# Few-body systems in condensed matter physics

## TL;DR

This review discusses the methods and findings related to few-body electron and hole systems in condensed matter physics, emphasizing how dimensionality reduction influences excitonic complex binding energies.

## Contribution

It provides a comprehensive analysis of computational approaches for excitonic complexes across different dimensions and materials, highlighting recent advances and remaining challenges.

## Key findings

- Dimensionality reduction increases exciton binding energies.
- Various computational methods are effective for different excitonic complexes.
- Challenges remain in accurately modeling low-dimensional systems.

## Abstract

This review focuses on the studies and computations of few-body systems of electrons and holes in condensed matter physics. We analyze and illustrate the application of a variety of methods for description of two- three- and four-body excitonic complexes such as an exciton, trion and biexciton in three-, two- and one-dimensional configuration spaces in various types of materials. We discuss and analyze the contributions made over the years to understanding how the reduction of dimensionality affects the binding energy of excitons, trions and biexcitons in bulk and low dimensional semiconductors and address the challenges that still remain.