Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Enhanced polariton interaction in the presence of disorder

Matthew Prest, Cassandra Imperato, Oleg L. Berman, David W. Snoke, Klaus Ziegler

TL;DR

This work addresses how disorder impacting excitons in a 2D quantum-well microcavity modifies polariton interactions. By computing exciton and polariton self-energies via a coherent potential approximation and incorporating a Lindhard-type screening, the authors show that disorder enhances the effective polariton–polariton interaction. The study delivers a self-consistent framework for disorder-affected LP dispersion, quantifies the enhancement of g' relative to the mean-field value g, and links the results to experimentally accessible disorder strengths. The findings indicate a nontrivial role of exciton disorder in polariton nonlinearities, with implications for designing polaritonic devices and interpreting strong-coupling phenomena in disordered microcavities.

Abstract

We consider the interaction between exciton-polaritons in a semiconductor quantum well, embedded in a microcavity, in the presence of disorder. The disorder acts on the excitons in the semiconductor quantum well. We have calculated the exciton and polariton self-energies and the exciton and polariton energy dispersion relations in the presence of disorder. Our results demonstrate that disorder increases the polariton-polariton interaction.

Enhanced polariton interaction in the presence of disorder

TL;DR

This work addresses how disorder impacting excitons in a 2D quantum-well microcavity modifies polariton interactions. By computing exciton and polariton self-energies via a coherent potential approximation and incorporating a Lindhard-type screening, the authors show that disorder enhances the effective polariton–polariton interaction. The study delivers a self-consistent framework for disorder-affected LP dispersion, quantifies the enhancement of g' relative to the mean-field value g, and links the results to experimentally accessible disorder strengths. The findings indicate a nontrivial role of exciton disorder in polariton nonlinearities, with implications for designing polaritonic devices and interpreting strong-coupling phenomena in disordered microcavities.

Abstract

We consider the interaction between exciton-polaritons in a semiconductor quantum well, embedded in a microcavity, in the presence of disorder. The disorder acts on the excitons in the semiconductor quantum well. We have calculated the exciton and polariton self-energies and the exciton and polariton energy dispersion relations in the presence of disorder. Our results demonstrate that disorder increases the polariton-polariton interaction.

Paper Structure

This paper contains 9 sections, 48 equations, 5 figures.

Table of Contents

  1. Introduction
  2. Disordered Excitons
  3. Lower Polariton Dispersion
  4. Polariton-Polariton Interaction Strength
  5. Experimental Values
  6. Results
  7. Conclusion
  8. Acknowledgments
  9. Appendix

Figures (5)

  • Figure 1: A surface plot of the integrand weight $K(k,q)$ for $m'=1/3$ over a domain of $k$ and $q$ up to $4 \times 10^5 cm^{-1}$, illustrating convergence to $0$ for large values of $q$.
  • Figure 2: The mean field polariton-polariton interaction strength $g$.
  • Figure 3: The polariton-polariton interaction strength with correlation effects $g^{\prime}$ for a range of disorder factors $\eta \in [0.0, 2.0]$ over momentum space with a logarithmic $k$-scale with $m'=1/3$.
  • Figure 4: The real (a) and imaginary (b) parts of the exciton energy dispersion relation in the presence of disorder characterized by the range $\eta \in [0.0, 2.0]$ over momentum space with $m'=1/3$.
  • Figure 5: The real (a) and imaginary (b) parts of the lower polariton energy dispersion relation in the presence of disorder characterized by the values $\eta \in [0.0, 0.9, 1.0, 1.1]$ over momentum space with $m'=1/3$.