{ "id": "2106.15973", "version": "v1", "published": "2021-06-30T10:40:17.000Z", "updated": "2021-06-30T10:40:17.000Z", "title": "Microscopic Theory of Exciton-Exciton Annihilation in Two-Dimensional Semiconductors", "authors": [ "Alexander Steinhoff", "Matthias Florian", "Frank Jahnke" ], "categories": [ "cond-mat.mes-hall" ], "abstract": "Auger-like exciton-exciton annihilation (EEA) is considered the key fundamental limitation to quantum yield in devices based on excitons in two-dimensional (2d) materials. Since it is challenging to experimentally disentangle EEA from competing processes, guidance of a quantitative theory is highly desirable. The very nature of EEA requires a material-realistic description that is not available to date. We present a many-body theory of EEA based on first-principle band structures and Coulomb interaction matrix elements that goes beyond an effective bosonic picture. Applying our theory to monolayer MoS$_2$ encapsulated in hexagonal BN, we obtain an EEA coefficient in the order of $10^{-3}$ cm$^{2}$s$^{-1}$ at room temperature, suggesting that exciton annihilation is often dominated by other processes, such as defect-assisted scattering. Our studies open a perspective to quantify the efficiency of intrinsic EEA processes in various 2d materials in the focus of modern materials research.", "revisions": [ { "version": "v1", "updated": "2021-06-30T10:40:17.000Z" } ], "analyses": { "keywords": [ "microscopic theory", "two-dimensional semiconductors", "coulomb interaction matrix elements", "intrinsic eea processes", "first-principle band structures" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }