Existing experiments indicate that low recycling of exhausted particles can improve the energy confinement in tokamaks, very likely by preventing the cooling of the plasma edge and thereby causing a reduction in the level of plasma turbulence. This can reduce the size of a tokamak fusion reactor, making the latter a more viable source of energy. The necessary conditions for low recycling can be achieved with the use of a new magnetic divertor, where the exhausted particles are injected through a narrow aperture into a large chamber. Exhausting the particles into a large chamber prevents their return to the plasma, resulting in a reduction in plasma recycling to a level where existing experiments have shown a large enhancement in plasma confinement. Other benefits of the proposed divertor are better efficiency of fusion power production, improved plasma stability and lower level of impurities.