Spin Susceptibility of Helical Carbon-Based Nanostructures with Almost Filled Band and Spin-Orbit Coupling

Some theoretical studies using perturbation and tight-binding methods have tried to shed light on the magnetic behaviors of carbon-based nanostructures in the limit of wave vector \(\mathbf {q=0}\). In a recent work, we studied a half-filled model of helical carbon chains to gain new insights for \(\mathbf {q \ne 0}\). Although in carbon the energy bands are usually derived from partially filled atomic p-shells, here we explore the hole contribution to these magnetic responses. We calculate the longitudinal spin susceptibility of an almost-filled tight-binding model of a helical chain for \(\mathbf {q\ne 0}\). We find that when the Fermi level lies at the band edges, the system shows for positive chirality a divergent paramagnetic susceptibility. This result is in agreement with that previously reported for the macroscopic limit \(\mathbf {q=0}\).