MAGNETIC-RESONANCE ON A RING OF AROMATIC-MOLECULES

We have calculated exactly the spectrum of electrons on a ring in a magnetic field for the case of the Hubbard interaction between electrons. We have found that very unusual resonances occur when the flux through the ring changes. The appearance of these resonances strongly depends on the total number of electrons N. They appear when the flux changes by DELTA-f = 1/N. In analogy with two-particle bound states one can think that on a ring with strong interactions between electrons, N-particle bound states appear. Such resonances may be found in aromatic molecules and on a ring system of singly connected quantum dots for 'Coulomb blockade' conditions.