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Realising strong photon-photon interactions in a solid-state setting is a major goal with far reaching potential for optoelectronic applications. Using Landau's quasiparticle framework combined with a microscopic many-body theory, we…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 M. A. Bastarrachea-Magnani , A. Camacho-Guardian , G. M. Bruun

Our goal is to provide a physical understanding of the elementary coupling between photon and biexciton and to derive the physical characteristics of the biexciton oscillator strength, following the procedure we used for trion. Instead of…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Combescot , O. Betbeder-Matibet

We show that a non-interacting gas of charge-$e/3$ anyons with exchange statistics $\theta=-\pi/3$ can superconduct through a hidden weak-pairing mechanism. Such an anyon gas arises naturally in doped fractional Chern insulators at filling…

Strongly Correlated Electrons · Physics 2026-05-20 Zheng-Duo Fan , Ashvin Vishwanath , Zijian Wang

Anyon collision experiments have recently demonstrated the ability to discriminate between fermionic and anyonic statistics. However, only one type of anyons associated with the simple Laughlin state at filling factor $\nu=1/3$ has been…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 M. Ruelle , E. Frigerio , J. -M. Berroir , B. Plaçais , J. Rech , A. Cavanna , U. Gennser , Y. Jin , G. Fève

Electrons living in a two-dimensional world under a strong magnetic field - the so-called fractional quantum Hall effect (FQHE) - often manifest themselves as fractionally charged quasiparticles (anyons). Moreover, being under special…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Bhattacharyya , Mitali Banerjee , Moty Heiblum , Diana Mahalu , Vladimir Umansky

We study a 2D system of trion-polaritons at the quantum level and demonstrate that for monolayer semiconductors they can exhibit a strongly nonlinear optical response. The effect is due to the composite nature of trion-based excitations…

Quantum Physics · Physics 2020-11-11 O. Kyriienko , D. N. Krizhanovskii , I. A. Shelykh

We propose a method to extract the mutual exchange statistics of the anyonic excitations of a general Abelian fractional quantum Hall state, by comparing the tunneling characteristics of a quantum point contact in two different experimental…

Mesoscale and Nanoscale Physics · Physics 2023-11-03 Noam Schiller , Yotam Shapira , Ady Stern , Yuval Oreg

We present a simple analytic scheme for calculating the binding energy of excitons in semiconductors that takes full account of the existing anisotropy in the effective mass, as a complement to the qualitative treatment in most textbooks.…

Physics Education · Physics 2008-02-03 Arno Schindlmayr

Anyons are particles with fractional exchange statistics that emerge as elementary excitations of fractional quantum Hall phases. Experimentally, their exchange statistics can be measured in the edge-state Fabry-P\'erot interferometer. In…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 Noah L. Samuelson , Liam A. Cohen , Will Wang , Simon Blanch , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

In this work, we develop the basic formalism to study trions in semiconductor layered materials using the Faddeev equations in momentum space for three different particles lying in two dimensions. We solve the trion Faddeev coupled integral…

Mesoscale and Nanoscale Physics · Physics 2023-04-28 K. Mohseni , M. R. Hadizadeh , T. Frederico , D. R. da Costa , A. J. Chaves

Anyons are exotic quasiparticles living in two dimensions that do not fit into the usual categories of fermions and bosons, but obey a new form of fractional statistics. Following a recent proposal [Phys. Rev. Lett. 98, 150404 (2007)], we…

Quantum Physics · Physics 2010-04-22 Chao-Yang Lu , Wei-Bo Gao , Otfried Gühne , Xiao-Qi Zhou , Zeng-Bing Chen , Jian-Wei Pan

We observe trion emission from suspended carbon nanotubes where carriers are introduced electrostatically using field-effect transistor structures. The trion peak emerges below the $E_{11}$ emission energy at gate voltages that coincide…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 M. Yoshida , A. Popert , Y. K. Kato

A key property of topologically ordered systems, such as Quantum Hall states, is the existence of excitations obeying fractional quantum statistics - anyons. We develop a theory for multicomponent counterflow states where an ordinary…

Strongly Correlated Electrons · Physics 2026-03-18 Jun-Xiao Hui , T. H. Hansson , Egor Babaev

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

Layered two-dimensional (2D) semiconductors such as molybdenum disulfide (MoS2) have recently attracted remarkable attention because of their unique physical properties. Here, we use photoluminescence (PL) and Raman spectroscopy to study…

We investigate the transport of excitons and trions in monolayer semiconductor WS$_2$ subjected to controlled non-uniform mechanical strain. We actively control and tune the strain profiles with an AFM-based setup in which the monolayer is…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Moshe G. Harats , Jan N. Kirchhof , Mengxiong Qiao , Kyrylo Greben , Kirill I. Bolotin

Charged optical excitations (trions) generated by charge carrier injection are crucial for emerging optoelectronic technologies as they can be produced and manipulated by electric fields. Trions and neutral excitons can be efficiently…

Atomic and Molecular Clusters · Physics 2021-12-23 Jiří Doležal , Sofia Canola , Pablo Merino , Martin Švec

The dichotomy between fermions and bosons is at the root of many physical phenomena, from metallic conduction of electricity to super-fluidity, and from the periodic table to coherent propagation of light. The dichotomy originates from the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ady Stern

A convenient and effective way in the quantum double model to study anyons in a topological space with a tensor product structure is to create and braid anyons using ribbon operators connected to a common base site [A. Kitaev Ann.\ Phys.…

Quantum Physics · Physics 2015-06-12 Xi-wang Luo , Yong-jian Han , Guang-can Guo , Xingxiang Zhou , Zheng-Wei Zhou

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged.…

Quantum Physics · Physics 2009-01-14 M. Aguado , G. K. Brennen , F. Verstraete , J. I. Cirac