Electrical conductivity of double-walled carbon nanotubes in the framework of the Hubbard model

The electrical conductivity of double-walled carbon nanotubes of the “armchair” type with the ABAB packing of layers is investigated theoretically. The temperature dependences of the longitudinal electrical conductivity σ(T) for a number of double-walled carbon nanotubes, such as the (3, 3)@(8, 8), (5, 5)@(10, 10), (8, 8)@(13, 13), (10, 10)@(15, 15), and (15, 15)@(20, 20) nanotubes, are obtained in the framework of the Hubbard model with the use of the Green’s function method. It is revealed that the dependences of the electrical conductivity for single-walled and double-walled carbon nanotubes exhibit different behavior in the temperature range from 30 to 60 K. In particular, the dependence of the electrical conductivity for the double-walled carbon nanotubes flattens out in this temperature range.