Signatures of Exciton Orbits in Quantum Mechanical Recurrence Spectra of 
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Ertl, Jan; Marquardt, Michael; Schumacher, Moritz; Rommel, Patric; Main, Jörg; Bayer, М.

doi:10.1103/physrevlett.129.067401

Cited by 4 publications

(3 citation statements)

References 37 publications

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“…The unique exciton spectra of nearly 2D TMDs provide the possibility of coincidence of the incoming and outgoing resonances. The results presented here have been obtained assuming the experimental conditions of refs and ; however, it is important to remark that the exciton energies depend on the environment, , the number of MLs, induced strain, and external fields . The non-hydrogenic energy series is strongly dependent on the substrate and capping layer materials.…”

Section: Discussionmentioning

confidence: 90%

“…5,6 These states can be directly related to classical periodic orbits (which, however, deviate from hydrogen-like Keplerian orbits because of further effects such as the spin− orbit interaction). 7 In typical III−V and II−VI semiconductors, the small exciton binding energies (ranging from ≈5 to ≈50 meV) and consequently rather low oscillator strengths of excitonic transitions hinder the observation of high-lying excited states. Cu 2 O with a binding energy of the order of 100 meV 8 paved the way for the investigation and new applications of REs in solid-state physics.…”

mentioning

confidence: 99%

“…The Rydberg exciton (RE) in condensed matter is analogous to that of the Rydberg atoms. The existence of REs with the quantum number up to n = 25–28 has been observed in Cu 2 O. , These states can be directly related to classical periodic orbits (which, however, deviate from hydrogen-like Keplerian orbits because of further effects such as the spin–orbit interaction) . In typical III–V and II–VI semiconductors, the small exciton binding energies (ranging from ≈5 to ≈50 meV) and consequently rather low oscillator strengths of excitonic transitions hinder the observation of high-lying excited states.…”

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confidence: 99%

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Rydberg Excitons and Doubly Resonant Raman Scattering in Transition-Metal Dichalcogenides

Trallero-Giner,

Santiago-Pérez,

Vasilevskiy

et al. 2023

J. Phys. Chem. C

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Monolayer transition-metal dichalcogenides (TMDs) are emergent semiconductor materials with a wide range of potential applications. Rydberg excitons are similar to the Rydberg atomic states having a large principal quantum number n. The huge binding energies found in TMD semiconductors, up to 900 meV, facilitate studies of the Rydberg excitons, opening a new perspective of research by employing their long lifetimes, strong dipolar interactions, and the potential for coherent effects and quantum chaos. In the framework of a microscopic theory, we provide a complete description of the first-order resonant Raman scattering (RRS) valid for two-dimensional (2D) TMD semiconductors. Assuming as electronic intermediate states the high-n exciton states, we present explicit expressions for the RRS intensity, which are valid for incident laser energies close to the excitonic resonances. The intravalley Pekar−Froḧlich polar longitudinal optical mode and A 1 -homopolar mode deformation potential coupling mechanisms are considered. We report a large enhancement of the Raman efficiency due to the simultaneous incoming and outgoing resonances with bound exciton states, occurring for an appropriate choice of the excitation photon energy. We show that the 2D semiconductors guarantee the necessary conditions for the doubly RRS (DRRS) when intravalley transitions occur between two different Rydberg states separated by an optical phonon energy. The observation of the intravalley DRRS process can open new perspectives for deeper studies of the role of Rydberg excitons in solidstate physics.

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Section: Discussionmentioning

confidence: 90%

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confidence: 99%

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confidence: 99%

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Rydberg Excitons and Doubly Resonant Raman Scattering in Transition-Metal Dichalcogenides

Trallero-Giner,

Santiago-Pérez,

Vasilevskiy

et al. 2023

J. Phys. Chem. C

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The energy level spectrum of the yellow excitons in cuprous oxide

Heckötter,

Farenbruch,

Fröhlich

et al. 2025

Physics Reports

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Rydberg excitons in cuprous oxide: A two-particle system with classical chaos

Ertl,

Rentschler,

Main

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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When an electron in a semiconductor gets excited to the conduction band, the missing electron can be viewed as a positively charged particle, the hole. Due to the Coulomb interaction, electrons and holes can form a hydrogen-like bound state called the exciton. For cuprous oxide, a Rydberg series up to high principle quantum numbers has been observed by Kazimierczuk et al. [Nature 514, 343 (2014)] with the extension of excitons up to the μm-range. In this region, the correspondence principle should hold and quantum mechanics turn into classical dynamics. Due to the complex valence band structure of Cu2O, classical dynamics deviates from a purely hydrogen-like behavior. The uppermost valence band in cuprous oxide splits into various bands resulting in yellow and green exciton series. Since the system exhibits no spherical symmetry, the angular momentum is not conserved. Thus, the classical dynamics becomes non-integrable, resulting in the possibility of chaotic motion. Here, we investigate the classical dynamics of the yellow and green exciton series in cuprous oxide for two-dimensional orbits in the symmetry planes as well as fully three-dimensional orbits. Our analysis reveals substantial differences between the dynamics of the yellow and green exciton series. While it is mostly regular for the yellow series, large regions in phase space with classical chaos do exist for the green exciton series.

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Signatures of Exciton Orbits in Quantum Mechanical Recurrence Spectra of Cu2O

Cited by 4 publications

References 37 publications

Rydberg Excitons and Doubly Resonant Raman Scattering in Transition-Metal Dichalcogenides

Rydberg Excitons and Doubly Resonant Raman Scattering in Transition-Metal Dichalcogenides

The energy level spectrum of the yellow excitons in cuprous oxide

Rydberg excitons in cuprous oxide: A two-particle system with classical chaos

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