title: Three-particle complexes in two-dimensional semiconductors.
abstract: We evaluate binding energies of trions X±, excitons bound by a donor or acceptor charge X^{D(A)}, and overcharged acceptors or donors in two-dimensional atomic crystals by mapping 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 find that in monolayers of transition metal dichalcogenides the dissociation energy of X^{±} is typically much larger than that of localized exciton complexes, so that trions are more resilient to heating, despite the fact that their recombination line in optics is less redshifted from the exciton line than the line of X^{D(A)}.
authors: Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.
authors: Bogdan
authors: B
authors: Ganchev
authors: Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.
authors: Neil
authors: N
authors: Drummond
authors: Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.|Physics Department, Columbia University, New York, New York 10027, USA.
authors: Igor
authors: I
authors: Aleiner
authors: Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.
authors: Vladimir
authors: V
authors: Fal'ko