# Correlation functions in electron-electron and electron-hole double quantum wells: Temperature, density and barrier-width dependence

## TL;DR

This paper applies the classical-map hyper-netted-chain scheme to study how temperature, density, and barrier width affect correlation functions in electron-electron and electron-hole double quantum wells, revealing significant effects and limitations at low densities.

## Contribution

It extends the CHNC method to analyze correlation functions in double quantum wells, including electron-hole systems, across various conditions relevant to experiments.

## Key findings

- Large enhancement in pair distribution functions at small separations for electron-hole wells.
- CHNC equations break down at low densities where bound states form.
- Dependence of correlation functions on temperature, density, and barrier width.

## Abstract

The classical-map hyper-netted-chain (CHNC) scheme, developed for treating fermion fluids at strong coupling and at finite temperatures, is applied to electron-electron and electron-hole double quantum wells. The pair distribution functions and the local field factors needed in linear response theory are determined for a range of temperatures, carrier densities, and barrier widths typical for experimental double quantum well systems in GaAs-GaAlAs. For electron-hole double quantum wells, a large enhancement in the pair distribution functions is found for small carrier separations. The CHNC equations for electron-hole systems no longer hold at low densities where bound-state formation occurs.