Magnetic control of valley pseudospin in monolayer WSe2

Aivazian, G.; Gong, Zhirui; Jones, Aaron M.; Chu, Rui-Lin; Yan, J.; Mandrus, D. G.; Zhang, Chuanwei; Cobden, David; Yao, Wang; Xu, X.

doi:10.1038/nphys3201

Title: Magnetic control of valley pseudospin in monolayer WSe₂

Abstract

Local energy extrema of the bands in momentum space, or valleys, can endow electrons in solids with pseudo-spin in addition to real spin^1-5. In transition metal dichalcogenides this valley pseudo-spin, like real spin, is associated with a magnetic moment1,6 which underlies the valley-dependent circular dichroism⁶ that allows optical generation of valley polarization^7-9, intervalley quantum coherence¹⁰, and the valley Hall effect¹¹. However, magnetic manipulation of valley pseudospin via this magnetic moment^12-13, analogous to what is possible with real spin, has not been shown before. Here we report observation of the valley Zeeman splitting and magnetic tuning of polarization and coherence of the excitonic valley pseudospin, by performing polarization-resolved magneto-photoluminescence on monolayer WSe₂. Our measurements reveal both the atomic orbital and lattice contributions to the valley orbital magnetic moment; demonstrate the deviation of the band edges in the valleys from an exact massive Dirac fermion model; and reveal a striking difference between the magnetic responses of neutral and charged valley excitons which is explained by renormalization of the excitonic spectrum due to strong exchange interactions.

Authors:

Aivazian, G. ^[1]; Gong, Zhirui ^[2]; Jones, Aaron M. ^[1]; Chu, Rui-Lin ^[3]; Yan, J. ^[4]; Mandrus, D. G. ^[4]; Zhang, Chuanwei ^[3]; Cobden, David ^[1]; Yao, Wang ^[2]; Xu, X. ^[1]

Univ. of Washington, Seattle, WA (United States)
Univ. of Hong Kong, Hong Kong (China)
Univ. of Texas-Dallas, Richardson, TX (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science & Technology Division; Univ. of Tennessee, Knoxville, TN (United States)

Publication Date:: Mon Jan 26 00:00:00 EST 2015

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:: 1265429

Grant/Contract Number:: AC05-00OR22725; SC0008145; SC0002197; HKU705513P; HKU9/CRF/13G; AoE/P-04/08

Resource Type:: Accepted Manuscript

Journal Name:: Nature Physics

Additional Journal Information:: Journal Volume: 11; Journal Issue: 2; Journal ID: ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Aivazian, G., Gong, Zhirui, Jones, Aaron M., Chu, Rui-Lin, Yan, J., Mandrus, D. G., Zhang, Chuanwei, Cobden, David, Yao, Wang, and Xu, X. Magnetic control of valley pseudospin in monolayer WSe2.  United States: N. p., 2015. 
Web.  doi:10.1038/nphys3201.

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                    Aivazian, G., Gong, Zhirui, Jones, Aaron M., Chu, Rui-Lin, Yan, J., Mandrus, D. G., Zhang, Chuanwei, Cobden, David, Yao, Wang, & Xu, X. Magnetic control of valley pseudospin in monolayer WSe2.  United States.  https://doi.org/10.1038/nphys3201

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                    Aivazian, G., Gong, Zhirui, Jones, Aaron M., Chu, Rui-Lin, Yan, J., Mandrus, D. G., Zhang, Chuanwei, Cobden, David, Yao, Wang, and Xu, X. Mon .  
"Magnetic control of valley pseudospin in monolayer WSe2".  United States.  https://doi.org/10.1038/nphys3201.  https://www.osti.gov/servlets/purl/1265429.

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@article{osti_1265429,

  title        = {Magnetic control of valley pseudospin in monolayer WSe2},

  author       = {Aivazian, G. and Gong, Zhirui and Jones, Aaron M. and Chu, Rui-Lin and Yan, J. and Mandrus, D. G. and Zhang, Chuanwei and Cobden, David and Yao, Wang and Xu, X.},

  abstractNote = {Local energy extrema of the bands in momentum space, or valleys, can endow electrons in solids with pseudo-spin in addition to real spin1-5. In transition metal dichalcogenides this valley pseudo-spin, like real spin, is associated with a magnetic moment1,6 which underlies the valley-dependent circular dichroism6 that allows optical generation of valley polarization7-9, intervalley quantum coherence10, and the valley Hall effect11. However, magnetic manipulation of valley pseudospin via this magnetic moment12-13, analogous to what is possible with real spin, has not been shown before. Here we report observation of the valley Zeeman splitting and magnetic tuning of polarization and coherence of the excitonic valley pseudospin, by performing polarization-resolved magneto-photoluminescence on monolayer WSe2. Our measurements reveal both the atomic orbital and lattice contributions to the valley orbital magnetic moment; demonstrate the deviation of the band edges in the valleys from an exact massive Dirac fermion model; and reveal a striking difference between the magnetic responses of neutral and charged valley excitons which is explained by renormalization of the excitonic spectrum due to strong exchange interactions.},

  doi          = {10.1038/nphys3201},

  journal      = {Nature Physics},

  number       = 2,

  volume       = 11,

  place        = {United States},

  year         = {Mon Jan 26 00:00:00 EST 2015},

  month        = {Mon Jan 26 00:00:00 EST 2015}

}

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DOI: 10.1021/acs.nanolett.6b02038

Valley Polarization by Spin Injection in a Light-Emitting van der Waals Heterojunction
journal, August 2016

Sanchez, Oriol Lopez; Ovchinnikov, Dmitry; Misra, Shikhar
Nano Letters, Vol. 16, Issue 9
DOI: 10.1021/acs.nanolett.6b02527

Microsecond dark-exciton valley polarization memory in two-dimensional heterostructures
journal, February 2018

Jiang, Chongyun; Xu, Weigao; Rasmita, Abdullah
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-03174-3

Evidence for line width and carrier screening effects on excitonic valley relaxation in 2D semiconductors
journal, July 2018

Miyauchi, Yuhei; Konabe, Satoru; Wang, Feijiu
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-04988-x

Emerging photoluminescence from the dark-exciton phonon replica in monolayer WSe2
journal, June 2019

Li, Zhipeng; Wang, Tianmeng; Jin, Chenhao
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-10477-6

Enhancing and controlling valley magnetic response in MoS2/WS2 heterostructures by all-optical route
journal, September 2019

Zhang, Jing; Du, Luojun; Feng, Shun
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-12128-2

Gate controlled valley polarizer in bilayer graphene
journal, March 2020

Chen, Hao; Zhou, Pinjia; Liu, Jiawei
Nature Communications, Vol. 11, Issue 1
DOI: 10.1038/s41467-020-15117-y

Giant Valley Coherence at Room Temperature in 3R WS ₂ with Broken Inversion Symmetry
journal, October 2019

Du, Luojun; Tang, Jian; Liang, Jing
Research, Vol. 2019
DOI: 10.34133/2019/6494565

Valley-selective directional emission from a transition-metal dichalcogenide monolayer mediated by a plasmonic nanoantenna
journal, January 2018

Chen, Haitao; Liu, Mingkai; Xu, Lei
Beilstein Journal of Nanotechnology, Vol. 9
DOI: 10.3762/bjnano.9.71

Valley coherent exciton-polaritons in a monolayer semiconductor
text, January 2018

Dufferwiel, S.; Lyons, T. P.; Solnyshkov, D. D.
arXiv
DOI: 10.48550/arxiv.1804.09108

Giant Valley Splitting in Monolayer WS2 by Magnetic Proximity Effect
text, January 2019

Norden, Tenzin; Zhao, Chuan; Zhang, Peiyao
arXiv
DOI: 10.48550/arxiv.1902.05910

Valley Phonons and Exciton Complexes in a Monolayer Semiconductor
text, January 2020

He, Minhao; Rivera, Pasqual; Van Tuan, Dinh
arXiv
DOI: 10.48550/arxiv.2001.01769

Giant magnetic splitting inducing near-unity valley polarization in van der Waals heterostructures
text, January 2017

Nagler, Philipp; Ballottin, Mariana V.; Mitioglu, Anatolie A.
Universität Regensburg
DOI: 10.5283/epub.36370

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Similar Records

Title: Magnetic control of valley pseudospin in monolayer WSe2

Abstract

Citation Formats

Quantized conductance in an AlAs two-dimensional electron system quantum point contact journal, October 2006

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

Valley dynamics probed through charged and neutral exciton emission in monolayer WSe 2 journal, August 2014

Carrier and Polarization Dynamics in Monolayer MoS 2 journal, January 2014

Valley filter and valley valve in graphene journal, February 2007

Optical generation of excitonic valley coherence in monolayer WSe2 journal, August 2013

Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in Dirac Materials: Application to an Isolated MoS 2 Trilayer journal, February 2013

Tightly Bound Excitons in Monolayer WSe 2 journal, July 2014

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

Electrical tuning of valley magnetic moment through symmetry control in bilayer MoS2 journal, January 2013

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

Valley Susceptibility of an Interacting Two-Dimensional Electron System journal, November 2006

Direct Imaging of Band Profile in Single Layer MoS 2 on Graphite: Quasiparticle Energy Gap, Metallic Edge States, and Edge Band Bending journal, April 2014

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

Probing excitonic dark states in single-layer tungsten disulphide journal, August 2014

Spin–layer locking effects in optical orientation of exciton spin in bilayer WSe2 journal, January 2014

The valley Hall effect in MoS2 transistors journal, June 2014

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

Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS 2 journal, August 2014

Monolayer MoS 2 : Trigonal warping, the Γ valley, and spin-orbit coupling effects journal, July 2013

Field-induced polarization of Dirac valleys in bismuth journal, October 2011

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

Giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor journal, August 2014

Valley polarization in MoS2 monolayers by optical pumping journal, June 2012

Exciton Binding Energy of Monolayer WS2 journal, March 2015

Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides journal, May 2014

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

Direct imaging of the band profile in single layer ${\small MoS_2}$ on graphite: quasiparticle energy gap, metallic edge states and edge band bending text, January 2014

Atomically Thin MoS 2 : A Versatile Nongraphene 2D Material journal, February 2016

Epitaxial Stitching and Stacking Growth of Atomically Thin Transition-Metal Dichalcogenides (TMDCs) Heterojunctions journal, January 2017

Continuous Control and Enhancement of Excitonic Valley Polarization in Monolayer WSe 2 by Electrostatic Doping journal, March 2019

Phase‐Tunable Synthesis of Ultrathin Layered Tetragonal CoSe and Nonlayered Hexagonal CoSe Nanoplates journal, April 2019

Synthesis of Co‐Doped MoS 2 Monolayers with Enhanced Valley Splitting journal, February 2020

Light Emission Properties of 2D Transition Metal Dichalcogenides: Fundamentals and Applications journal, August 2018

Recent Advances in van der Waals Heterojunctions Based on Semiconducting Transition Metal Dichalcogenides journal, August 2018

Spin and valley dynamics of excitons in transition metal dichalcogenide monolayers: Spin and valley dynamics of excitons in transition metal dichalcogenide monolayers journal, October 2015

Probing and Tuning the Spin Textures of the K and Q Valleys in Few‐Layer MoS 2 journal, May 2019

Even–odd layer-dependent magnetotransport of high-mobility Q-valley electrons in transition metal disulfides journal, September 2016

Directional interlayer spin-valley transfer in two-dimensional heterostructures journal, December 2016

Robust reconfigurable electromagnetic pathways within a photonic topological insulator journal, February 2016

Optically active quantum dots in monolayer WSe2 journal, May 2015

Single quantum emitters in monolayer semiconductors journal, May 2015

Enhanced valley splitting in monolayer WSe2 due to magnetic exchange field journal, May 2017

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

Microsecond dark-exciton valley polarization memory in two-dimensional heterostructures journal, February 2018

Revealing the biexciton and trion-exciton complexes in BN encapsulated WSe2 journal, September 2018

Beating the exclusion rule against the coexistence of robust luminescence and ferromagnetism in chalcogenide monolayers journal, April 2019

The valley Zeeman effect in inter- and intra-valley trions in monolayer WSe2 journal, May 2019

Enhancing and controlling valley magnetic response in MoS2/WS2 heterostructures by all-optical route journal, September 2019

Repairing atomic vacancies in single-layer MoSe2 field-effect transistor and its defect dynamics journal, March 2017

Giant spin-valley polarization and multiple Hall effect in functionalized bismuth monolayers journal, August 2018

Ambipolar Landau levels and strong band-selective carrier interactions in monolayer WSe2 journal, March 2018

Optical initialization of a single spin-valley in charged WSe2 quantum dots journal, March 2019

Light–valley interactions in 2D semiconductors journal, July 2018

Valley optomechanics in a monolayer semiconductor journal, May 2019

Enhanced interlayer neutral excitons and trions in trilayer van der Waals heterostructures journal, September 2018

Tunable Valley Polarization and Valley Orbital Magnetic Moment Hall Effect in Honeycomb Systems with Broken Inversion Symmetry journal, September 2015

Controlling the spin and valley degeneracy splitting in monolayer MnPSe 3 by atom doping journal, January 2017

Large valley polarization in monolayer MoTe 2 on a magnetic substrate journal, January 2018

Tunable valley and spin splitting in 2 H -VSe 2 /BiFeO 3 (111) triferroic heterostructures journal, January 2019

Biaxial strain induced band transition and valley–spin coupling in the ferromagnetic semiconducting WSe 2 /1T-FeCl 2 heterostructure journal, January 2019

Robust ferromagnetism in Mn-doped MoS 2 nanostructures journal, August 2016

Valley Zeeman splitting of monolayer MoS 2 probed by low-field magnetic circular dichroism spectroscopy at room temperature journal, April 2018

Valleytronic properties of monolayer WSe 2 in external magnetic field journal, April 2019

Geometric band properties in strained monolayer transition metal dichalcogenides using simple band structures journal, September 2019

Valley switch effect based on monolayer WSe 2 modulated by circularly polarized light and valley Zeeman field journal, June 2019

Optically dark excitonic states mediated exciton and biexciton valley dynamics in monolayer WSe 2 journal, June 2018

Effects of a magnetic field on the optoelectronic properties of mono- and bi-layer transition metal dichalcogenides journal, June 2018

Long-lived photoluminescence polarization of localized excitons in liquid exfoliated monolayer enriched WS 2 journal, June 2018

WSe 2 /Au vertical Schottky junction photodetector with low dark current and fast photoresponse journal, September 2018

Transient photoconductivity and free carrier dynamics in a monolayer WS 2 probed by time resolved Terahertz spectroscopy journal, April 2019

k · p theory for two-dimensional transition metal dichalcogenide semiconductors journal, April 2015

Magnetic brightening, large valley Zeeman splitting, and dynamics of long-lived A and B dark excitonic states in monolayer WS 2 journal, September 2019

Robust circular polarization of indirect Q-K transitions in bilayer 3 R − W S 2 journal, October 2019

Valley polarization reversal and spin ferromagnetism and antiferromagnetism in quantum dots of the topological insulator monolayer bismuthene on SiC journal, October 2019

Magneto-optical transport properties of monolayer transition metal dichalcogenides journal, January 2020

Hole spin relaxation in bilayer WSe 2 journal, October 2015

Title: Magnetic control of valley pseudospin in monolayer WSe₂

Quantized conductance in an AlAs two-dimensional electron system quantum point contact
journal, October 2006

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

Valley dynamics probed through charged and neutral exciton emission in monolayer ${WSe}_{2}$
journal, August 2014

Carrier and Polarization Dynamics in Monolayer ${MoS}_{2}$
journal, January 2014

Valley filter and valley valve in graphene
journal, February 2007

Optical generation of excitonic valley coherence in monolayer WSe2
journal, August 2013

Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in Dirac Materials: Application to an Isolated ${MoS}_{2}$ Trilayer
journal, February 2013

Tightly Bound Excitons in Monolayer ${WSe}_{2}$
journal, July 2014

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

Electrical tuning of valley magnetic moment through symmetry control in bilayer MoS2
journal, January 2013

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

Valley Susceptibility of an Interacting Two-Dimensional Electron System
journal, November 2006

Direct Imaging of Band Profile in Single Layer MoS ₂ on Graphite: Quasiparticle Energy Gap, Metallic Edge States, and Edge Band Bending
journal, April 2014

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

Probing excitonic dark states in single-layer tungsten disulphide
journal, August 2014

Spin–layer locking effects in optical orientation of exciton spin in bilayer WSe2
journal, January 2014

The valley Hall effect in MoS2 transistors
journal, June 2014

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

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

Monolayer MoS $_{2}$ : Trigonal warping, the $Γ$ valley, and spin-orbit coupling effects
journal, July 2013

Field-induced polarization of Dirac valleys in bismuth
journal, October 2011

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

Giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor
journal, August 2014

Valley polarization in MoS2 monolayers by optical pumping
journal, June 2012

Exciton Binding Energy of Monolayer WS2
journal, March 2015

Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides
journal, May 2014

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

Direct imaging of the band profile in single layer ${\small MoS_2}$ on graphite: quasiparticle energy gap, metallic edge states and edge band bending
text, January 2014

Atomically Thin MoS ₂ : A Versatile Nongraphene 2D Material
journal, February 2016

Epitaxial Stitching and Stacking Growth of Atomically Thin Transition-Metal Dichalcogenides (TMDCs) Heterojunctions
journal, January 2017

Continuous Control and Enhancement of Excitonic Valley Polarization in Monolayer WSe ₂ by Electrostatic Doping
journal, March 2019

Phase‐Tunable Synthesis of Ultrathin Layered Tetragonal CoSe and Nonlayered Hexagonal CoSe Nanoplates
journal, April 2019

Synthesis of Co‐Doped MoS ₂ Monolayers with Enhanced Valley Splitting
journal, February 2020

Light Emission Properties of 2D Transition Metal Dichalcogenides: Fundamentals and Applications
journal, August 2018

Recent Advances in van der Waals Heterojunctions Based on Semiconducting Transition Metal Dichalcogenides
journal, August 2018

Spin and valley dynamics of excitons in transition metal dichalcogenide monolayers: Spin and valley dynamics of excitons in transition metal dichalcogenide monolayers
journal, October 2015

Probing and Tuning the Spin Textures of the K and Q Valleys in Few‐Layer MoS ₂
journal, May 2019

Even–odd layer-dependent magnetotransport of high-mobility Q-valley electrons in transition metal disulfides
journal, September 2016

Directional interlayer spin-valley transfer in two-dimensional heterostructures
journal, December 2016

Robust reconfigurable electromagnetic pathways within a photonic topological insulator
journal, February 2016

Optically active quantum dots in monolayer WSe2
journal, May 2015

Single quantum emitters in monolayer semiconductors
journal, May 2015

Enhanced valley splitting in monolayer WSe2 due to magnetic exchange field
journal, May 2017

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

Microsecond dark-exciton valley polarization memory in two-dimensional heterostructures
journal, February 2018

Revealing the biexciton and trion-exciton complexes in BN encapsulated WSe2
journal, September 2018

Beating the exclusion rule against the coexistence of robust luminescence and ferromagnetism in chalcogenide monolayers
journal, April 2019

The valley Zeeman effect in inter- and intra-valley trions in monolayer WSe2
journal, May 2019

Enhancing and controlling valley magnetic response in MoS2/WS2 heterostructures by all-optical route
journal, September 2019

Repairing atomic vacancies in single-layer MoSe2 field-effect transistor and its defect dynamics
journal, March 2017

Giant spin-valley polarization and multiple Hall effect in functionalized bismuth monolayers
journal, August 2018

Ambipolar Landau levels and strong band-selective carrier interactions in monolayer WSe2
journal, March 2018

Optical initialization of a single spin-valley in charged WSe2 quantum dots
journal, March 2019

Light–valley interactions in 2D semiconductors
journal, July 2018

Valley optomechanics in a monolayer semiconductor
journal, May 2019

Enhanced interlayer neutral excitons and trions in trilayer van der Waals heterostructures
journal, September 2018

Tunable Valley Polarization and Valley Orbital Magnetic Moment Hall Effect in Honeycomb Systems with Broken Inversion Symmetry
journal, September 2015

Controlling the spin and valley degeneracy splitting in monolayer MnPSe ₃ by atom doping
journal, January 2017

Large valley polarization in monolayer MoTe ₂ on a magnetic substrate
journal, January 2018

Tunable valley and spin splitting in 2 H -VSe ₂ /BiFeO ₃ (111) triferroic heterostructures
journal, January 2019

Biaxial strain induced band transition and valley–spin coupling in the ferromagnetic semiconducting WSe ₂ /1T-FeCl ₂ heterostructure
journal, January 2019

Robust ferromagnetism in Mn-doped MoS ₂ nanostructures
journal, August 2016

Valley Zeeman splitting of monolayer MoS ₂ probed by low-field magnetic circular dichroism spectroscopy at room temperature
journal, April 2018

Valleytronic properties of monolayer WSe ₂ in external magnetic field
journal, April 2019

Geometric band properties in strained monolayer transition metal dichalcogenides using simple band structures
journal, September 2019

Valley switch effect based on monolayer WSe ₂ modulated by circularly polarized light and valley Zeeman field
journal, June 2019

Optically dark excitonic states mediated exciton and biexciton valley dynamics in monolayer WSe ₂
journal, June 2018

Effects of a magnetic field on the optoelectronic properties of mono- and bi-layer transition metal dichalcogenides
journal, June 2018

Long-lived photoluminescence polarization of localized excitons in liquid exfoliated monolayer enriched WS ₂
journal, June 2018

WSe ₂ /Au vertical Schottky junction photodetector with low dark current and fast photoresponse
journal, September 2018

Transient photoconductivity and free carrier dynamics in a monolayer WS ₂ probed by time resolved Terahertz spectroscopy
journal, April 2019

k · p theory for two-dimensional transition metal dichalcogenide semiconductors
journal, April 2015

Magnetic brightening, large valley Zeeman splitting, and dynamics of long-lived A and B dark excitonic states in monolayer ${WS}_{2}$
journal, September 2019

Robust circular polarization of indirect Q-K transitions in bilayer $3 R - W S_{2}$
journal, October 2019

Valley polarization reversal and spin ferromagnetism and antiferromagnetism in quantum dots of the topological insulator monolayer bismuthene on SiC
journal, October 2019

Magneto-optical transport properties of monolayer transition metal dichalcogenides
journal, January 2020

Hole spin relaxation in bilayer ${WSe}_{2}$
journal, October 2015

Quantum magnetotransport properties of a ${MoS}_{2}$ monolayer
journal, January 2016

Valley-dependent band structure and valley polarization in periodically modulated graphene
journal, August 2016