11 research outputs found
Monte Carlo Simulations for the Magnetic Phase Diagram of the Double Exchange Hamiltonian
We have used Monte Carlo simulation techniques to obtain the magnetic phase
diagram of the double exchange Hamiltonian. We have found that the Berry's
phase of the hopping amplitude has a negligible effect in the value of the
magnetic critical temperature. To avoid finite size problems in our simulations
we have also developed an approximated expression for the double exchange
energy. This allows us to obtain the critical temperature for the ferromagnetic
to paramagnetic transition more accurately. In our calculations we do not
observe any strange behavior in the kinetic energy, chemical potential or
electron density of states near the magnetic critical temperature. Therefore,
we conclude that other effects, not included in the double exchange
Hamiltonian, are needed to understand the metal-insulator transition which
occurs in the manganites.Comment: 6 pages Revtex, 8 PS figure
Quantum Hall ferromagnets, cooperative transport anisotropy, and the random field Ising model
We discuss the behaviour of a quantum Hall system when two Landau levels with
opposite spin and combined filling factor near unity are brought into energetic
coincidence using an in-plane component of magnetic field. We focus on the
interpretation of recent experiments under these conditions [Zeitler et al,
Phys. Rev. Lett. 86, 866 (2001); Pan et al, Phys. Rev. B 64, 121305 (2001)], in
which a large resistance anisotropy develops at low temperatures. Modelling the
systems involved as Ising quantum Hall ferromagnets, we suggest that this
transport anisotropy reflects domain formation induced by a random field
arising from isotropic sample surface roughness.Comment: 4 pages, submitted to Physical Review
Conductance as a Function of the Temperature in the Double Exchange Model
We have used the Kubo formula to calculate the temperature dependence of the
electrical conductance of the double exchange Hamiltonian. We average the
conductance over an statistical ensemble of clusters, which are obtained by
performing Monte Carlo simulations on the classical spin orientation of the
double exchange Hamiltonian. We find that for electron concentrations bigger
than 0.1, the system is metallic at all temperatures. In particular it is not
observed any change in the temperature dependence of the resistivity near the
magnetical critical temperature. The calculated resistivity near is
around ten times smaller than the experimental value. We conclude that the
double exchange model is not able to explain the metal to insulator transition
which experimentally occurs at temperatures near the magnetic critical
temperature.Comment: 6 pages, 5 figures included in the tex