Modulation of electric field on persistent current of carbon nanotubes

We use tight-binding model including curvature effects to study the effect of transverse electric field on the persistent currents of armchair and zigzag carbon nanotubes (ACNTs and ZCNTs) threaded by longitudinal magnetic field. With increasing field strength, ZCNTs could undergo zero-gap transitions, whereas metallic ACNTs are not affected. The current amplitude, without electric field, in a (m,m$m,m$) ACNT is inversely proportional to m²$m^2$. However, for a (m,0$m,0$) ZCNT, it is determined by the modulus of m with respect to three. Electric field could enhance the current amplitude of an ACNT, but could not change its magnetism. As for a ZCNT, both electric-field-distorted electronic states and zero-gap transitions determine a change in magnetism that is pronouncedly related with nanotube's geometry.