Related Experiment Video
Updated: Feb 4, 2026

Inkjet Printing All Inorganic Halide Perovskite Inks for Photovoltaic Applications
Published on: January 22, 2019
Hyperbolic Dispersion Arising from Anisotropic Excitons in Two-Dimensional Perovskites
Peijun Guo1, Wei Huang2,3, Constantinos C Stoumpos2
1Center for Nanoscale Materials, Argonne National Laboratory, 9700 South Cass Avenue, Lemont, Illinois 60439, USA.
Two-dimensional hybrid perovskites (2DHPs) exhibit negative permittivity due to excitons, enabling strong light-matter interactions. These materials naturally display hyperbolic dispersion in the visible spectrum, a property previously limited to artificial metamaterials.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Optics
Background:
- Negative real part of relative permittivity (ϵ^{'} < 0) is crucial for strong light-matter interactions, typically achieved via free electrons or optical phonons.
- Exciton-induced negative permittivity in materials remains less explored.
- Two-dimensional hybrid perovskites (2DHPs) offer a unique platform with alternating inorganic and organic sublattices.
Purpose of the Study:
- To investigate the fundamental optical properties of low-member 2DHPs (N=1, N=2).
- To explore the potential of excitons in 2DHPs to achieve negative permittivity.
- To identify novel dispersion phenomena in 2DHPs.
Main Methods:
- Development of a dielectric-coating based technique for optical property measurement.
- Characterization of optical properties of 2DHPs with N=1 and N=2.
- Analysis of excitonic contributions to permittivity and dispersion.
Main Results:
- Low-member 2DHPs exhibit negative permittivity (ϵ^{'} < 0) due to high exciton binding energy and oscillator strength.
- Hyperbolic dispersion, where permittivity changes sign with direction, is observed in the visible range.
- This natural hyperbolic dispersion arises from anisotropic excitonic behavior in 2DHPs.
Conclusions:
- 2DHPs can achieve negative permittivity and hyperbolic dispersion through excitonic effects.
- These findings open new avenues for light-matter interaction studies and photonic device applications.
- Similar excitonic phenomena may be present in other van der Waals solids.
Related Concept Videos
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving
Hyperbolic Functions
Inverse Hyperbolic Functions and Their Derivatives
Distribution and Dispersion
Dimensional Analysis
Conversion Factors and Dimensional Analysis
The unit...
Dimensional Analysis
In fluid mechanics, dimensional...

