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LuFe2O4 is a multiferroic system which exhibits ferroelectricity, chargeorder, and ferrimagnetic order simultaneously below ~230 K. The ferroelectricdomains of LuFe2O4 are imaged with both piezoresponse force microscopy (PFM)and electrostatic force microscopy (EFM), while the magnetic domains arecharacterized by magnetic force microscopy (MFM). Comparison of PFM and EFMresults lead to a conclusion that the ferroelectricity is of electronic originas opposed to the usual displacive one. Simultaneous characterization offerroelectric and magnetic domains by EFM and MFM, respectively, on the samesurface of LuFe2O4 reveals that both domains have irregular patterns of similarshape, but the length scales are quite different. The domain size isapproximately 100 nm for the ferroelectric domains while the magnetic domainsize is much larger and gets as large as 1{\mu}m. We also demonstrate that theorigin of the formation of irregular domains in LuFe2O4 is not extrinsic butintrinsic.

Ferroelectric and Magnetic Domains in LuFe2O4 Observed by Scanning Probe Microscopy