Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-06-06
Eur. Phys. J. B 71 339-344 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 3 figures; Proceeding of the Workshop on Magnetoelectric Interaction Phenomena in Crystals (MEIPIC-6); To be appeared
Scientific paper
10.1140/epjb/e2009-00225-1
In this proceeding, recent theoretical investigations by the authors on the multiferroic $R$MnO$_3$ perovskites are briefly reviewed at first. Using the double-exchange model, the realistic spiral spin order in undoped manganites such as TbMnO$_3$ and DyMnO$_3$ is well reproduced by incorporating a weak next-nearest neighbor superexchange ($\sim10%$ of nearest neighbor superexchange) and moderate Jahn-Teller distortion. The phase transitions from the A-type antiferromagnet (as in LaMnO$_3$), to the spiral phase (as in TbMnO$_3$), and finally to the E-type antiferromagnet (as in HoMnO$_3$), with decreasing size of the $R$ ions, were also explained. Moreover, new results of phase diagram of the three-dimensional lattice are also included. The ferromagnetic tendency recently discovered in the LaMnO$_3$ and TbMnO$_3$ thin films is explained by considering the substrate stress. Finally, the relationship between our double-exchange model and a previously used $J_1$-$J_2$-$J_3$ model is further discussed from the perspective of spin wave excitations.
Dagotto Elbio
Dong Shuai
Liu Jian-Miin
Yu Rong
Yunoki Seiji
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