b ningcunzheng@sztu.edu.cn
收稿日期:2024-06-29,
修回日期:2025-02-07,
录用日期:2025-02-09,
网络出版日期:2025-03-26,
纸质出版日期:2025-12
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The quadruplon in a monolayer semiconductor[J]. eLight, 2025,5.
Jiacheng Tang, Cun-Zheng Ning, Hao Sun, et al. The quadruplon in a monolayer semiconductor[J]. Elight, 2025, 5.
The quadruplon in a monolayer semiconductor[J]. eLight, 2025,5. DOI: 10.1186/s43593-025-00081-1.
Jiacheng Tang, Cun-Zheng Ning, Hao Sun, et al. The quadruplon in a monolayer semiconductor[J]. Elight, 2025, 5. DOI: 10.1186/s43593-025-00081-1.
The ultimate goal of understanding the structure of matter has spurred a constant search for composite particles
especially high-order correlated entities for nearly all forms of matter
from elementary particles
nuclei
and cold atoms
to condensed matter. So far
composite particles involving two or three constituent particles and their weak-coupling combinations have been experimentally studied
such as the Cooper pairs
excitons
trions
and bi-excitons in condensed matter physics
or diquarks
mesons
and di-mesons in quantum chromodynamics. Although genuine four-particle correlated entities have long been theorized in various materials
alternatively known as quadruplons (Rausch and Potthoff in New J. Phys. 18
2016)
quadrons (Quang et al. in Physica B 602
2021)
or quartets (Jiang et al. in Phys. Rev. B 95
2017)
the only closely related experimental evidence is the tetraquark observation at CERN (LHCb in Nat. Phys. 18
751–754
2022). In this article
we present for the first time the experimental evidence for the existence of a four-body entity in condensed matter
the quadruplon
involving two electrons and two holes in a monolayer of Molybdenum Ditelluride. Using the optical pump–probe technique
we discovered a series of new spectral features in addition to those of excitons and trions. Furthermore
we found that all these spectral features could be reproduced theoretically using transitions between the two-body and four-body complexes based on the Bethe–Salpeter equation. Interestingly
we found that the fourth-order irreducible cluster is necessary and sufficient for the new spectral features by using the corresponding cluster expansion technique. Thus
our experimental results combined with theoretical explanation provide strong evidence for the existence of a genuine four-particle entity
the quadruplon. In contrast to a bi-exciton which consists of two weakly interacting excitons
a quadruplon involves tightly bound four-particle entity without the presence of well-defined excitons. Our results could impact the understanding of the structure of materials in a wide range of physical systems and potentially lead to new photonic applications based on quadruplons.
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