Strong correlation effects in the (5,5)@(10,10) double-walled carbon nanotubes in the framework of the t–J model

Abstract

Double-walled carbon nanotubes are coaxial nanostructures composed of exactly two single-walled carbon nanotubes, one nested in another. This unique structure offers advantages and opportunities for extending our knowledge and application of the carbon nanomaterials family. An emphasis is placed on the double wall physics that contributes to these structures' complex inter-wall coupling of electronic and optical properties. The susceptibility tensor of doublewalled carbon nanotubes of the "armchair" type the ABAB packing of layers is investigated theoretically in the weak and strong correlation regime. We calculated the spin and charge susceptibility tensor for of the (5,5)@(10,10) double-walled carbon nanotubes using the random-phase approximation in the weak correlation regime. The relationship with the Heisenberg limit (large U/t) is discussed. Our results show that the susceptibility spectra of the (5,5)@(10,10) doublewalled carbon nanotubes shift peaks to lower energies with increase in the correlation parameter of the t-J model (U ≥ t). These results show that electronic correlation effects should be taken into account in theoretical studies of doublewalled carbon nanotubes. We discuss the relevance of our results for the C 20 and C 60 fullerens and (5,5) nanotubes.