**On the Role of Local Many-Body Interactions on the Thermoelectric Properties of Fullerene Junctions**

### **Carmine Antonio Perroni \* and Vittorio Cataudella**

CNR-SPIN and Physics Department "E. Pancini", Università Federico II, Via Cinthia, I-80134 Napoli, Italy **\*** Correspondence: perroni@fisica.unina.it

Received: 30 June 2019; Accepted: 31 July 2019; Published: 1 August 2019

**Abstract:** The role of local electron–vibration and electron–electron interactions on the thermoelectric properties of molecular junctions is theoretically analyzed focusing on devices based on fullerene molecules. A self-consistent adiabatic approach is used in order to obtain a non-perturbative treatment of the electron coupling to low frequency vibrational modes, such as those of the molecule center of mass between metallic leads. The approach also incorporates the effects of strong electron–electron interactions between molecular degrees of freedom within the Coulomb blockade regime. The analysis is based on a one-level model which takes into account the relevant transport level of fullerene and its alignment to the chemical potential of the leads. We demonstrate that only the combined effect of local electron–vibration and electron–electron interactions is able to predict the correct behavior of both the charge conductance and the Seebeck coefficient in very good agreemen<sup>t</sup> with available experimental data.

**Keywords:** molecular junctions; thermoelectric properties; electron–vibration interactions; electron–electron interactions
