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Transition--metal dichalcogenides (TMDs) uniquely combine topological electronic states realized without external magnetic fields with a strong optical response arising from long--lived excitons. Motivated by this confluence, we investigate…

Strongly Correlated Electrons · Physics 2026-04-28 Tianhong Lu , Luiz H. Santos

Exciton spectroscopy serves as a sensitive probe of electronic states in two-dimensional semiconductors. A prominent feature in optical spectra is the trion peak arising from the binding of a charge carrier to an exciton. The splitting…

Mesoscale and Nanoscale Physics · Physics 2025-07-23 Arthur Christianen , Atac Imamoglu

Monolayer and few-layer phosphorene are anisotropic quasi-two-dimensional (quasi-2D) van der Waals (vdW) semiconductors with a linear-dichroic light-matter interaction and a widely-tunable direct-band gap in the infrared frequency range.…

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 P. Glidic , I. Petkovic , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , C. Mora , D. Kovrizhin , A. Anthore , F. Pierre

We investigate the influence of capacitive coupling on the detection of anyon braiding in a single-edge interferometer realized in the fractional quantum Hall regime. In this setup, a quantum point contact bends a single edge into a loop,…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Noé Demazure , Flavio Ronetti , Benoît Grémaud , Laurent Raymond , Masayuki Hashisaka , Takeo Kato , Thierry Martin

It has been demonstrated numerically, mainly by considering ground state properties, that fractional quantum Hall physics can appear in lattice systems, but it is very difficult to study the anyons directly. Here, I propose to solve this…

Strongly Correlated Electrons · Physics 2015-01-29 Anne E. B. Nielsen

We study theoretically fundamental Coulomb-correlated complexes: neutral and charged excitons, also known as trions, in transition metal dichalogenides monolayers. We focus on the situation where one of the electrons occupies excited,…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 M. A. Semina , J. V. Mamedov , M. M. Glazov

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

Strong interactions between charges and light-matter coupled quasiparticles offer an intriguing prospect with applications from optoelectronics to light-induced superconductivity. Here, we investigate how the interactions between electrons…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Sangeet S. Kumar , Brendan C. Mulkerin , Meera M. Parish , Jesper Levinsen

Strong Coulomb interactions in low-dimensional quantum materials give rise to emergent bound states such as excitons and trions, which play a central role in correlated electronic phases. In quasi-one-dimensional systems, equilibrium…

Anyons are usually characterized by their topological data and their fractional quantum numbers under global symmetries. In lattice systems such as fractional Chern insulators (FCI), they are also mobile quasiparticles. Their motion…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Taige Wang , T. Senthil

Transition metal dichalcogenides and related layered materials in their monolayer and a few layers thicknesses regime provide a promising optoelectronic platform for exploring the excitonic- and many-body physics. Strain engineering has…

Mesoscale and Nanoscale Physics · Physics 2025-05-07 Yunus Waheed , Sumitra Shit , Jithin T Surendran , Indrajeet D Prasad , Kenji Watanabe , Takashi Taniguchi , Santosh Kumar

We propose a double channel mechanism for the formation of charged excitons (trions); they are formed through bi- and tri-molecular processes. This directly implies that both negatively and positively charged excitons coexist in a quantum…

Materials Science · Physics 2009-09-29 M. T. Portella-Oberli , J. Berney , L. Kappei , F. Morier-Genoud , J. Szczytko , B. Deveaud

In a Laughlin fractional quantum Hall state, one- and two-quasihole states can be obtained by diagonalizing the many-body Hamiltonian with a trapping potential or, for larger systems, from the linear combination of the edge Jack…

Strongly Correlated Electrons · Physics 2022-06-15 Jie Li , Dan Ye , Chen-Xin Jiang , Na Jiang , Xin Wan , Zi-Xiang Hu

The possibility of realizing bosonic fractional quantum Hall effect in ultra-cold atomic systems suggests a new route to producing and manipulating anyons, by introducing auxiliary bosons of a different species that capture quasiholes and…

Quantum Gases · Physics 2015-08-18 Yuhe Zhang , G. J. Sreejith , J. K. Jain

So far in the literature the terms "charged exciton" and "trion" are often confused with each other and mostly considered as the same. In this work we show this is not the case in 2D quantum dots with a parabolic confinement. By using the…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Nguyen Hong Quang , Nguyen Que Huong

A simple illustrative wave function with only three variational parameters is suggested to calculate the binding energy of negatively charged excitons (X-) as a function of quantum well width. The results of calculations are in agreement…

Strongly Correlated Electrons · Physics 2016-08-16 R. A. Sergeev , R. A. Suris , G. V. Astakhov , W. Ossau , D. R. Yakovlev

Trions and biexcitons in anisotropic two-dimensional materials are investigated within an effective mass theory. Explicit results are obtained for phosphorene and arsenene, materials that share features such as a direct quasi-particle gap…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Andrey Chaves , M. Z. Mayers , F. M. Peeters , D. R. Reichman

The optoelectronic properties of metal chalcogenide colloidal nanoplatelets are often interpreted in terms of excitonic states. However, recent spectroscopic experiments evidence the presence of trion states, enabled by the slow Auger…

Mesoscale and Nanoscale Physics · Physics 2021-05-06 David F. Macías-Pinilla , Josep Planelles , Iván Mora-Seró , Juan I. Climente

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