- Art Gallery -

A trion is a localized excitation which consists of three charged particles. A negative trion consists of two electrons and one hole and a positive trion consists of two holes and one electron. The trion itself is a quasiparticle and is somewhat similar to an exciton, which is a complex of one electron and one hole. The trion has a ground singlet state (spin s = 1/2) and an excited triplet state (s = 3/2). Here singlet and triplet degeneracies originate not from the whole system but from the two identical particles in it. The half-integer spin value distinguishes trions from excitons in many phenomena; for example, energy states of trions, but not excitons, are split in an applied magnetic field. Trion states were predicted theoretically in 1958;[1] they were observed experimentally in 1993 in CdTe/Cd1−xZnxTe quantum wells,[2] and later in various other optically excited semiconductor structures.[3][4] There are experimental proofs of their existence in nanotubes[5] supported by theoretical studies.[6] Despite numerous reports of experimental trion observations in different semiconductor heterostructures, there are serious concerns on the exact physical nature of the detected complexes. The originally foreseen 'true' trion particle has a delocalized wavefunction (at least at the scales of several Bohr radii) while recent studies reveal significant binding from charged impurities in real semiconductor quantum wells.[7]

Trions have been observed in atomically thin two-dimensional (2D) transition-metal dichalcogenide semiconductors.[8][9] In 2D materials the form of the interaction between charge carriers is modified by the nonlocal screening provided by the atoms in the layer. The interaction is approximately logarithmic at short range and of Coulomb 1/r form at long range.[10] The diffusion Monte Carlo method has been used to obtain numerically exact results for the binding energies of trions in 2D semiconductors within the effective mass approximation.[11][12][13]


Lampert, Murray A. (1958). "Mobile and Immobile Effective-Mass-Particle Complexes in Nonmetallic Solids". Physical Review Letters. 1 (12): 450–453. Bibcode:1958PhRvL...1..450L. doi:10.1103/PhysRevLett.1.450.
Kheng, K.; Cox, R. T.; d' Aubigné, Merle Y.; Bassani, Franck; Saminadayar, K.; Tatarenko, S. (1993). "Observation of negatively charged excitons X− in semiconductor quantum wells". Physical Review Letters. 71 (11): 1752–1755. doi:10.1103/PhysRevLett.71.1752. PMID 10054489.
Moskalenko, S. A.; et al. (2000). Bose-Einstein condensation of excitons and biexcitons: and coherent nonlinear optics with excitons. Cambridge University Press. p. 140. ISBN 0-521-58099-4.
Bimberg, Dieter (2008). Semiconductor Nanostructures. Springer. pp. 243–245. ISBN 978-3-540-77898-1.
Matsunaga, R.; Matsuda, K.; Kanemitsu, Y. (2011). "Observation of Charged Excitons in Hole-doped Carbon Nanotubes Using Photoluminescence and Absorption Spectroscopy". Physical Review Letters. 106 (37404): 1. arXiv:1009.2297. Bibcode:2011PhRvL.106c7404M. doi:10.1103/PhysRevLett.106.037404. PMID 21405298.
Marchenko, Sergey (2012). "Stability of Trionic States in Zigzag Carbon Nanotubes". Ukr. J. Phys. 57: 1055–1059. arXiv:1211.5754. Bibcode:2012arXiv1211.5754M.
Solovyev, V.V.; Kukushkin, I.V. (2009). "Measurement of binding energy of negatively charged excitons in GaAs/Al0.3Ga0.7As quantum wells". Phys. Rev. B. 79 (23): 233306. arXiv:0906.5612. Bibcode:2009PhRvB..79w3306S. doi:10.1103/PhysRevB.79.233306.
Ross, J.S.; et al. (2013). "Electrical control of neutral and charged excitons in a monolayer semiconductor". Nat. Commun. 4: 1474. arXiv:1211.0072. Bibcode:2013NatCo...4.1474R. doi:10.1038/ncomms2498. PMID 23403575.
Mak, K.F.; et al. (2013). "Tightly bound trions in monolayer MoS2". Nat. Mater. 12 (3): 207–211. arXiv:1210.8226. Bibcode:2013NatMa..12..207M. doi:10.1038/nmat3505. PMID 23202371.
Keldysh, L.V. (1979). "Coulomb interaction in thin semiconductor and semimetal films". JETP. 29: 658.
Ganchev, B.; et al. (2015). "Three-Particle Complexes in Two-Dimensional Semiconductors". Physical Review Letters. 114 (10): 107401. arXiv:1408.3981. Bibcode:2015PhRvL.114j7401G. doi:10.1103/PhysRevLett.114.107401. PMID 25815964.
Mayers, M.Z.; et al. (2015). "Binding energies and spatial structures of small carrier complexes in monolayer transition-metal dichalcogenides via diffusion Monte Carlo". Phys. Rev. B. 92 (16): 161404. arXiv:1508.01224. Bibcode:2015PhRvB..92p1404M. doi:10.1103/PhysRevB.92.161404.

Szyniszewski, M.; et al. (2017). "Binding energies of trions and biexcitons in two-dimensional semiconductors from diffusion quantum Monte Carlo calculations". Phys. Rev. B. 95 (8): 081301(R). arXiv:1701.07407. Bibcode:2017PhRvB..95h1301S. doi:10.1103/PhysRevB.95.081301.

Particles in physics

Up (quark antiquark) Down (quark antiquark) Charm (quark antiquark) Strange (quark antiquark) Top (quark antiquark) Bottom (quark antiquark)


Electron Positron Muon Antimuon Tau Antitau Electron neutrino Electron antineutrino Muon neutrino Muon antineutrino Tau neutrino Tau antineutrino


Photon Gluon W and Z bosons


Higgs boson

Ghost fields

Faddeev–Popov ghosts


Gluino Gravitino Photino


Axino Chargino Higgsino Neutralino Sfermion (Stop squark)


Axion Curvaton Dilaton Dual graviton Graviphoton Graviton Inflaton Leptoquark Magnetic monopole Majoron Majorana fermion Dark photon Planck particle Preon Sterile neutrino Tachyon W′ and Z′ bosons X and Y bosons


Proton Antiproton Neutron Antineutron Delta baryon Lambda baryon Sigma baryon Xi baryon Omega baryon


Pion Rho meson Eta and eta prime mesons Phi meson J/psi meson Omega meson Upsilon meson Kaon B meson D meson Quarkonium

Exotic hadrons

Tetraquark Pentaquark


Atomic nuclei Atoms Exotic atoms
Positronium Muonium Tauonium Onia Pionium Superatoms Molecules


Hexaquark Heptaquark Skyrmion


Glueball Theta meson T meson


Mesonic molecule Pomeron Diquark R-hadron


Anyon Davydov soliton Dropleton Exciton Hole Magnon Phonon Plasmaron Plasmon Polariton Polaron Roton Trion


Baryons Mesons Particles Quasiparticles Timeline of particle discoveries


History of subatomic physics
timeline Standard Model
mathematical formulation Subatomic particles Particles Antiparticles Nuclear physics Eightfold way
Quark model Exotic matter Massless particle Relativistic particle Virtual particle Wave–particle duality Particle chauvinism

Wikipedia books

Hadronic Matter Particles of the Standard Model Leptons Quarks

Physics Encyclopedia



Hellenica World - Scientific Library

Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License