Cluster Statistics of BTW automata

The cluster statistics of BTW automata in the SOC states are obtained by extensive computer simulation. Various moments of the clusters are calculated and few results are compared with earlier available numerical estimates and exact results. Reasonably good agreement is observed. An extended statistical analysis has been made.Comment: 8 pages Latex, To appear in Acta Physica Polonica B (2011

Emergent Magnetism at the 3dd-5dd Interface: SrMnO3/_3/SrIrO3_3

Recent experiments have found new magnetic behaviors, which are different from the parent bulk materials, at the interfaces between 3$d$ and 5$d$ oxides such as SrMnO$_3$ (SMO) and SrIrO$_3$ (SIO). The system is of considerable interest due to the strong spin-orbit coupling in the 5$d$ materials on one hand and the double exchange physics in SMO on the other, which belongs to the class of the colossal magnetoresistive (CMR) manganites. In order to gain insight into the physics of the system, we have performed density-functional studies on a selected interface structure, viz., the (SMO)$_1$(SIO)$_1$ superlattice, which has been experimentally grown and studied. Our density-functional results show that the interfacial magnetism is controlled by a net charge transfer at the interface from the SIO to the SMO side, turning both of them into ferromagnetic metal from the original antiferromagnetic insulating state in the bulk. The transferred electrons to the SMO side make it ferromagnetic through the Anderson-Hasegawa double exchange interaction, while the SIO part becomes ferromagnetic due to the doping of the half-filled Mott-Hubbard insulator as suggested by the Nagaoka Theorem. Our results are discussed in the context of the experiments for the same structure.Comment: 7 pages, 4 figure