Excitons in C_60 studied by Temperature Dependent Optical Second- Harmonic Generation
A. M. Janner, R. Eder, B. Koopmans, H. T. Jonkman, G. A. Sawatzky

TL;DR
This study investigates the excitonic states in solid C_60 using temperature-dependent optical second-harmonic generation, revealing how rotational order affects exciton splitting and providing insights into the underlying electronic interactions.
Contribution
It introduces a novel application of SHG to probe forbidden excitonic states in C_60 and analyzes the effects of rotational order and symmetry on exciton splitting.
Findings
SHG line shape varies with rotational order
Splitting into two peaks observed below 260 K
Theoretical calculations support exciton state mixing
Abstract
The electric dipole forbidden T_1g excitonic state of solid C_60 at omega=1.81 eV can be probed with a Second-Harmonic Generation (SHG) experiment. We show that the SHG line shape depends strongly on the degree of rotational order. We observe a splitting into two peaks below the rotational ordering phase transition temperature of 260 K. The origin of this splitting is discussed in terms of a possible Jahn-Teller effect, a possible Davydov splitting due to the four molecules per unit cell in the low temperature phase, and a mixing of the nearly degenerate T_1g and G_g free molecule states because of the lower symmetry in the solid. The exciton band structure is calculated with a charge transfer mediated propagation mechanism as suggested by Lof et al. and with one-electron (-hole) transfer integrals determined from band structure calculations. Comparison with our experimental SHG data…
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