We propose that spin current rectification in molecular junctions can take two different forms consistent with thermodynamic considerations: A weak form in which the spin current reverses direction when the bias applied to the junction is reversed and a strong form in which the direction of the spin current is unchanged upon reversal of the bias. We present calculations of spin-dependent transport in several molecular junctions bridging ferromagnetic ͑Fe or Ni͒ and nonmagnetic ͑Au or Pd͒ contacts and identify specific systems that should exhibit spin current rectification of each type in appropriate ranges of the applied bias voltage. Our results indicate that molecular junctions displaying both spin-current and charge-current rectification should be possible, and may find practical application in nanoscale devices that combine logic and memory functions.

We present calculations of spin-dependent electron transport through single organic molecules bridging pairs of iron nanocontacts. We predict the magnetoresistance of these systems to switch from positive to negative with increasing applied bias for both conducting and insulating molecules. This inverse magnetoresistance phenomenon does not depend on the presence of impurities and is unique to nanoscale magnetic junctions. Its physical origin is identified and its relevance to experiment and to potential technological applications is discussed.

On the basis of ab initio and semiempirical calculations, we predict single alkane dithiolate molecules bridging transition metal nanoelectrodes (including Pd/Rh, Pt/Rh, and Pt/Pt) to exhibit negative differential resistance (NDR). The mechanism is resonant conduction via interface states arising from hybridization between molecular thiol groups and transition metal d orbitals. We show how the NDR realized in this new way can be controlled by tailoring interface state properties through appropriate choice of nanoelectrode transition metals and surface structures.

We present a theory of nonlinear transport phenomena in molecular junctions where single thiolated organic molecules bridge transition metal nanocontacts whose densities of states have strong d orbital components near the Fermi level. At moderate bias, we find electron transmission between the contacts to be mediated by interface states within the molecular highest-occupied-molecular-orbital-lowest-unoccupied-molecular-orbital gap that arise from hybridization between the thiol-terminated ends of the molecules and the d orbitals of the transition metals. Because these interface states are localized mainly within the metal electrodes, we find their energies to accurately track the electrochemical potentials of the contacts when a variable bias is applied across the junction. We predict resonant enhancement and reduction of the interface state transmission as the applied bias is varied, resulting in negative differential resistance ͑NDR͒ in molecular junctions with Pd nanocontacts. We show that these nonlinear phenomena can be tailored by suitably choosing the nanocontact materials: If a Rh electrode is substituted for one Pd contact, we predict enhancement of these NDR effects. The same mechanism is also predicted to give rise to rectification in Pd/molecule/Au junctions. The dependences of the interface state resonances on the orientation of the metal interface, the adsorption site of the molecule, and the separation between the thiolated ends of the molecule and the metal contacts are also discussed.

We present theoretical predictions of spintronic transport phenomena that should be observable in ferromagnetic Fe nanocontacts bridged by chains of Fe atoms. We develop appropriate model Hamiltonians based on semi-empirical considerations and the known electronic structure of bulk Fe derived from ab initio density functional calculations. Our model is shown to provide a satisfactory description of the surface properties of Fe nano-clusters as well as bulk properties. LippmannSchwinger and Green's function techniques are used together with Landauer theory to predict the current, magneto-resistance, and spin polarization of the current in Fe nanocontacts bridged by atomic chains under applied bias. Unusual device characteristics are predicted including negative magneto-resistance and spin polarization of the current, as well as spin polarization of the current for anti-parallel magnetization of the Fe nanocontacts under moderate applied bias. We explore the effects that stretching the atomic chain has on the magneto-resistance and spin polarization and predict a cross-over regime in which the spin polarization of the current for parallel magnetization of the contacts switches from negative to positive. We find resonant transmission due to dangling bond formation on tip atoms as the chain is stretched through its breaking point to play an important role in spin-dependent transport in this regime. The physical mechanisms underlying the predicted phenomena are discussed.PACS numbers: 75.47.-m,73.63.-b,72.25.-b,72.10.-d