Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers

doi:https://doi.org/10.1103/PhysRevB.97.035306

Title: Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers

Abstract

In this paper, we present a theory of optical absorption by interlayer excitons in a heterobilayer formed from transition metal dichalcogenides. The theory accounts for the presence of small relative rotations that produce a momentum shift between electron and hole bands located in different layers, and a moire pattern in real space. Because of the momentum shift, the optically active interlayer excitons are located at the moire Brillouin zone's corners, instead of at its center, and would have elliptical optical selection rules if the individual layers were translationally invariant. We show that the exciton moire potential energy restores circular optical selection rules by coupling excitons with different center of mass momenta. A variety of interlayer excitons with both senses of circular optical activity, and energies that are tunable by twist angle, are present at each valley. The lowest energy exciton states are generally localized near the exciton potential energy minima. Finally, we discuss the possibility of using the moire pattern to achieve scalable two-dimensional arrays of nearly identical quantum dots.

Authors:

Wu, Fengcheng ^[1]; Lovorn, Timothy ^[2]; MacDonald, A. H. ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Univ. of Texas, Austin, TX (United States). Department of Physics

Publication Date:: 2018-01-22

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; U.S. Army Research Laboratory - U.S. Army Research Office (ARO); Welch Foundation; USDOE

OSTI Identifier:: 1419946

Alternate Identifier(s):: OSTI ID: 1417696

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE

Citation Formats


                    Wu, Fengcheng, Lovorn, Timothy, and MacDonald, A. H. Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevB.97.035306.

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                    Wu, Fengcheng, Lovorn, Timothy, & MacDonald, A. H. Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers.  United States.  https://doi.org/10.1103/PhysRevB.97.035306

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                    Wu, Fengcheng, Lovorn, Timothy, and MacDonald, A. H. Mon .  
        "Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers".  United States.  https://doi.org/10.1103/PhysRevB.97.035306.  https://www.osti.gov/servlets/purl/1419946.

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@article{osti_1419946,

  title        = {Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers},

  author       = {Wu, Fengcheng and Lovorn, Timothy and MacDonald, A. H.},

  abstractNote = {In this paper, we present a theory of optical absorption by interlayer excitons in a heterobilayer formed from transition metal dichalcogenides. The theory accounts for the presence of small relative rotations that produce a momentum shift between electron and hole bands located in different layers, and a moire pattern in real space. Because of the momentum shift, the optically active interlayer excitons are located at the moire Brillouin zone's corners, instead of at its center, and would have elliptical optical selection rules if the individual layers were translationally invariant. We show that the exciton moire potential energy restores circular optical selection rules by coupling excitons with different center of mass momenta. A variety of interlayer excitons with both senses of circular optical activity, and energies that are tunable by twist angle, are present at each valley. The lowest energy exciton states are generally localized near the exciton potential energy minima. Finally, we discuss the possibility of using the moire pattern to achieve scalable two-dimensional arrays of nearly identical quantum dots.},

  doi          = {10.1103/PhysRevB.97.035306},

  url          = {https://www.osti.gov/biblio/1419946},
  journal      = {Physical Review B},

  issn         = {2469-9950},

  number       = 3,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {1}

}

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FIG. 1: (a) Illustration of AA stacking with a small twist angle θ and an in-plane displacement r ₀. The blue and red hexagons mark the Wigner-Seitz cells of the two layers. (b) The corresponding illustration of AB stacking. AA and AB stacking are distinguished by a rotation of ofmore »

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Role of weak interlayer coupling in ultrafast exciton-exciton annihilation in two-dimensional rhenium dichalcogenides

Journal Article Sim, Sangwan ; Lee, Doeon ; Lee, Jekwan ; ... - Physical Review B

Strong interactions between excitons are a characteristic feature of two-dimensional (2D) semiconductors, determining important excitonic properties, such as exciton lifetime, coherence, and photon-emission efficiency. Rhenium disulfide (ReS ₂), a member of the 2D transition-metal dichalcogenide (TMD) family, has recently attracted great attention due to its unique excitons that exhibit excellent polarization selectivity and coherence features. However, an in-depth understanding of exciton-exciton interactions in ReS ₂ is still lacking. In this work, we used ultrafast pump-probe spectroscopy to study exciton-exciton interactions in monolayer (1L), bilayer (2L), and triple layer ReS ₂. Additionally, we directly measure the rate of exciton-exciton annihilation, amore »« less
https://doi.org/10.1103/physrevb.101.174309

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Title: Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers

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journal, May 2012

Exciton fine structure and spin decoherence in monolayers of transition metal dichalcogenides
journal, May 2014

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions
journal, August 2014

Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene
journal, March 2017

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

Two-Step Growth of Two-Dimensional WSe ₂ /MoSe ₂ Heterostructures
journal, August 2015

QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009

Boson localization and the superfluid-insulator transition
journal, July 1989

Valley-polarized exciton dynamics in a 2D semiconductor heterostructure
journal, February 2016

Valley-selective optical Stark effect in monolayer WS2
journal, December 2014

Optical Spectrum of ${MoS}_{2}$ : Many-Body Effects and Diversity of Exciton States
journal, November 2013

Large, valley-exclusive Bloch-Siegert shift in monolayer WS ₂
journal, March 2017

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

Moiré assisted fractional quantum Hall state spectroscopy
journal, December 2016

Anomalous Light Cones and Valley Optical Selection Rules of Interlayer Excitons in Twisted Heterobilayers
journal, October 2015

The valley Hall effect in MoS2 transistors
journal, June 2014

Evolution of interlayer coupling in twisted molybdenum disulfide bilayers
journal, September 2014

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

Systematic study of electronic structure and band alignment of monolayer transition metal dichalcogenides in Van der Waals heterostructures
journal, November 2016

Tunable Exciton Funnel Using Moiré Superlattice in Twisted van der Waals Bilayer
journal, August 2014

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

Theory of two-dimensional spatially indirect equilibrium exciton condensates
journal, October 2015

Topological Exciton Bands in Moiré Heterojunctions
journal, April 2017

Interlayer couplings, Moiré patterns, and 2D electronic superlattices in MoS ₂ /WSe ₂ hetero-bilayers
journal, January 2017

Moiré excitons: From programmable quantum emitter arrays to spin-orbit–coupled artificial lattices
journal, November 2017

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

Gaps induced by inversion symmetry breaking and second-generation Dirac cones in graphene/hexagonal boron nitride
journal, August 2016

Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
journal, May 2013

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

Vertical and in-plane heterostructures from WS₂/MoS₂ monolayers
journal, September 2014

Cloning of Dirac fermions in graphene superlattices
journal, May 2013

Ising pairing in superconducting NbSe2 atomic layers
journal, November 2015

High-temperature superfluidity with indirect excitons in van der Waals heterostructures
journal, July 2014

Exciton band structure of monolayer ${MoS}_{2}$
journal, February 2015

Ultrafast charge transfer in atomically thin MoS2/WS2 heterostructures
journal, August 2014

Moire bands in twisted double-layer graphene
journal, July 2011

Ab initio theory of moiré superlattice bands in layered two-dimensional materials
journal, May 2014

Edge conduction in monolayer WTe2
journal, April 2017

Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure
journal, May 2013

Ultrafast generation of pseudo-magnetic field for valley excitons in WSe ₂ monolayers
journal, December 2014

Topological mosaics in moiré superlattices of van der Waals heterobilayers
journal, November 2016

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

Spectroscopic Signatures for Interlayer Coupling in MoS ₂ –WSe ₂ van der Waals Stacking
journal, August 2014

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

Valley depolarization due to intervalley and intravalley electron-hole exchange interactions in monolayer ${MoS}_{2}$
journal, May 2014

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

Observation of long-lived interlayer excitons in monolayer MoSe2–WSe2 heterostructures
journal, February 2015

Determination of band offsets, hybridization, and exciton binding in 2D semiconductor heterostructures
journal, February 2017

Emergence of superlattice Dirac points in graphene on hexagonal boron nitride
journal, March 2012

Inorganic 2D Luminescent Materials: Structure, Luminescence Modulation, and Applications
journal, October 2019

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

Cavity-control of interlayer excitons in van der Waals heterostructures
journal, August 2019

Ultrafast dynamics in van der Waals heterostructures
journal, November 2018

Polarization switching and electrical control of interlayer excitons in two-dimensional van der Waals heterostructures
journal, December 2018

Identification of spin, valley and moiré quasi-angular momentum of interlayer excitons
journal, August 2019

Signatures of moiré-trapped valley excitons in MoSe2/WSe2 heterobilayers
journal, February 2019

Evidence for moiré excitons in van der Waals heterostructures
journal, February 2019

Observation of moiré excitons in WSe2/WS2 heterostructure superlattices
journal, February 2019

Exciton physics and device application of two-dimensional transition metal dichalcogenide semiconductors
journal, September 2018

Interlayer exciton dynamics in van der Waals heterostructures
journal, February 2019

Impact of photodoping on inter- and intralayer exciton emission in a MoS ₂ /MoSe ₂ /MoS ₂ heterostructure
journal, August 2018

Optical control of the layer degree of freedom through Wannier–Stark states in polar 3R MoS ₂
journal, May 2019

Brightened spin-triplet interlayer excitons and optical selection rules in van der Waals heterobilayers
journal, May 2018

Magnetic Proximity Effect in a van der Waals Moiré Superlattice
journal, August 2019

Twist, slip, and circular dichroism in bilayer graphene
journal, September 2019

Modulated interlayer exciton properties in a two-dimensional moiré crystal
journal, October 2019

Interlayer and intralayer excitons in ${MoS}_{2} / {WS}_{2}$ and ${MoSe}_{2} / {WSe}_{2}$ heterobilayers
journal, June 2018

Interlayer hybridization and moiré superlattice minibands for electrons and excitons in heterobilayers of transition-metal dichalcogenides
journal, March 2019

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
journal, May 2019

Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands
journal, July 2018

Quantum Nonlinear Optics in Atomically Thin Materials
journal, September 2018

Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
journal, December 2018

Topological Insulators in Twisted Transition Metal Dichalcogenide Homobilayers
journal, February 2019

Enhancing functionalities of atomically thin semiconductors with plasmonic nanostructures
journal, March 2019