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We analyze possible nonlinear exciton-exciton correlation effects in the optical response of semiconductors by using a time-dependent density-functional theory (TDDFT) approach. For this purpose, we derive the nonlinear (third-order) TDDFT…

Materials Science · Physics 2015-06-16 Volodymyr Turkowski , Michael N. Leuenberger

Excitons, trions, biexcitons, and exciton-trion complexes in two-dimensional transition metal dichalcogenide sheets of MoS$_2$, MoSe$_2$, MoTe$_2$, WS$_2$ and WSe$_2$ are studied by means of density functional theory and path integral Monte…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 Ilkka Kylänpää , Hannu-Pekka Komsa

Specific matrix elements of exchange and correlation kernels in time-dependent density-functional theory are computed. The knowledge of these matrix elements not only constraints approximate time-dependent functionals, but also allows to…

Materials Science · Physics 2009-10-31 X. Gonze , M. Scheffler

Photoluminescence spectra, shows that monolayer Transition-metal dichalcogenides (MLTMDCs), possess charged exciton binding energies, conspicuously similar to the energy of optical phonons. This enigmatic coincidence has offered…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Sabrine Ayari , Sihem Jaziri , Robson Ferreira , Gerald Bastard

We report on the exciton and trion density dynamics in a single layer of MoSe$_2$, resonantly excited and probed using three-pulse four-wave mixing (FWM), at temperatures from 300K to 77K . A multi-exponential third-order response function…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 L. Scarpelli , F. Masia , E. M. Alexeev , F. Withers , A. I. Tartakovskii , K. S. Novoselov , W. Langbein

We examine the excitonic properties of layered configurations of low dimensional transition metal dichalcogenides (LTMDCs) using the fractional dimensional space approach. The binding energies of the exciton, trion and biexciton in LTMDCs…

Materials Science · Physics 2015-06-22 A. Thilagam

Unconventional emissions from exciton and trion in monolayer WS2 are studied by photoexcitation. Excited by 532nm laser beam, the carrier species in the monolayer WS2 are affected by the excess electrons escaping from photoionization of…

Mesoscale and Nanoscale Physics · Physics 2016-08-08 Ke Wei , Yu Liu , Hang Yang , Xiangai Cheng , Tian Jiang

We map the three-body problem in two dimensions onto one particle in a three dimensional potential treatable by a purposely-developed boundary-matching-matrix method. We evaluate binding energies of trions $X^{\pm}$, excitons bound by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Bogdan Ganchev , Neil Drummond , Igor Aleiner , Vladimir Fal'ko

The ultrathin transition metal dichalcogenides (TMDs) have emerged as promising materials for various applications using two dimensional (2D) semiconductors. They have attracted increasing attention due to their unique optical properties…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 Aïda Hichri , Imen Ben Amara , Sabrine Ayari , Sihem Jaziri

Linear-response time-dependent density-functional theory (TDDFT) can describe excitonic features in the optical spectra of insulators and semiconductors, using exchange-correlation (xc) kernels behaving as $-1/k^{2}$ to leading order. We…

Materials Science · Physics 2021-08-18 Jiuyu Sun , Cheng-Wei Lee , Alina Kononov , André Schleife , Carsten A. Ullrich

Time-dependent density functional theory (TDDFT) has been applied to the calculation of absorption spectra for two-dimensional atomic layer materials. We reveal that the character of the first bright exciton state of bi-layer hexagonal…

Materials Science · Physics 2020-01-08 Yasumitsu Suzuki , Kazuyuki Watanabe

We present a microscopic theory of neutral excitons and charged excitons (trions) in monolayers of transition metal dichalcogenides, including molybdenum disulfide. Our theory is based on an effective mass model of excitons and trions,…

Materials Science · Physics 2015-08-12 Timothy C. Berkelbach , Mark S. Hybertsen , David R. Reichman

We theoretically investigate the corrections of exciton binding energy in monolayer transition metal dichalcogenides (TMDs) due to the exciton-optical phonon coupling in the Fr$\ddot{o}$hlich interaction model by using the linear operator…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Zi-Wu Wang , Yao Xiao , Wei-Ping Li , Run-Ze Li , Zhi-Qing Li

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.…

Multi-configuration range-separated density-functional theory is extended to the time-dependent regime. An exact variational formulation is derived. The approximation, which consists in combining a long-range…

Chemical Physics · Physics 2013-02-27 Emmanuel Fromager , Stefan Knecht , Hans Jørgen Aa. Jensen

Monolayer photonic materials offer a tremendous potential for on-chip optoelectronic devices. Their realization requires knowledge of optical coherence properties of excitons and trions that have so far been limited to nonlinear optical…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Gabriella D. Shepard , Jenny V. Ardelean , Daniel A. Rhodes , X. -Y. Zhu , James C. Hone , Stefan Strauf

We investigate the properties of trions in transition metal dichalcogenides (TMDCs) monolayers using the Gaussian Expansion Method (GEM) adapted to two-dimensional systems. Excitons and trions in monolayer TMDCs with the chemical…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Luiz G. M. Tenório , André J. Chaves , Emiko Hiyama , Tobias Frederico

Excitons are electron-hole pairs appearing below the band gap in insulators and semiconductors. They are vital to photovoltaics, but are hard to obtain with time-dependent density-functional theory (TDDFT), since most standard…

Materials Science · Physics 2013-05-22 Zeng-hui Yang , Carsten A. Ullrich

We formulate a time-dependent density-matrix functional theory (TDDMFT) approach for higher-order correlation effects like biexcitons in optical processes in solids based on the reduced two-particle density-matrix formalism within the…

Materials Science · Physics 2015-05-19 Volodymyr Turkowski , Carsten A. Ullrich , Talat S. Rahman , Michael N. Leuenberger

Strong Coulomb interactions in single-layer transition metal dichalcogenides (TMDs) result in the emergence of strongly bound excitons, trions and biexcitons. These excitonic complexes possess the valley degree of freedom, which can be…

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