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We develop a theoretical description of Coulomb interactions between trions (charged excitons) that define a nonlinear optical response in doped two-dimensional semiconductors. First, we formulate a microscopic theory of trion-trion…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Kok Wee Song , Salvatore Chiavazzo , Ivan A. Shelykh , Oleksandr Kyriienko

Fibonacci anyons provide the simplest possible model of non-Abelian fusion rules: [1] x [1] = [0] + [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle…

High Energy Physics - Theory · Physics 2024-08-20 Ludmil Hadjiivanov , Lachezar S. Georgiev

A theoretical investigation of the trion formation process from free carriers in a single GaAs/Al_{1-x}Ga_{x}As quantum well is presented. The mechanism for the formation process is provided by the interaction of the electrons and holes…

Materials Science · Physics 2009-01-26 J. Berney , M. T. Portella-Oberli , B. Deveaud-Plédran

Quasiholes in certain fractional quantum Hall states are promising candidates for the experimental realization of non-Abelian anyons. They are assumed to be localized excitations, and to display non-Abelian statistics when sufficiently…

Strongly Correlated Electrons · Physics 2014-09-10 Yang-Le Wu , B. Estienne , N. Regnault , B. Andrei Bernevig

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

Monolayer semiconductors, given their thickness at the atomic scale, present unique electrostatic environments due to the sharp interfaces between the semiconductor film and surrounding materials. These interfaces significantly impact both…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Kelly Y. Muñoz-Gómez , Hanz Y. Ramírez-Gómez

A variational calculation of the ground state of a neutral exciton and of positively and negatively charged excitons (trions) in single quantum well is presented. We study the dependance of the correlation energy and of the binding energy…

Strongly Correlated Electrons · Physics 2015-06-24 C. Riva , F. M. Peeters , K. Varga

The quantum Hall (QH) effect represents a unique playground where quantum coherence of electrons can be exploited for various applications, from metrology to quantum computation. In the fractional regime it also hosts anyons, emergent…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 Matteo Carrega , Luca Chirolli , Stefan Heun , Lucia Sorba

We present an absorption study of the neutral and positively charged exciton (trion) under the influence of a femtosecond, circularly polarized, resonant pump pulse. Three populations are involved: free holes, excitons, and trions, all…

Materials Science · Physics 2014-01-29 P. Plochocka , P. Kossacki , W. Maslana , J. Cibert , S. Tatarenko , C. Radzewicz , J. A. Gaj

We report the first observation of an optical transition from a ground trion state T to excited trion state T* in (6,5) single-wall carbon nanotubes non-covalently doped with hydrochloric acid. The position of such an excited trion level T*…

Mesoscale and Nanoscale Physics · Physics 2018-05-07 T. V. Eremin , P. A. Obraztsov , V. A. Velikanov , T. V. Shubina , E. D. Obraztsova

Excitonic condensation and superfluidity have recently received a renewed attention, due to the fabrication of bilayer systems in which electrons and hole are spatially separated and form stable pairs known as indirect excitons.…

Strongly Correlated Electrons · Physics 2023-06-05 Cesare Malosso , Gaetano Senatore , Stefania De Palo

Electrons commonly couple through Fr\"ohlich interactions with longitudinal optical phonons to form polarons. However, trions possess a finite angular momentum and should therefore couple instead to rotational optical phonons. This creates…

We numerically investigate the properties of the quasihole excitations above the bosonic fractional Chern insulator state at filling $\nu = 1/2$, in the specific case of the Harper-Hofstadter Hamiltonian with hard-core interactions. For…

We propose a setup to directly measure the anyonic statistical angle on a single edge of a fractional quantum Hall system, without requiring independent knowledge of non-universal parameters. We consider a Laughlin edge state bent into a…

The role of anyonic statistics stands as a cornerstone in the landscape of topological quantum techniques. While recent years have brought forth encouraging and persuasive strides in detecting anyons, a significant facet remains unexplored,…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Gu Zhang , Pierre Glidic , Frederic Pierre , Igor Gornyi , Yuval Gefen

The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

We analyze the transport properties of bilayer quantum Hall systems at total filling factor $\nu=1$ in drag geometries as a function of interlayer bias, in the limit where the disorder is sufficiently strong to unbind meron-antimeron pairs,…

Mesoscale and Nanoscale Physics · Physics 2008-07-29 Bahman Roostaei , Kieran J. Mullen , Herbert A. Fertig , Steven H. Simon

We demonstrate exciton and charged exciton (trion) electroluminescence from frozen p-n junctions in networks of polymer-sorted, semiconducting (6,5) single-walled carbon nanotubes. Electrolyte-gating with an ionic liquid was employed to…

We investigate, within the envelope function approximation, the low-energy states of trions in graphene quantum dots. The presence of valley pseudospin in graphene as an electron degree of freedom apart from spin adds convolution to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 H. -C. Cheng , N. -Y. Lue , Y. -C. Chen , G. Y. Wu

We consider the string-net model on the honeycomb lattice for Ising anyons in the presence of a string tension. This competing term induces a nontrivial dynamics of the non-Abelian anyonic quasiparticles and may lead to a breakdown of the…

Strongly Correlated Electrons · Physics 2014-05-28 M. D. Schulz , S. Dusuel , G. Misguich , K. P. Schmidt , J. Vidal
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