{ "id": "1705.02110", "version": "v1", "published": "2017-05-05T07:43:36.000Z", "updated": "2017-05-05T07:43:36.000Z", "title": "Charged excitons in monolayer WSe$_2$: experiment and theory", "authors": [ "E. Courtade", "M. Semina", "M. Manca", "M. M. Glazov", "C. Robert", "F. Cadiz", "G. Wang", "T. Taniguchi", "K. Watanabe", "M. Pierre", "W. Escoffier", "E. L. Ivchenko", "P. Renucci", "X. Marie", "T. Amand", "B. Urbaszek" ], "comment": "12 pages, 6 figures, 2 tables", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci", "cond-mat.other" ], "abstract": "Charged excitons, or X$^{\\pm}$-trions, in monolayer transition metal dichalcogenides have binding energies of several tens of meV. Together with the neutral exciton X$^0$ they dominate the emission spectrum at low and elevated temperatures. We use charge tunable devices based on WSe$_2$ monolayers encapsulated in hexagonal boron nitride, to investigate the difference in binding energy between X$^+$ and X$^-$ and the X$^-$ fine structure. We find in the charge neutral regime, the X$^0$ emission accompanied at lower energy by a strong peak close to the longitudinal optical (LO) phonon energy. This peak is absent in reflectivity measurements, where only the X$^0$ and an excited state of the X$^0$ are visible. In the $n$-doped regime, we find a closer correspondence between emission and reflectivity as the trion transition with a well-resolved fine-structure splitting of 6~meV for X$^-$ is observed. We present a symmetry analysis of the different X$^+$ and X$^-$ trion states and results of the binding energy calculations. We compare the trion binding energy for the $n$-and $p$-doped regimes with our model calculations for low carrier concentrations. We demonstrate that the splitting between the X$^+$ and X$^-$ trions as well as the fine structure of the X$^-$ state can be related to the short-range Coulomb exchange interaction between the charge carriers.", "revisions": [ { "version": "v1", "updated": "2017-05-05T07:43:36.000Z" } ], "analyses": { "keywords": [ "charged excitons", "monolayer wse", "binding energy", "short-range coulomb exchange interaction", "monolayer transition metal dichalcogenides" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }