We report measurements in natural horse-spleen ferritin that provide a detailed mapping of the blocking temperature, T B , as a function of magnetic field over a broad range up to 20 kOe. Unlike most superparamagnetic materials where it decreases with applied field, T B increases with increasing field at small fields, reaching a maximum at Ϸ3 kOe before exhibiting the expected decrease. The hysteresis loops are anomalously ''pinched'' near zero field. Both observations are consistent with an effective energy barrier that is smaller at zero field than in small finite fields. This may arise from tunneling between pairs of states on opposite sides of the anisotropy barrier that are in resonance in zero magnetic field, regardless of particle size. However, direct measurements of the magnetic viscosity yield ambiguous results, leaving open other possible explanations.
͓S0163-1829͑97͒06441-2͔Quantum tunneling of magnetization has been the focus of renewed interest with the recent discovery 1,2 of resonant tunneling between spin states in the molecular-magnet Mn 12 acetate. The magnetic relaxation rate in Mn 12 was found to increase markedly whenever the applied magnetic field brings spin states on opposite sides of a potential barrier into resonance. These results have now been confirmed, 3,4 and recent experiments have found similar effects in other systems of magnetic molecules. 5,6 The mesoscopic spin-10 magnetic subunits in Mn 12 are each made of 12 strongly superexchange-coupled Mn ions. It would be interesting to observe similar effects in macroscopic systems where the magnetic entities are composed of a larger number ͑thousands͒ of spins. Molecular magnets such as Mn 12 consist of magnetic entities that are nominally identical and, therefore, have resonances at well-defined values of field. This is not the case for most other ensembles of small magnetic particles, which generally have a distribution of moments, anisotropies, and potential barriers. In such systems one expects there to be resonances for some particles at any given field, smearing out the effect and thereby making it unobservable. The only resonance that all particles have in common is the one at zero field, where spin-up and spindown levels are degenerate, and all pairs of states on opposite sides of the anisotropy barrier are in resonance, regardless of particle size. Thus, one expects to observe resonant tunneling effects only near zero applied field in systems containing a distribution of magnetic sizes.Horse-spleen ferritin is in many ways an ideal laboratory for searching for resonant tunneling. It is a superparamagnet that consists of an iron-storage protein with an antiferromagnetic core of diameter Ͻ8 nm such as ͑FeOOH͒ 8 ͑FeOPO 3 H 2 ). Although the magnetic cores are broadly distributed in size in natural ferritin, the maximum cluster size is limited by the volume of the protein cage; moreover, since each is contained within a protein molecule, the interaction between clusters is relatively small. Also, because ferritin is antiferromagn...