On the microscopic theory of the exciton ring fragmentation

TL;DR

This paper develops a microscopic theory explaining the formation and fragmentation of exciton rings at zero temperature, deriving an exact analytical solution from the Gross-Pitaevskii equation that matches experimental observations.

Contribution

It introduces a novel analytical approach to describe exciton ring fragmentation based on the Gross-Pitaevskii equation, advancing understanding of exciton condensate behavior.

Findings

Derived an exact analytical solution for exciton ring fragmentation.

Explained the dependence of exciton condensate density on polar angle.

Provided theoretical support for experimentally observed ring fragmentation.

Abstract

The description is presented for the dependence of the indirect exciton condensate density at the ring as a function of the polar angle at zero temperature with the involvement of the processes of formation and recombination of the excitons. In particular, starting from the quasi one-dimensional Gross-Pitaevskii equation with a spatially uniform generating term, we derive an exact analytical solution yielding the fragmentation of an exciton ring which is probably observed in the experiments.