metal dichalcogenides journal, July 2013

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Quasiparticle band structure calculation of monolayer, bilayer, and bulk MoS 2 journal, May 2012

Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides journal, March 2016

XX. Properties of slow electrons in polar materials journal, March 1950

Exciton spectra in thin crystals: the diamagnetic effect journal, June 1967

Exciton diamagnetic shift in semiconductor nanostructures journal, April 1998

Coupled Spin and Valley Physics in Monolayers of MoS 2 and Other Group-VI Dichalcogenides journal, May 2012

Excitonic Valley Effects in Monolayer WS 2 under High Magnetic Fields journal, November 2016

Exciton-phonon interactions in nanocavity-integrated monolayer transition metal dichalcogenides preprint, January 2020

Normal Modes in Hexagonal Boron Nitride journal, June 1966

Magnetic brightening and control of dark excitons in monolayer WSe2 journal, June 2017

Emerging Photoluminescence in Monolayer MoS2 journal, April 2010

Exciton spectra in thin crystals: the diamagnetic effect
journal, June 1967

Environmentally sensitive theory of electronic and optical transitions in atomically thin semiconductors
journal, January 2018

Excitonic Valley Effects in Monolayer WS ₂ under High Magnetic Fields
journal, November 2016

Breaking of Valley Degeneracy by Magnetic Field in Monolayer ${MoSe}_{2}$
journal, January 2015

Magnetic brightening and control of dark excitons in monolayer WSe2
journal, June 2017

Large effective mass and interaction-enhanced Zeeman splitting of $K$ -valley electrons in ${MoSe}_{2}$
journal, May 2018

Hydrogenic energy levels in two dimensions at arbitrary magnetic fields
journal, June 1986

Magneto-polarons in monolayer transition-metal dichalcogenides
journal, June 2018

Orbital, spin and valley contributions to Zeeman splitting of excitonic resonances in MoSe$_2$, WSe$_2$ and WS$_2$ monolayers
preprint, January 2018

Exciton diamagnetic shifts and valley Zeeman effects in monolayer WS2 and MoS2 to 65 Tesla
journal, February 2016

Spin and pseudospins in layered transition metal dichalcogenides
journal, April 2014

Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2
journal, July 2012

Brightening of dark excitons in monolayers of semiconducting transition metal dichalcogenides
journal, January 2017

Substrate interactions with suspended and supported monolayer $Mo S_{2}$ : Angle-resolved photoemission spectroscopy
journal, March 2015

Valley- and spin-polarized Landau levels in monolayer WSe2
journal, October 2016

Single-layer MoS2
journal, April 1986

Magneto-optics in transition metal diselenide monolayers
text, January 2015

Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides
journal, August 2013

XX. Properties of slow electrons in polar materials
journal, March 1950

Luminescent emission of excited Rydberg excitons from monolayer WSe2
text, January 2019

Atomically Thin ${MoS}_{2}$ A New Direct-Gap Semiconductor
journal, September 2010

Brightening of dark excitons in monolayers of semiconducting transition metal dichalcogenides
text, January 2016

Magneto-Optics of Exciton Rydberg States in a Monolayer Semiconductor
text, January 2017

High-quality, large-area MoSe ₂ and MoSe ₂ /Bi ₂ Se ₃ heterostructures on AlN(0001)/Si(111) substrates by molecular beam epitaxy
journal, January 2015

Electronics and optoelectronics of two-dimensional transition metal dichalcogenides
journal, November 2012

Spin-resolved photoemission study of epitaxially grown MoSe ₂ and WSe ₂ thin films
journal, September 2016

Spin- and valley-dependent magneto-optical properties of MoS $_{2}$
journal, September 2013

Interactions and Magnetotransport through Spin-Valley Coupled Landau Levels in Monolayer
text, January 2018

Observation of interlayer excitons in ${MoSe}_{2}$ single crystals
journal, June 2018

Direct exciton emission from atomically thin transition metal dichalcogenide heterostructures near the lifetime limit
journal, September 2017

Approaching the intrinsic photoluminescence linewidth in transition metal dichalcogenide monolayers
journal, July 2017

Probing the Influence of Dielectric Environment on Excitons in Monolayer WSe ₂ : Insight from High Magnetic Fields
journal, October 2016

Electronic structure of a single MoS2 monolayer
journal, May 2012

Band Structures of Transition-Metal-Dichalcogenide Layer Compounds
journal, October 1973

Approaching the intrinsic photoluminescence linewidth in transition metal dichalcogenide monolayers
journal, July 2017

Robust optical emission polarization in MoS $_{2}$ monolayers through selective valley excitation
journal, August 2012

The dielectric impact of layer distances on exciton and trion binding energies in van der Waals heterostructures
text, January 2017

Coulomb engineering of the bandgap and excitons in two-dimensional materials
text, January 2017

Valley Zeeman Splitting and Valley Polarization of Neutral and Charged Excitons in Monolayer MoTe ₂ at High Magnetic Fields
journal, May 2016

The dielectric impact of layer distances on exciton and trion binding energies in van der Waals heterostructures
text, January 2017

Valley-selective circular dichroism of monolayer molybdenum disulphide
journal, January 2012

Interactions and magnetotransport through spin-valley coupled Landau levels in monolayer MoS$_{2}$
text, January 2018

Intervalley polaron in atomically thin transition metal dichalcogenides
journal, July 2019

Emergence of Interfacial Polarons from Electron–Phonon Coupling in Graphene/h-BN van der Waals Heterostructures
journal, January 2018

Colloquium : Excitons in atomically thin transition metal dichalcogenides
text, January 2018

Interactions and Magnetotransport through Spin-Valley Coupled Landau Levels in Monolayer ${MoS}_{2}$
journal, December 2018

Spatial extent of the excited exciton states in ${WS}_{2}$ monolayers from diamagnetic shifts
journal, August 2018

Direct observation of the transition from indirect to direct bandgap in atomically thin epitaxial MoSe2
text, January 2014

Binding energies of exciton complexes in transition metal dichalcogenide monolayers and effect of dielectric environment
journal, November 2015

Magneto-optics in GaAs- ${Ga}_{1 - x}$ ${Al}_{x}$ As quantum wells
journal, September 1986

Orbital, spin and valley contributions to Zeeman splitting of excitonic resonances in MoSe ₂ , WSe ₂ and WS ₂ Monolayers
journal, October 2018

Spatial extent of the excited exciton states in WS2 monolayers from diamagnetic shifts
text, January 2018

Corrigendum: k.p theory for two-dimensional transition metal dichalcogenide semiconductors (2015 2D Mater. 2 022001)
journal, November 2015

Valley-splitting and valley-dependent inter-Landau-level optical transitions in monolayer ${MoS}_{2}$ quantum Hall systems
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In-plane Propagation of Light in Transition Metal Dichalcogenide Monolayers: Optical Selection Rules
text, January 2017

Interband Optical Transitions in Extremely Anisotropic Semiconductors. II. Coexistence of Exciton and the Landau Levels
journal, January 1967

Binding energies of exciton complexes in transition metal dichalcogenides and effect of dielectric environment
text, January 2015

Magneto-optics in transition metal diselenide monolayers
journal, June 2015

Coulomb engineering of the bandgap and excitons in two-dimensional materials
text, January 2017

The transition metal dichalcogenides discussion and interpretation of the observed optical, electrical and structural properties
journal, May 1969

Excitons in van der Waals heterostructures: The important role of dielectric screening
journal, December 2015

Mirrors made of a single atomic layer
journal, April 2018

Magnetic brightening and control of dark excitons in monolayer WSe2
text, January 2016

Theory of neutral and charged excitons in monolayer transition metal dichalcogenides
journal, July 2013

Quasiparticle band structures and optical properties of strained monolayer MoS $_{2}$ and WS $_{2}$
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Quasiparticle band structure calculation of monolayer, bilayer, and bulk MoS $_{2}$
journal, May 2012

Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides
journal, March 2016

XX. Properties of slow electrons in polar materials
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Exciton spectra in thin crystals: the diamagnetic effect
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Exciton diamagnetic shift in semiconductor nanostructures
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Coupled Spin and Valley Physics in Monolayers of ${MoS}_{2}$ and Other Group-VI Dichalcogenides
journal, May 2012

Excitonic Valley Effects in Monolayer WS ₂ under High Magnetic Fields
journal, November 2016

Exciton-phonon interactions in nanocavity-integrated monolayer transition metal dichalcogenides
preprint, January 2020

Normal Modes in Hexagonal Boron Nitride
journal, June 1966

Magnetic brightening and control of dark excitons in monolayer WSe2
journal, June 2017

Emerging Photoluminescence in Monolayer MoS₂
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Spin and pseudospins in layered transition metal dichalcogenides
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Polaronic correction to the exciton effective mass
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In-Plane Propagation of Light in Transition Metal Dichalcogenide Monolayers: Optical Selection Rules
journal, July 2017

Control of valley polarization in monolayer MoS2 by optical helicity
journal, June 2012