Modified Spin-Wave Theory for Nanomagnets : Application to the Keplerate Molecule Mo(72)Fe(30)

We adapt Takahashi's modified spin-wave theory to the context of nano-magnets, and apply it to the molecular compound based on the giant magnetic molecule Mo(72)Fe(30). This involves solving numerically the mean-field equations and then forcing the sublattice magnetizations to zero by means of local chemical potentials for the magnons. We have thus constructed a quantum state with no local magnetization at all temperatures, appropriate to a finite-size system, but with strong correlations. We compare theoretical results to specific heat and ESR measurements.Comment: 12 pages, 11 figure

Transverse magnetization and transient oscillations in the quantum tunneling of molecular magnets

We calculate the response of a molecular magnet subject to a time-varying magnetic field and coupled to a heat bath. We propose that observations of calculated oscillations transverse to the field direction may be an effective way of demonstrating quantum tunneling and thus probing the details of level repulsion. The effective model of a triangle of Heisenberg spins and weak anisotropies, as has been used to model the molecular magnets V15 and Cu3, is used to illustrate this

Why RKKY exchange integrals are inappropriate to describe ferromagnetism in diluted magnetic semiconductors

We calculate Curie temperatures and study the stability of ferromagnetism in diluted magnetic materials, taking as a model for the exchange between magnetic impurities a damped Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction and a shor t range term representing the effects of superexchange. To properly include effects of spin and thermal fluctuations as well as geometric disorder, we solve the effective Heisenberg Hamiltonian by means of a recently developed semi-analytical approach. This approach, ``self-consistent local Random Phase Approximation (SC-L RPA)'', is explained. We show that previous mean-field treatments, which have been widely used in the literature, largely overestimate both the Curie temperatures and the stability of ferromagnetism as a function of carrier density. The discr epancy when compared to the current approach was that effects of frustration in RKKY oscillations had been strongly underestimated by such simple mea n-field theories. We argue that the use, as is frequent, of a weakly-disordered RKKY exchange to model ferromagnetism in diluted III-V systems is inconsistent with the observation of ferromagnetism over a wide region of itinerant carrier densities. This may be puzzling when compared to the apparent success of calculations based on {\it ab-initio} estimates of the coupling; we propose a resolution to this issue by taking RKKY-like interactions between resonant states close to the Fermi level.Comment: Accepted for publication in Physical Review B. 22 pages, 7 figure

Model for vacancy-induced d0^0 ferromagnetism in oxide compounds

We propose a model with few parameters, for vacancy-induced ferromagnetism based on a correlated model for anions (oxygen orbitals) with random potentials that represent cation vacancies. There is a range of potential strength for which moments appear on oxygen sites neighboring the vacancies. By using techniques which allow us to treat the randomness exactly, we calculate the magnetic couplings between the total moment around each vacancy, the Curie temperature and dynamical correlations as a function of the effective stren gth of the vacancy potential and doping properties, the density of vacancies, as well as the correlation and band width of the host. For physically reasonable parameters this predicts Curie temperatures well above room temperature for small concentrations of vacancies and appropriate parameters. We disc uss our results in relation to questions of stability and reproducibility raised in experiments. To circumvent the difficulties of controlling intrinsic defects, we propose specific non-magnetic host doping that could be, for example, substituted for cations in HfO$_2$ or ZrO$_2$.Comment: 4 figures + tex files. Accepted for publication in Physical Review Letters. Note that the title has changed and the text is slightly modifie

Magnetic Structures and Spin-wave Excitations in Rare-Earth Iron Garnets near the Compensation Temperature

We introduce a simple model for the ferrimagnetic non-collinear ``magnetic umbrella" states of rare-earth iron garnets (REIG), common when the rare-earth moments have non-zero orbital angular momentum. The spin-wave excitations are calculated within linear spin wave theory and temperature effects via mean-field theory. This could be used to determine the magnetic polarization of each mode and thereby the spin currents generated by thermal excitations including the effects of mixed chirality. The spectra reproduce essential features seen in more complete models, with hybridization between the rare earth crystal field excitations and the propagating mode on the iron moments. By the symmetry of the model, only one rare earth mode hybridizes, inducing a gap at zero wave number and level repulsion at finite frequency. At the compensation point, the hybridization gap closes and finally, as we approach the N\'eel temperature, the hybridization gap appears to reopen. The chirality of the lowest mode changes its sign around the frequency at which the level repulsion occurs. This is important to estimate the spin current generation in REIGs.Comment: 6 pages, 8 figure