# Coulomb Interaction in Atomically Thin Semiconductors and Density-Independent Exciton-Scattering Processes

Source: [Coulomb Interaction in Atomically Thin Semiconductors and Density-Independent Exciton-Scattering Processes](<https://www.sota2.com/research/paper/6993f5f39ebc499c97409994>)

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

Data updated: 2026-02-18T05:00:04.391Z

Authors: Henry Mittenzwey, Andreas Knorr, Thorsten Deilmann

Published: 2026-02-14T13:19:02.000Z

## Abstract

In quantum-kinetic approaches to the dynamics of Coulomb-bound many-body correlations such as excitons, trions, biexcitons or higher-order correlations, a detailed knowledge of the many-body Coulomb Hamiltonian serving as a starting point is important. In this manuscript, the second-quantized description of the Coulomb interaction between Bloch electrons in a Heisenberg-equation-of-motion approach in atomically thin semiconductors is derived and reviewed. Emphasis is put on a discussion of Umklapp processes and the dielectric screening including all local-field effects. A link between \\textit{ab initio} methods of screening and few-band models in effective-mass approximations for the quantum kinetics is established and all important Coulomb scattering processes contributing to the exciton energy landscape and density-independent exciton scattering are discussed.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2602.13763>)

[PDF](<https://arxiv.org/pdf/2602.13763.pdf>)