Topological Exciton Bands in Moire Heterojunctions.

Wu, Fengcheng; Lovorn, Timothy; MacDonald, A. H.

doi:10.1103/PhysRevLett.118.147401

Title: Topological Exciton Bands in Moire Heterojunctions.

Abstract

Moire patterns are common in Van der Waals heterostructures and can be used to apply periodic potentials to elementary excitations. Here, we show that the optical absorption spectrum of transition metal dichalcogenide bilayers is profoundly altered by long period moire patterns that introduce twist-angle dependent satellite excitonic peaks. Topological exciton bands with non-zero Chern numbers that support chiral excitonic edge states can be engineered by combining three ingredients: i) the valley Berry phase induced by electron-hole exchange interactions, ii) the moire potential, and iii) the valley Zeeman field.

Authors:

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

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

Publication Date:: Wed Apr 05 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Welch foundation

OSTI Identifier:: 1352892

Alternate Identifier(s):: OSTI ID: 1349974

Grant/Contract Number:: AC02-06CH11357; SC0012670

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 118; Journal Issue: 14; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Wu, Fengcheng, Lovorn, Timothy, and MacDonald, A. H. Topological Exciton Bands in Moire Heterojunctions..  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevLett.118.147401.

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                    Wu, Fengcheng, Lovorn, Timothy, & MacDonald, A. H. Topological Exciton Bands in Moire Heterojunctions..  United States.  https://doi.org/10.1103/PhysRevLett.118.147401

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                    Wu, Fengcheng, Lovorn, Timothy, and MacDonald, A. H. Wed .  
"Topological Exciton Bands in Moire Heterojunctions.".  United States.  https://doi.org/10.1103/PhysRevLett.118.147401.  https://www.osti.gov/servlets/purl/1352892.

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@article{osti_1352892,

  title        = {Topological Exciton Bands in Moire Heterojunctions.},

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

  abstractNote = {Moire patterns are common in Van der Waals heterostructures and can be used to apply periodic potentials to elementary excitations. Here, we show that the optical absorption spectrum of transition metal dichalcogenide bilayers is profoundly altered by long period moire patterns that introduce twist-angle dependent satellite excitonic peaks. Topological exciton bands with non-zero Chern numbers that support chiral excitonic edge states can be engineered by combining three ingredients: i) the valley Berry phase induced by electron-hole exchange interactions, ii) the moire potential, and iii) the valley Zeeman field.},

  doi          = {10.1103/PhysRevLett.118.147401},

  journal      = {Physical Review Letters},

  number       = 14,

  volume       = 118,

  place        = {United States},

  year         = {Wed Apr 05 00:00:00 EDT 2017},

  month        = {Wed Apr 05 00:00:00 EDT 2017}

}

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In van der Waals (vdW) heterostructures formed by stacking two monolayers of transition metal dichalcogenides, multiple exciton resonances with highly tunable properties are formed and subject to both vertical and lateral confinement. We investigate how a unique control knob, the twist angle between the two monolayers, can be used to control the exciton dynamics. We observe that the interlayer exciton lifetimes in MoSe₂/WSe₂ twisted bilayers (TBLs) change by one order of magnitude when the twist angle is varied from 1° to 3.5°. Additionally, using a low-energy continuum model, we theoretically separate two leading mechanisms that influence interlayer exciton radiative lifetimes.more »« less
https://doi.org/10.1103/physrevlett.126.047401

Full Text Available
Twist-angle dependence of moiré excitons in WS₂/MoSe₂ heterobilayers

Journal Article Zhang, Long ; Zhang, Zhe ; Wu, Fengcheng ; ... - Nature Communications

Moiré lattices formed in twisted van der Waals bilayers provide a unique, tunable platform to realize coupled electron or exciton lattices unavailable before. While twist angle between the bilayer has been shown to be a critical parameter in engineering the moiré potential and enabling novel phenomena in electronic moiré systems, a systematic experimental study as a function of twist angle is still missing. Here we show that not only are moiré excitons robust in bilayers of even large twist angles, but also properties of the moiré excitons are dependant on, and controllable by, the moiré reciprocal lattice period via twist-anglemore »« less
https://doi.org/10.1038/s41467-020-19466-6

Full Text Available
Moiré potential impedes interlayer exciton diffusion in van der Waals heterostructures

Journal Article Choi, Junho ; Hsu, Wei-Ting ; Lu, Li-Syuan ; ... - Science Advances

The properties of van der Waals heterostructures are drastically altered by a tunable moiré superlattice arising from periodically varying atomic alignment between the layers. Exciton diffusion represents an important channel of energy transport in transition metal dichalcogenides (TMDs). While early studies performed on TMD heterobilayers suggested that carriers and excitons exhibit long diffusion, a rich variety of scenarios can exist. In a moiré crystal with a large supercell and deep potential, interlayer excitons may be completely localized. As the moiré period reduces at a larger twist angle, excitons can tunnel between supercells and diffuse over a longer lifetime. The diffusionmore »« less
Cited by 43
https://doi.org/10.1126/sciadv.aba8866
Identification of spin, valley and moiré quasi-angular momentum of interlayer excitons

Journal Article Jin, Chenhao ; Regan, Emma C ; Wang, Danqing ; ... - Nature Physics

Moiré superlattices provide a powerful way to engineer properties of electrons and excitons in two-dimensional van der Waals heterostructures. The moir\'e effect can be especially strong for interlayer excitons, where electrons and holes reside in different layers and can be addressed separately. In particular, it was recently proposed that the moiré superlattice potential not only localizes interlayer exciton states at different superlattice positions, but also hosts an emerging moiré quasi-angular momentum (QAM) that periodically switches the optical selection rules for interlayer excitons at different moiré sites. Here we report the observation of multiple interlayer exciton states coexisting in a WSe₂/WS₂more »« less
Cited by 65
https://doi.org/10.1038/s41567-019-0631-4

Full Text Available

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Title: Topological Exciton Bands in Moire Heterojunctions.

Abstract

Citation Formats

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

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

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

Topological magnetoplasmon journal, November 2016

Chiral plasmons without magnetic field journal, April 2016

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

Topological polaritons and excitons in garden-variety systems journal, April 2015

Emerging Photoluminescence in Monolayer MoS2 journal, April 2010

Strong interlayer coupling in van der Waals heterostructures built from single-layer chalcogenides journal, April 2014

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

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

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

Topologically protected excitons in porphyrin thin films journal, September 2014

Optimized norm-conserving Vanderbilt pseudopotentials journal, August 2013

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

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

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

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

Polariton Z Topological Insulator journal, March 2015

Pseudopotentials periodic table: From H to Pu journal, December 2014

Nonanalyticity, Valley Quantum Phases, and Lightlike Exciton Dispersion in Monolayer Transition Metal Dichalcogenides: Theory and First-Principles Calculations 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

Thickness and strain effects on electronic structures of transition metal dichalcogenides: 2H- M X 2 semiconductors ( M = Mo, W; X = S, Se, Te) journal, January 2012

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

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 Polaritons journal, July 2015

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

Cloning of Dirac fermions in graphene superlattices journal, May 2013

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

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

Exciton band structure of monolayer MoS 2 journal, February 2015

Spin-dependent coherent transport of two-dimensional excitons journal, April 2016

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

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

Self-interaction correction to density-functional approximations for many-electron systems journal, May 1981

Optimization algorithm for the generation of ONCV pseudopotentials journal, November 2015

Computational 2D Materials Database: Electronic Structure of Transition-Metal Dichalcogenides and Oxides journal, June 2015

Valley Zeeman effect in elementary optical excitations of monolayer WSe2 journal, January 2015

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

Magnetic control of valley pseudospin in monolayer WSe2 journal, January 2015

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

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

Moire bands in twisted double-layer graphene text, January 2010

Cloning of Dirac fermions in graphene superlattices text, January 2012

Exciton fine structure and spin decoherence in monolayers of transition metal dichalcogenides text, January 2014

Probing Excitonic Dark States in Single-layer Tungsten Disulfide text, January 2014

High-temperature superfluidity with indirect excitons in van der Waals heterostructures text, January 2014

Topologically protected excitons in porphyrin thin films text, January 2014

Topological Polaritons text, January 2014

Valley-selective optical Stark effect in monolayer WS2 text, January 2014

Ultrafast Generation of Pseudo-magnetic Field for Valley Excitons in WSe2 Monolayers text, January 2014

Valley Zeeman Effect in Elementary Optical Excitations of a Monolayer WSe2 text, January 2014

Anomalous light cones and valley optical selection rules of interlayer excitons in twisted heterobilayers text, January 2015

Theory of Two-Dimensional Spatially Indirect Equilibrium Exciton Condensates text, January 2015

Computational 2D Materials Database: Electronic Structure of Transition-Metal Dichalcogenides and Oxides text, January 2015

Chiral plasmons without magnetic field text, January 2015

Recent Progress on Exciton Polaritons in Layered Transition‐Metal Dichalcogenides journal, September 2019

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

Negative circular polarization emissions from WSe2/MoSe2 commensurate heterobilayers journal, April 2018

Observation of bosonic condensation in a hybrid monolayer MoSe2-GaAs microcavity journal, August 2018

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

Soliton superlattices in twisted hexagonal boron nitride journal, September 2019

Interlayer valley excitons in heterobilayers of transition metal dichalcogenides journal, August 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

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

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

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

Topological magnetoplasmon
journal, November 2016

Chiral plasmons without magnetic field
journal, April 2016

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

Topological polaritons and excitons in garden-variety systems
journal, April 2015

Emerging Photoluminescence in Monolayer MoS₂
journal, April 2010

Strong interlayer coupling in van der Waals heterostructures built from single-layer chalcogenides
journal, April 2014

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

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

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

Topologically protected excitons in porphyrin thin films
journal, September 2014

Optimized norm-conserving Vanderbilt pseudopotentials
journal, August 2013

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

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

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

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

Polariton $Z$ Topological Insulator
journal, March 2015

Pseudopotentials periodic table: From H to Pu
journal, December 2014

Nonanalyticity, Valley Quantum Phases, and Lightlike Exciton Dispersion in Monolayer Transition Metal Dichalcogenides: Theory and First-Principles Calculations
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

Thickness and strain effects on electronic structures of transition metal dichalcogenides: 2H- $M X_{2}$ semiconductors ( $M$ $=$ Mo, W; $X$ $=$ S, Se, Te)
journal, January 2012

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

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 Polaritons
journal, July 2015

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

Cloning of Dirac fermions in graphene superlattices
journal, May 2013

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

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

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

Spin-dependent coherent transport of two-dimensional excitons
journal, April 2016

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

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

Self-interaction correction to density-functional approximations for many-electron systems
journal, May 1981

Optimization algorithm for the generation of ONCV pseudopotentials
journal, November 2015

Computational 2D Materials Database: Electronic Structure of Transition-Metal Dichalcogenides and Oxides
journal, June 2015

Valley Zeeman effect in elementary optical excitations of monolayer WSe2
journal, January 2015

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

Magnetic control of valley pseudospin in monolayer WSe2
journal, January 2015

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

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

Moire bands in twisted double-layer graphene
text, January 2010

Cloning of Dirac fermions in graphene superlattices
text, January 2012

Exciton fine structure and spin decoherence in monolayers of transition metal dichalcogenides
text, January 2014

Probing Excitonic Dark States in Single-layer Tungsten Disulfide
text, January 2014

High-temperature superfluidity with indirect excitons in van der Waals heterostructures
text, January 2014

Topologically protected excitons in porphyrin thin films
text, January 2014

Topological Polaritons
text, January 2014

Valley-selective optical Stark effect in monolayer WS2
text, January 2014

Ultrafast Generation of Pseudo-magnetic Field for Valley Excitons in WSe2 Monolayers
text, January 2014

Valley Zeeman Effect in Elementary Optical Excitations of a Monolayer WSe2
text, January 2014

Anomalous light cones and valley optical selection rules of interlayer excitons in twisted heterobilayers
text, January 2015

Theory of Two-Dimensional Spatially Indirect Equilibrium Exciton Condensates
text, January 2015

Computational 2D Materials Database: Electronic Structure of Transition-Metal Dichalcogenides and Oxides
text, January 2015

Chiral plasmons without magnetic field
text, January 2015

Recent Progress on Exciton Polaritons in Layered Transition‐Metal Dichalcogenides
journal, September 2019

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

Negative circular polarization emissions from WSe2/MoSe2 commensurate heterobilayers
journal, April 2018

Observation of bosonic condensation in a hybrid monolayer MoSe2-GaAs microcavity
journal, August 2018

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

Soliton superlattices in twisted hexagonal boron nitride
journal, September 2019

Interlayer valley excitons in heterobilayers of transition metal dichalcogenides
journal, August 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

Resonantly hybridized excitons in moiré superlattices in van der Waals heterostructures
journal, March 2019

Moiré-templated strain patterning in transition-metal dichalcogenides and application in twisted bilayer MoS ₂
journal, January 2018