The Gutzwiller method has been applied to investigate the intra-atomic correlation in the π-band of tubule $B(0,1)n$ versus the number of hexagons on the circumference $n.\mathrm{}$ The consequences of the correlation on the electronic (gap) and magnetic (susceptibility) properties have been examined. The critical on-site correlation term $U$ to obtain ferromagnetism or antiferromagnetism has been derived with respect to $n.\mathrm{}$ The transition from a paramagnetic to a diamagnetic magnetization obtained by Davids, Wang, Saxena, and Bishop has been studied within the present framework.

• Received 6 June 1997

DOI:https://doi.org/10.1103/PhysRevB.56.6420