Conductance of crossed carbon nanotubes

The effective Hamiltonian for two crossed nanotubes is derived in a k.p scheme and the conductance between them is calculated in the Born approximation. The conductance is found to depend strongly on the crossing angle with large maxima at commensurate stacking of lattices of two nanotubes. In a magnetic field perpendicular to both nanotubes, these two maxima exhibit a field dependence completely different to each other.