Magneto-chiral anisotropy of the free electron on a helix

The free electron on a helix as a simple model of a molecular chiral conductor is considered. In the presence of a static magnetic field parallel to the helix axis, it is found that both ballistic and diffusive electrical transport along the helix show a conductivity that depends linearly on the current and the magnetic field and on the handedness of the helix. These results agree qualitatively with the recently experimentally observed electrical magneto-chiral anisotropy in carbon nanotubes [V. Krstić, S. Roth, M. Burghard, K. Kern, G.L.J.A. Rikken, Max-Planck-Institut für Festkörperforschung, Stuttgart, Germany; Grenoble High Magnetic Field Laboratory, MPI-CNRS, Grenoble, France; Laboratoire National des Champs Magnétiques Pulsés, CNRS/INSA/UPS, UMS 5462, Toulouse, France].