Site- vs Bond-centered ordering, peierls state and ferroelectricity in oxides

Daniel Khomskii

II. Physikalisches Institut, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany


In studying superstructures in transition metal oxides such as charge or orbital ordering, one usually considers site-centered superstructures. Such are for instance the standard checkerboard charge ordering in La0.5Ca0.5MnO3, or Verwey charge ordering in magnetite. Hovewer there exist another possibility: bond-centered superstructures, such as e.g. the Peierls state in low-dimensional systems. In this talk I will consider the possibility of competition or coexistence of site-centered and bond-centered structures on a few examples. One is the charge ordering in less-than-half-doped manganites. We have recently shown [1] that in this case indeed a bond-centered ordering may exist, and, moreover, bond-centered ordering may coexist with site-centered one, in which case the resulting state would be ferroelectric. This as a rare case of ferroelectricity in magnetic material \x{2013} the so called multiferroic behaviour.
The second topic is an orbitally-driven Peierls state [2]. I will show that in spinels and in some other frustrated systems a site-centered orbital ordering (ODW-Orbital Density Wave) may lead to the formation of bond-centered singlet Peierls-like states. This picture gives a simple explanation of extremely strange superstructures observed recently in MgTi2O4 [3] and CuIr2S4 [4], and may be relevant for several other materials, such as NaTiO2, La4Ru2O10 [5] and some others. I will also give a general discussion in which cases bond-centered structures may be favourable.

[1] D.Efremov. J.van den Brink and D.Khomskii, Nature Materials, 3, 853 (2004),
[2] D.Khomskii and T.Mizokawa, cond-mat/0407458
[3] M.Schmidt et al., Phys.Rev.Lett. 92, 056402 (2004)
[4] P.G.Radaelli et al., Nature 416, 155 (2002)
[5] P.Khalifah et al., Science 297, 2237 (2002)