TY - JOUR
T1 - Correlation and dimensional effects of trions in carbon nanotubes
AU - Rønnow, Troels Frimodt
AU - Pedersen, Thomas Garm
AU - Cornean, Horia
PY - 2010
Y1 - 2010
N2 - We study the binding energies of singlet trions, i.e., charged excitons, in carbon nanotubes. The problem is modeled, through the effective-mass model, as a three-particle complex on the surface of a cylinder, which we investigate using both one- and two-dimensional expansions of the wave function. The effects of dimensionality and correlation are studied in detail. We find that the Hartree-Fock approximation significantly underestimates the trion binding energy. Combined with band structures calculated using a nonorthogonal nearest-neighbor tight-binding model, the results from the cylinder model are used to compute physical binding energies for a wide selection of carbon nanotubes. In addition, the dependence on dielectric screening is examined. Our findings indicate that trions are detectable at room temperature in carbon nanotubes with radius below 8 Å.
AB - We study the binding energies of singlet trions, i.e., charged excitons, in carbon nanotubes. The problem is modeled, through the effective-mass model, as a three-particle complex on the surface of a cylinder, which we investigate using both one- and two-dimensional expansions of the wave function. The effects of dimensionality and correlation are studied in detail. We find that the Hartree-Fock approximation significantly underestimates the trion binding energy. Combined with band structures calculated using a nonorthogonal nearest-neighbor tight-binding model, the results from the cylinder model are used to compute physical binding energies for a wide selection of carbon nanotubes. In addition, the dependence on dielectric screening is examined. Our findings indicate that trions are detectable at room temperature in carbon nanotubes with radius below 8 Å.
U2 - 10.1103/PhysRevB.81.205446
DO - 10.1103/PhysRevB.81.205446
M3 - Journal article
SN - 1098-0121
VL - 81
SP - 205446
JO - Physical Review B. Condensed Matter and Materials Physics
JF - Physical Review B. Condensed Matter and Materials Physics
IS - 20
ER -