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Title: Hyperbolic Dispersion Arising from Anisotropic Excitons in Two-Dimensional Perovskites

Abstract

Excitations of free electrons and optical phonons are known to permit access to the negative real part of relative permittivities (ϵ' < 0) that yield strong light-matter interactions. However, negative ϵ' arising from excitons has been much less explored. Via development of a dielectric-coating based technique described herein, we report fundamental optical properties of two-dimensional hybrid perovskites (2DHPs), composed of alternating layers of inorganic and organic sublattices. Low members of 2DHPs (N = 1 and N = 2) exhibit negative ϵ' stemming from the large exciton binding energy and sizable oscillator strength. Furthermore, hyperbolic dispersion (i.e., ϵ' changes sign with directions) occurs in the visible range, which has been previously achieved only with artificial metamaterials. Such naturally occurring, exotic dispersion stems from the extremely anisotropic excitonic behaviors of 2DHPs, and can intrinsically support a large photonic density of states. Here, we suggest that several other van der Waals solids may exhibit similar behaviors arising from excitonic response.

Authors:
 [1];  [2];  [2];  [2];  [3];  [2];  [1];  [1];  [1];  [1];  [3];  [2];  [2];  [4];  [2];  [2];  [5]
  1. Argonne National Lab. (ANL), Lemont, IL (United States)
  2. Northwestern Univ., Evanston, IL (United States)
  3. Northern Illinois Univ., DeKalb, IL (United States)
  4. Northwestern Univ., Evanston, IL (United States); Flexterra Corp., Skokie, IL (United States)
  5. Argonne National Lab. (ANL), Lemont, IL (United States); Northwestern Univ., Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Air Force Research Laboratory (AFRL), Air Force Office of Scientific Research (AFOSR); Northwestern University, Materials Research Science and Engineering Center (NU-MRSEC); Flexterra, Inc.
OSTI Identifier:
1477741
Alternate Identifier(s):
OSTI ID: 1471446
Grant/Contract Number:  
AC02-06CH11357; SC0012541
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 12; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Guo, Peijun, Huang, Wei, Stoumpos, Constantinos C., Mao, Lingling, Gong, Jue, Zeng, Li, Diroll, Benjamin T., Xia, Yi, Ma, Xuedan, Gosztola, David J., Xu, Tao, Ketterson, John B., Bedzyk, Michael J., Facchetti, Antonio, Marks, Tobin J., Kanatzidis, Mercouri G., and Schaller, Richard D. Hyperbolic Dispersion Arising from Anisotropic Excitons in Two-Dimensional Perovskites. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.127401.
Guo, Peijun, Huang, Wei, Stoumpos, Constantinos C., Mao, Lingling, Gong, Jue, Zeng, Li, Diroll, Benjamin T., Xia, Yi, Ma, Xuedan, Gosztola, David J., Xu, Tao, Ketterson, John B., Bedzyk, Michael J., Facchetti, Antonio, Marks, Tobin J., Kanatzidis, Mercouri G., & Schaller, Richard D. Hyperbolic Dispersion Arising from Anisotropic Excitons in Two-Dimensional Perovskites. United States. https://doi.org/10.1103/PhysRevLett.121.127401
Guo, Peijun, Huang, Wei, Stoumpos, Constantinos C., Mao, Lingling, Gong, Jue, Zeng, Li, Diroll, Benjamin T., Xia, Yi, Ma, Xuedan, Gosztola, David J., Xu, Tao, Ketterson, John B., Bedzyk, Michael J., Facchetti, Antonio, Marks, Tobin J., Kanatzidis, Mercouri G., and Schaller, Richard D. Wed . "Hyperbolic Dispersion Arising from Anisotropic Excitons in Two-Dimensional Perovskites". United States. https://doi.org/10.1103/PhysRevLett.121.127401. https://www.osti.gov/servlets/purl/1477741.
@article{osti_1477741,
title = {Hyperbolic Dispersion Arising from Anisotropic Excitons in Two-Dimensional Perovskites},
author = {Guo, Peijun and Huang, Wei and Stoumpos, Constantinos C. and Mao, Lingling and Gong, Jue and Zeng, Li and Diroll, Benjamin T. and Xia, Yi and Ma, Xuedan and Gosztola, David J. and Xu, Tao and Ketterson, John B. and Bedzyk, Michael J. and Facchetti, Antonio and Marks, Tobin J. and Kanatzidis, Mercouri G. and Schaller, Richard D.},
abstractNote = {Excitations of free electrons and optical phonons are known to permit access to the negative real part of relative permittivities (ϵ' < 0) that yield strong light-matter interactions. However, negative ϵ' arising from excitons has been much less explored. Via development of a dielectric-coating based technique described herein, we report fundamental optical properties of two-dimensional hybrid perovskites (2DHPs), composed of alternating layers of inorganic and organic sublattices. Low members of 2DHPs (N = 1 and N = 2) exhibit negative ϵ' stemming from the large exciton binding energy and sizable oscillator strength. Furthermore, hyperbolic dispersion (i.e., ϵ' changes sign with directions) occurs in the visible range, which has been previously achieved only with artificial metamaterials. Such naturally occurring, exotic dispersion stems from the extremely anisotropic excitonic behaviors of 2DHPs, and can intrinsically support a large photonic density of states. Here, we suggest that several other van der Waals solids may exhibit similar behaviors arising from excitonic response.},
doi = {10.1103/PhysRevLett.121.127401},
journal = {Physical Review Letters},
number = 12,
volume = 121,
place = {United States},
year = {Wed Sep 19 00:00:00 EDT 2018},
month = {Wed Sep 19 00:00:00 EDT 2018}
}

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Cited by: 46 works
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Figures / Tables:

FIG. 1 FIG. 1: (a) Schematic of the crystal structures of $N$ = 1 (left, 3D view) and $N$ = 2 (right, 2D view). (b) Optical micrographs of an $N$ = 3 single crystal flake before and after coating with MoOx, viewed along $\vec{c}$. The reflectivity spectrum was acquired from the regionmore » indicated by the black square. The white scale bar is 40 μm. (c) Calculated dependence of reflectivity ($R$; color-coded) on the values of n and k of an infinitely-thick, optically absorbing medium. (d) Calculated change of reflectivity ($ΔR$; color-coded) as a function of n and k of an optically absorbing medium, due to an 11-nm thick coating of MoOx. Both (c) and (d) are calculated for normal incidence, with a representative contour of $R$ = 0.2 plotted.« less

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Works referenced in this record:

Centimeter-Sized Inorganic Lead Halide Perovskite CsPbBr 3 Crystals Grown by an Improved Solution Method
journal, October 2017

  • Zhang, Hongjian; Liu, Xin; Dong, Jiangpeng
  • Crystal Growth & Design, Vol. 17, Issue 12
  • DOI: 10.1021/acs.cgd.7b01086

Excitons in nanoscale systems
journal, September 2006

  • Scholes, Gregory D.; Rumbles, Garry
  • Nature Materials, Vol. 5, Issue 9
  • DOI: 10.1038/nmat1710

Influence of the image charge effect on excitonic energy structure in organic-inorganic multiple quantum well crystals
journal, March 2013


Van der Waals Materials for Atomically-Thin Photovoltaics: Promise and Outlook
journal, November 2017


Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase pattern
journal, April 2007

  • Alù, Andrea; Silveirinha, Mário G.; Salandrino, Alessandro
  • Physical Review B, Vol. 75, Issue 15
  • DOI: 10.1103/PhysRevB.75.155410

Spontaneous Emission inside a Hyperbolic Metamaterial Waveguide
journal, October 2017


Polaritons in layered two-dimensional materials
journal, November 2016

  • Low, Tony; Chaves, Andrey; Caldwell, Joshua D.
  • Nature Materials, Vol. 16, Issue 2
  • DOI: 10.1038/nmat4792

Probing optical anisotropy of nanometer-thin van der waals microcrystals by near-field imaging
journal, November 2017


Electronic and Excitonic Structures of Inorganic–Organic Perovskite-Type Quantum-Well Crystal (C 4 H 9 NH 3 ) 2 PbBr 4
journal, August 2005

  • Tanaka, Kenichiro; Takahashi, Takayuki; Kondo, Takashi
  • Japanese Journal of Applied Physics, Vol. 44, Issue 8
  • DOI: 10.1143/JJAP.44.5923

Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride
journal, October 2014

  • Caldwell, Joshua D.; Kretinin, Andrey V.; Chen, Yiguo
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6221

Influences of evaporation temperature on electronic structures and electrical properties of molybdenum oxide in organic light emitting devices
journal, March 2010

  • Lin, Chang-Ting; Yeh, Cheng-Hung; Chen, Mei-Hsin
  • Journal of Applied Physics, Vol. 107, Issue 5
  • DOI: 10.1063/1.3309783

Single-crystal-to-single-crystal intercalation of a low-bandgap superatomic crystal
journal, August 2017

  • O'Brien, Evan S.; Trinh, M. Tuan; Kann, Rose L.
  • Nature Chemistry, Vol. 9, Issue 12
  • DOI: 10.1038/nchem.2844

Indefinite by Nature: From Ultraviolet to Terahertz
journal, February 2014

  • Sun, Jingbo; Litchinitser, Natalia M.; Zhou, Ji
  • ACS Photonics, Vol. 1, Issue 4
  • DOI: 10.1021/ph4000983

High-quality bulk hybrid perovskite single crystals within minutes by inverse temperature crystallization
journal, July 2015

  • Saidaminov, Makhsud I.; Abdelhady, Ahmed L.; Murali, Banavoth
  • Nature Communications, Vol. 6, Article No. 7586
  • DOI: 10.1038/ncomms8586

Nanometre optical coatings based on strong interference effects in highly absorbing media
journal, October 2012

  • Kats, Mikhail A.; Blanchard, Romain; Genevet, Patrice
  • Nature Materials, Vol. 12, Issue 1, p. 20-24
  • DOI: 10.1038/nmat3443

Ruddlesden–Popper Hybrid Lead Iodide Perovskite 2D Homologous Semiconductors
journal, April 2016

  • Stoumpos, Constantinos C.; Cao, Duyen H.; Clark, Daniel J.
  • Chemistry of Materials, Vol. 28, Issue 8, p. 2852-2867
  • DOI: 10.1021/acs.chemmater.6b00847

Observation of long-range exciton diffusion in highly ordered organic semiconductors
journal, October 2010

  • Najafov, H.; Lee, B.; Zhou, Q.
  • Nature Materials, Vol. 9, Issue 11
  • DOI: 10.1038/nmat2872

Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics
journal, January 2016

  • Caldwell, Joshua D.; Vurgaftman, Igor; Tischler, Joseph G.
  • Nature Nanotechnology, Vol. 11, Issue 1
  • DOI: 10.1038/nnano.2015.305

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


Experimental and theoretical optical properties of methylammonium lead halide perovskites
journal, January 2016

  • Leguy, Aurélien M. A.; Azarhoosh, Pooya; Alonso, M. Isabel
  • Nanoscale, Vol. 8, Issue 12
  • DOI: 10.1039/C5NR05435D

Organic-Inorganic Hybrid Materials as Semiconducting Channels in Thin-Film Field-Effect Transistors
journal, October 1999


Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction
journal, September 2011


Epitaxial superlattices with titanium nitride as a plasmonic component for optical hyperbolic metamaterials
journal, May 2014

  • Naik, G. V.; Saha, B.; Liu, J.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 21
  • DOI: 10.1073/pnas.1319446111

Plasmonics: Fundamentals and Applications
book, January 2007


Electron–Phonon Scattering in Atomically Thin 2D Perovskites
journal, October 2016


Topological Transitions in Metamaterials
journal, April 2012


Charge-Carrier Dynamics in 2D Hybrid Metal–Halide Perovskites
journal, October 2016


Hyperbolic metamaterials
journal, December 2013

  • Poddubny, Alexander; Iorsh, Ivan; Belov, Pavel
  • Nature Photonics, Vol. 7, Issue 12, p. 948-957
  • DOI: 10.1038/nphoton.2013.243

Huge exchange energy and fine structure of excitons in an organic-inorganic quantum well material
journal, June 2006


Plasmonics for improved photovoltaic devices
journal, February 2010

  • Atwater, Harry A.; Polman, Albert
  • Nature Materials, Vol. 9, Issue 3, p. 205-213
  • DOI: 10.1038/nmat2629

Extreme sensitivity biosensing platform based on hyperbolic metamaterials
journal, March 2016

  • Sreekanth, Kandammathe Valiyaveedu; Alapan, Yunus; ElKabbash, Mohamed
  • Nature Materials, Vol. 15, Issue 6
  • DOI: 10.1038/nmat4609

Hybrid Dion–Jacobson 2D Lead Iodide Perovskites
journal, February 2018

  • Mao, Lingling; Ke, Weijun; Pedesseau, Laurent
  • Journal of the American Chemical Society, Vol. 140, Issue 10
  • DOI: 10.1021/jacs.8b00542

Differences between amorphous indium oxide thin films
journal, October 2013

  • Buchholz, D. Bruce; Zeng, Li; Bedzyk, Michael J.
  • Progress in Natural Science: Materials International, Vol. 23, Issue 5
  • DOI: 10.1016/j.pnsc.2013.08.004

Formation of Long-Lived Color Centers for Broadband Visible Light Emission in Low-Dimensional Layered Perovskites
journal, December 2017

  • Booker, Edward P.; Thomas, Tudor H.; Quarti, Claudio
  • Journal of the American Chemical Society, Vol. 139, Issue 51
  • DOI: 10.1021/jacs.7b10223

Phosphorene analogues: Isoelectronic two-dimensional group-IV monochalcogenides with orthorhombic structure
journal, August 2015


Hyperbolic metamaterials: fundamentals and applications
journal, June 2014


CH 3 NH 3 PbCl 3 Single Crystals: Inverse Temperature Crystallization and Visible-Blind UV-Photodetector
journal, September 2015

  • Maculan, Giacomo; Sheikh, Arif D.; Abdelhady, Ahmed L.
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 19
  • DOI: 10.1021/acs.jpclett.5b01666

Dielectric confinement effect on excitons in PbI 4 -based layered semiconductors
journal, March 1992


Electrical Properties of Evaporated Molybdenum Oxide Films
journal, February 1970

  • Nadkarni, G. S.; Simmons, J. G.
  • Journal of Applied Physics, Vol. 41, Issue 2
  • DOI: 10.1063/1.1658710

Morphological Evolution of Multilayer Ni/NiO Thin Film Electrodes during Lithiation
journal, July 2016

  • Evmenenko, Guennadi; Fister, Timothy T.; Buchholz, D. Bruce
  • ACS Applied Materials & Interfaces, Vol. 8, Issue 31
  • DOI: 10.1021/acsami.6b05040

Large Excitonic Reflectivity of Monolayer MoSe 2 Encapsulated in Hexagonal Boron Nitride
journal, January 2018


Excitons in ultrathin organic-inorganic perovskite crystals
journal, July 2015


Colloidal nanoplatelets with two-dimensional electronic structure
journal, October 2011

  • Ithurria, S.; Tessier, M. D.; Mahler, B.
  • Nature Materials, Vol. 10, Issue 12
  • DOI: 10.1038/nmat3145

Reflectance study of the oscillator strength of excitons in semiconductor quantum wells
journal, September 1994


Photon recycling in lead iodide perovskite solar cells
journal, March 2016


Image charge effect on two-dimensional excitons in an inorganic-organic quantum-well crystal
journal, January 2005


Low-Dimensional-Networked Metal Halide Perovskites: The Next Big Thing
journal, March 2017


Electron–phonon coupling in hybrid lead halide perovskites
journal, May 2016

  • Wright, Adam D.; Verdi, Carla; Milot, Rebecca L.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11755

Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial
journal, June 2015


Optical properties due to electronic transitions in two-dimensional semiconductors ( C n H 2 n + 1 NH 3 ) 2 PbI 4
journal, December 1990


Role of Organic Counterion in Lead- and Tin-Based Two-Dimensional Semiconducting Iodide Perovskites and Application in Planar Solar Cells
journal, October 2016


Fundamentals of Semiconductors
book, January 2010


Polaritons in van der Waals materials
journal, October 2016


Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS 2 , Mo S e 2 , WS 2 , and WS e 2
journal, November 2014


Decreasing the electronic confinement in layered perovskites through intercalation
journal, January 2017

  • Smith, Matthew D.; Pedesseau, Laurent; Kepenekian, Mikaël
  • Chemical Science, Vol. 8, Issue 3
  • DOI: 10.1039/C6SC02848A

Monolayer behaviour in bulk ReS2 due to electronic and vibrational decoupling
journal, February 2014

  • Tongay, Sefaattin; Sahin, Hasan; Ko, Changhyun
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4252

Manipulating polarization of light with ultrathin epsilon-near-zero metamaterials
journal, January 2013

  • Ginzburg, P.; Fortuño, F. J. Rodríguez; Wurtz, G. A.
  • Optics Express, Vol. 21, Issue 12
  • DOI: 10.1364/OE.21.014907

Topological Transitions in Metamaterials
conference, January 2012

  • Krishnamoorthy, Harish N.; Jacob, Zubin; Narimanov, Evgenii
  • Quantum Electronics and Laser Science Conference, Conference on Lasers and Electro-Optics 2012
  • DOI: 10.1364/qels.2012.qm2e.6

Formation of Long-Lived Color Centers for Broadband Visible Light Emission in Low-Dimensional Layered Perovskites.
text, January 2017

  • Booker, Edward; Thomas, Tudor; Quarti, Claudio
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.18749

Fundamentals of Semiconductors: Physics and Materials Properties
book, January 2005

  • Yu, Peter Y.; Cardona, Manuel
  • Graduate Texts in Physics
  • DOI: 10.1007/b137661

Hyperbolic metamaterials: fundamentals and applications
text, January 2014


Sub-diffractional, volume-confined polaritons in a natural hyperbolic material: hexagonal boron nitride
text, January 2014


Epsilon-Near-Zero (ENZ) Metamaterials and Electromagnetic Sources: Tailoring the Radiation Phase Pattern
text, January 2006


Works referencing / citing this record:

Layered‐Perovskite Nanowires with Long‐Range Orientational Order for Ultrasensitive Photodetectors
journal, January 2020


Giant Nonlinear Optical Response in 2D Perovskite Heterostructures
journal, May 2019


Refractive Index Dispersion of Organic-Inorganic Hybrid Halide Perovskite CH 3 NH 3 PbX 3 (X═Cl, Br, I) Single Crystals
journal, March 2019

  • He, Chongjun; Zha, Guoan; Deng, Chenguang
  • Crystal Research and Technology, Vol. 54, Issue 5
  • DOI: 10.1002/crat.201900011

In‐Plane Isotropic/Anisotropic 2D van der Waals Heterostructures for Future Devices
journal, February 2019


Layer-edge device of two-dimensional hybrid perovskites
journal, December 2018


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.