Exciton valley depolarization in monolayer transition-metal dichalcogenides

Yang, Min; Robert, Cedric; Lu, Zhengguang; Van Tuan, Dinh; Smirnov, Dmitry; Marie, Xavier; Dery, Hanan

doi:10.1103/physrevb.101.115307

Title: Exciton valley depolarization in monolayer transition-metal dichalcogenides

Journal Article · Thu Mar 26 00:00:00 EDT 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.101.115307· OSTI ID:1802616

^[1]; Robert, Cedric ^[2]; Lu, Zhengguang ^[3];

^[1]; Smirnov, Dmitry ^[3]; Marie, Xavier ^[2]; Dery, Hanan ^[1]

Univ. of Rochester, NY (United States)
Univ. of Toulouse (France)
Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)

The valley degree of freedom is a sought-after quantum number in monolayer transition-metal dichalcogenides. Similar to optical spin orientation in semiconductors, the helicity of absorbed photons can be relayed to the valley (pseudospin) quantum number of photoexcited electrons and holes. Also similar to the quantum-mechanical spin, the valley quantum number is not a conserved quantity. Valley depolarization of excitons in monolayer transition-metal dichalcogenides due to long-range electron-hole exchange typically takes a few ps at low temperatures. Exceptions to this behavior are monolayers MoSe₂ and MoTe₂ wherein the depolarization is much faster. Here, we elucidate the enigmatic anomaly of these materials, finding that it originates from Rashba-induced coupling of the dark and bright exciton branches next to their degeneracy point. When photoexcited excitons scatter during their energy relaxation between states next to the degeneracy region, they reach the light cone after losing the initial helicity. The valley depolarization is not as fast in monolayers WSe₂, WS₂, and MoS₂, wherein the degeneracy is absent resulting in negligible Rashba-induced coupling between bright and dark excitons.

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Research Organization:: Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); French National Research Agency (ANR); State of Florida

Grant/Contract Number:: SC0014349; DMR-1503601

OSTI ID:: 1802616

Alternate ID(s):: OSTI ID: 1606584

Journal Information:: Physical Review. B, Vol. 101, Issue 11; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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References (73)

Probing dark excitons in atomically thin semiconductors via near-field coupling to surface plasmon polaritons Zhou, You; Scuri, Giovanni; Wild, Dominik S. Nature Nanotechnology, Vol. 12, Issue 9 https://doi.org/10.1038/nnano.2017.106	journal	June 2017
Exciton fine structure and spin decoherence in monolayers of transition metal dichalcogenides Glazov, M. M.; Amand, T.; Marie, X. Physical Review B, Vol. 89, Issue 20 https://doi.org/10.1103/PhysRevB.89.201302	journal	May 2014
Dark excitons and the elusive valley polarization in transition metal dichalcogenides Baranowski, M.; Surrente, A.; Maude, D. K. 2D Materials, Vol. 4, Issue 2 https://doi.org/10.1088/2053-1583/aa58a0	journal	February 2017
Valley dynamics probed through charged and neutral exciton emission in monolayer ${WSe}_{2}$ Wang, G.; Bouet, L.; Lagarde, D. Physical Review B, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevB.90.075413	journal	August 2014
Carrier and Polarization Dynamics in Monolayer ${MoS}_{2}$ Lagarde, D.; Bouet, L.; Marie, X. Physical Review Letters, Vol. 112, Issue 4 https://doi.org/10.1103/PhysRevLett.112.047401	journal	January 2014
Probing many-body interactions in monolayer transition-metal dichalcogenides Van Tuan, Dinh; Scharf, Benedikt; Wang, Zefang Physical Review B, Vol. 99, Issue 8 https://doi.org/10.1103/PhysRevB.99.085301	journal	February 2019
Polarization and time-resolved photoluminescence spectroscopy of excitons in MoSe ₂ monolayers Wang, G.; Palleau, E.; Amand, T. Applied Physics Letters, Vol. 106, Issue 11 https://doi.org/10.1063/1.4916089	journal	March 2015
Magnetic brightening and control of dark excitons in monolayer WSe2 Zhang, Xiao-Xiao; Cao, Ting; Lu, Zhengguang Nature Nanotechnology, Vol. 12, Issue 9 https://doi.org/10.1038/nnano.2017.105	journal	June 2017
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
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
Dynamical screening in monolayer transition-metal dichalcogenides and its manifestations in the exciton spectrum Scharf, Benedikt; Van Tuan, Dinh; Žutić, Igor Journal of Physics: Condensed Matter, Vol. 31, Issue 20 https://doi.org/10.1088/1361-648X/ab071f	journal	March 2019
Resonant Spin Amplification in $n$ -Type GaAs Kikkawa, J. M.; Awschalom, D. D. Physical Review Letters, Vol. 80, Issue 19 https://doi.org/10.1103/PhysRevLett.80.4313	journal	May 1998
Optical polarization and intervalley scattering in single layers of MoS2 and MoSe2 Kioseoglou, G.; Hanbicki, A. T.; Currie, M. Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep25041	journal	April 2016
Valley depolarization in monolayer WSe2 Yan, Tengfei; Qiao, Xiaofen; Tan, Pingheng Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep15625	journal	October 2015
In-Plane Propagation of Light in Transition Metal Dichalcogenide Monolayers: Optical Selection Rules Wang, G.; Robert, C.; Glazov, M. M. Physical Review Letters, Vol. 119, Issue 4 https://doi.org/10.1103/PhysRevLett.119.047401	journal	July 2017
Optical Orientation and Femtosecond Relaxation of Spin-Polarized Holes in GaAs Hilton, D. J.; Tang, C. L. Physical Review Letters, Vol. 89, Issue 14 https://doi.org/10.1103/PhysRevLett.89.146601	journal	September 2002
Probing and Manipulating Valley Coherence of Dark Excitons in Monolayer ${WSe}_{2}$ Molas, M. R.; Slobodeniuk, A. O.; Kazimierczuk, T. Physical Review Letters, Vol. 123, Issue 9 https://doi.org/10.1103/PhysRevLett.123.096803	journal	August 2019
k · p theory for two-dimensional transition metal dichalcogenide semiconductors Kormányos, Andor; Burkard, Guido; Gmitra, Martin 2D Materials, Vol. 2, Issue 2 https://doi.org/10.1088/2053-1583/2/2/022001	journal	April 2015
Trion fine structure and coupled spin–valley dynamics in monolayer tungsten disulfide Plechinger, Gerd; Nagler, Philipp; Arora, Ashish Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12715	journal	September 2016
Resonance Profiles of Valley Polarization in Single-Layer ${MoS}_{2}$ and ${MoSe}_{2}$ Tornatzky, Hans; Kaulitz, Anne-Marie; Maultzsch, Janina Physical Review Letters, Vol. 121, Issue 16 https://doi.org/10.1103/PhysRevLett.121.167401	journal	October 2018
Large spin splitting in the conduction band of transition metal dichalcogenide monolayers Kośmider, K.; González, J. W.; Fernández-Rossier, J. Physical Review B, Vol. 88, Issue 24 https://doi.org/10.1103/PhysRevB.88.245436	journal	December 2013
Ultrafast valley relaxation dynamics in monolayer ${MoS}_{2}$ probed by nonequilibrium optical techniques Dal Conte, S.; Bottegoni, F.; Pogna, E. A. A. Physical Review B, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevB.92.235425	journal	December 2015
Probing the Interlayer Exciton Physics in a MoS ₂ /MoSe ₂ /MoS ₂ van der Waals Heterostructure Baranowski, M.; Surrente, A.; Klopotowski, L. Nano Letters, Vol. 17, Issue 10 https://doi.org/10.1021/acs.nanolett.7b03184	journal	September 2017
Marrying Excitons and Plasmons in Monolayer Transition-Metal Dichalcogenides Van Tuan, Dinh; Scharf, Benedikt; Žutić, Igor Physical Review X, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevX.7.041040	journal	November 2017
Spin relaxation via exchange with donor impurity-bound electrons Qing, Lan; Li, Jing; Appelbaum, Ian Physical Review B, Vol. 91, Issue 24 https://doi.org/10.1103/PhysRevB.91.241405	journal	June 2015
Exciton valley dynamics in monolayer Mo _1-x W _x Se ₂ (x = 0, 0.5, 1) Ye, Jialiang; Niu, Binghui; Li, Ying Applied Physics Letters, Vol. 111, Issue 15 https://doi.org/10.1063/1.4995517	journal	October 2017
Atomically Thin ${MoS}_{2}$ 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
Low-temperature photocarrier dynamics in monolayer MoS ₂ Korn, T.; Heydrich, S.; Hirmer, M. Applied Physics Letters, Vol. 99, Issue 10 https://doi.org/10.1063/1.3636402	journal	September 2011
Low-temperature spin relaxation in n -type GaAs Dzhioev, R. I.; Kavokin, K. V.; Korenev, V. L. Physical Review B, Vol. 66, Issue 24 https://doi.org/10.1103/PhysRevB.66.245204	journal	December 2002
Ultrafast Coulomb-Induced Intervalley Coupling in Atomically Thin WS ₂ Schmidt, Robert; Berghäuser, Gunnar; Schneider, Robert Nano Letters, Vol. 16, Issue 5 https://doi.org/10.1021/acs.nanolett.5b04733	journal	April 2016
Theory of intervalley Coulomb interactions in monolayer transition-metal dichalcogenides Dery, Hanan Physical Review B, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevB.94.075421	journal	August 2016
Valley-selective circular dichroism of monolayer molybdenum disulphide Cao, Ting; Wang, Gang; Han, Wenpeng Nature Communications, Vol. 3, Issue 1 https://doi.org/10.1038/ncomms1882	journal	January 2012
Nuclear Dynamic Polarization by Optical Electronic Saturation and Optical Pumping in Semiconductors Lampel, Georges Physical Review Letters, Vol. 20, Issue 10 https://doi.org/10.1103/PhysRevLett.20.491	journal	March 1968
Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides Yu, Hongyi; Liu, Gui-Bin; Gong, Pu Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4876	journal	May 2014
Exciton spin dynamics in quantum wells Maialle, M. Z.; de Andrada e. Silva, E. A.; Sham, L. J. Physical Review B, Vol. 47, Issue 23 https://doi.org/10.1103/PhysRevB.47.15776	journal	June 1993
Two-dimensional Fröhlich interaction in transition-metal dichalcogenide monolayers: Theoretical modeling and first-principles calculations Sohier, Thibault; Calandra, Matteo; Mauri, Francesco Physical Review B, Vol. 94, Issue 8 https://doi.org/10.1103/PhysRevB.94.085415	journal	August 2016
Spin-Orbit Coupling, Quantum Dots, and Qubits in Monolayer Transition Metal Dichalcogenides Kormányos, Andor; Zólyomi, Viktor; Drummond, Neil D. Physical Review X, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevX.4.011034	journal	March 2014
Spin–flip processes and radiative decay of dark intravalley excitons in transition metal dichalcogenide monolayers Slobodeniuk, A. O.; Basko, D. M. 2D Materials, Vol. 3, Issue 3 https://doi.org/10.1088/2053-1583/3/3/035009	journal	August 2016
Spintronics: Fundamentals and applications Žutić, Igor; Fabian, Jaroslav; Das Sarma, S. Reviews of Modern Physics, Vol. 76, Issue 2 https://doi.org/10.1103/RevModPhys.76.323	journal	April 2004
Colloquium : Excitons in atomically thin transition metal dichalcogenides Wang, Gang; Chernikov, Alexey; Glazov, Mikhail M. Reviews of Modern Physics, Vol. 90, Issue 2 https://doi.org/10.1103/RevModPhys.90.021001	journal	April 2018
Observation of exciton-phonon coupling in ${MoSe}_{2}$ monolayers Shree, S.; Semina, M.; Robert, C. Physical Review B, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevB.98.035302	journal	July 2018
Coulomb interaction in monolayer transition-metal dichalcogenides Van Tuan, Dinh; Yang, Min; Dery, Hanan Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevB.98.125308	journal	September 2018
Exciton radiative lifetime in transition metal dichalcogenide monolayers Robert, C.; Lagarde, D.; Cadiz, F. Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevB.93.205423	journal	May 2016
Intrinsic transport properties of electrons and holes in monolayer transition-metal dichalcogenides Jin, Zhenghe; Li, Xiaodong; Mullen, Jeffrey T. Physical Review B, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevB.90.045422	journal	July 2014
Solution of few-body problems with the stochastic variational method II: Two-dimensional systems Varga, Kálmán Computer Physics Communications, Vol. 179, Issue 8 https://doi.org/10.1016/j.cpc.2007.07.015	journal	October 2008
Theory of Spin-Dependent Phonon-Assisted Optical Transitions in Silicon Li, Pengke; Dery, Hanan Physical Review Letters, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevLett.105.037204	journal	July 2010
Observation of Exciton–Exciton Interaction Mediated Valley Depolarization in Monolayer MoSe ₂ Mahmood, Fahad; Alpichshev, Zhanybek; Lee, Yi-Hsien Nano Letters, Vol. 18, Issue 1 https://doi.org/10.1021/acs.nanolett.7b03953	journal	December 2017
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
Optical Spin Injection and Spin Lifetime in Ge Heterostructures Pezzoli, F.; Bottegoni, F.; Trivedi, D. Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.156603	journal	April 2012
Transport Theory of Monolayer Transition-Metal Dichalcogenides through Symmetry Song, Yang; Dery, Hanan Physical Review Letters, Vol. 111, Issue 2 https://doi.org/10.1103/PhysRevLett.111.026601	journal	July 2013
Binding energies and structures of two-dimensional excitonic complexes in transition metal dichalcogenides Kidd, Daniel W.; Zhang, David K.; Varga, Kálmán Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevB.93.125423	journal	March 2016
Spin and valley dynamics of excitons in transition metal dichalcogenide monolayers: Spin and valley dynamics of excitons in transition metal dichalcogenide monolayers Glazov, M. M.; Ivchenko, E. L.; Wang, G. physica status solidi (b), Vol. 252, Issue 11 https://doi.org/10.1002/pssb.201552211	journal	October 2015
Theory and application of explicitly correlated Gaussians Mitroy, Jim; Bubin, Sergiy; Horiuchi, Wataru Reviews of Modern Physics, Vol. 85, Issue 2 https://doi.org/10.1103/RevModPhys.85.693	journal	May 2013
Virtual Trions in the Photoluminescence of Monolayer Transition-Metal Dichalcogenides Van Tuan, Dinh; Jones, Aaron M.; Yang, Min Physical Review Letters, Vol. 122, Issue 21 https://doi.org/10.1103/PhysRevLett.122.217401	journal	May 2019
Spin and energy relaxation in germanium studied by spin-polarized direct-gap photoluminescence Pezzoli, Fabio; Qing, Lan; Giorgioni, Anna Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevB.88.045204	journal	July 2013
Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides Mak, Kin Fai; Shan, Jie Nature Photonics, Vol. 10, Issue 4 https://doi.org/10.1038/nphoton.2015.282	journal	March 2016
Precise solution of few-body problems with the stochastic variational method on a correlated Gaussian basis Varga, K.; Suzuki, Y. Physical Review C, Vol. 52, Issue 6 https://doi.org/10.1103/PhysRevC.52.2885	journal	December 1995
Exciton formation assisted by longitudinal optical phonons in monolayer transition metal dichalcogenides Thilagam, A. Journal of Applied Physics, Vol. 120, Issue 12 https://doi.org/10.1063/1.4963123	journal	September 2016
Phonon-limited mobility in $n$ -type single-layer MoS $_{2}$ from first principles Kaasbjerg, Kristen; Thygesen, Kristian S.; Jacobsen, Karsten W. Physical Review B, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevB.85.115317	journal	March 2012
Polarization analysis of excitons in monolayer and bilayer transition-metal dichalcogenides Dery, Hanan; Song, Yang Physical Review B, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevB.92.125431	journal	September 2015
Spin Accumulation and Dynamics in Inversion-Symmetric van der Waals Crystals Guimarães, M. H. D.; Koopmans, B. Physical Review Letters, Vol. 120, Issue 26 https://doi.org/10.1103/PhysRevLett.120.266801	journal	June 2018
Excitons and trions in monolayer transition metal dichalcogenides: A comparative study between the multiband model and the quadratic single-band model Van der Donck, M.; Zarenia, M.; Peeters, F. M. Physical Review B, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevB.96.035131	journal	July 2017
Exciton valley dynamics probed by Kerr rotation in ${WSe}_{2}$ monolayers Zhu, C. R.; Zhang, K.; Glazov, M. Physical Review B, Vol. 90, Issue 16 https://doi.org/10.1103/PhysRevB.90.161302	journal	October 2014
Temporal and spatial valley dynamics in two-dimensional semiconductors probed via Kerr rotation Huang, Jiani; Hoang, Thang B.; Ming, Tian Physical Review B, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevB.95.075428	journal	February 2017
Valley excitons in two-dimensional semiconductors Yu, Hongyi; Cui, Xiaodong; Xu, Xiaodong National Science Review, Vol. 2, Issue 1 https://doi.org/10.1093/nsr/nwu078	journal	December 2014
Magnetic field mixing and splitting of bright and dark excitons in monolayer MoSe ₂ Lu, Zhengguang; Rhodes, Daniel; Li, Zhipeng 2D Materials, Vol. 7, Issue 1 https://doi.org/10.1088/2053-1583/ab5614	journal	November 2019
Control of the Exciton Radiative Lifetime in van der Waals Heterostructures Fang, H. H.; Han, B.; Robert, C. Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/PhysRevLett.123.067401	journal	August 2019
Strain effects on the spin-orbit-induced band structure splittings in monolayer MoS $_{2}$ and graphene Cheiwchanchamnangij, Tawinan; Lambrecht, Walter R. L.; Song, Yang Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevB.88.155404	journal	October 2013
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
Valley depolarization due to intervalley and intravalley electron-hole exchange interactions in monolayer ${MoS}_{2}$ Yu, T.; Wu, M. W. Physical Review B, Vol. 89, Issue 20 https://doi.org/10.1103/PhysRevB.89.205303	journal	May 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
Fine structure and lifetime of dark excitons in transition metal dichalcogenide monolayers Robert, C.; Amand, T.; Cadiz, F. Physical Review B, Vol. 96, Issue 15 https://doi.org/10.1103/PhysRevB.96.155423	journal	October 2017
Excitonic properties of semiconducting monolayer and bilayer $MoT e_{2}$ Robert, C.; Picard, R.; Lagarde, D. Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevB.94.155425	journal	October 2016

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