# Linear response theory for electron-hole pair kinetics: exciton formation

Source: [Linear response theory for electron-hole pair kinetics: exciton formation](<https://www.sota2.com/research/paper/68fa33501e209131ce88f530>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:00:41.843Z

Authors: Shota Ono

Published: 2016-04-11T09:50:09.000Z

## Abstract

A linear response theory for electron-hole pair density is developed, which constitutes a new theoretical method, and a definition of exciton density in a first-principles context is derived by considering both the electron-hole attractive interaction and the screening effect. This allows the exciton time evolution to be examined. This formulation is applied to a jellium model in order to prove the existence of a transient exciton, and to observe crossover from a transient to a stable exciton in response to decreased electron density. The exciton formation mechanism is also revealed.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1604.02861>)

[PDF](<https://arxiv.org/pdf/1604.02861.pdf>)