Excitonic condensation in systems of strongly correlated electrons

TL;DR

This review explores recent theoretical advances in excitonic condensation within strongly correlated electron systems, highlighting connections to other strong-coupling phenomena and potential implications for bulk solid phases.

Contribution

It provides a comprehensive overview of exciton condensation in Hubbard-type models and links findings from cold atom physics to solid-state systems.

Findings

Connections between exciton condensation and strong-coupling limits

Unified framework for different physical systems

Insights into thermodynamic phases of correlated electrons

Abstract

The idea of exciton condensation in solids was introduced in 1960's with the analogy to superconductivity in mind. While exciton supercurrents have been realized only in artificial quantum-well structures so far, the application of the concept of excitonic condensation to bulk solids leads to a rich spectrum of thermodynamic phases with diverse physical properties. In this review we discuss recent developments in the theory of exciton condensation in systems described by Hubbard-type models. In particular, we focus on the connections to their various strong-coupling limits that have been studied in other contexts, e.g., cold atoms physics. One of our goals is to provide a 'dictionary' which would allow the reader to efficiently combine results obtained in these different fields.