1 A preview of the subject of the book1.1 Symmetry considerations1.2 Ferroic materials1.3 Laser optics1.4 Creating the trinity1.5 Structure of this book2 Symmetry2.1 Describing interactions in condensed-matter systems2.2 Introduction to practical group theory2.3 Crystals2.4 Point groups and space groups2.5 From symmetries to properties3 Ferroic materials3.1 Ferroic phase transitions3.2 Ferroic states3.3 Antiferroic states3.4 Classification of ferroics4 Nonlinear optics4.1 Interaction of materials with the electromagnetic radiation field4.2 Wave equation in nonlinear optics4.3 Microscopic sources of nonlinear optical effects4.4 Important nonlinear optical processes4.5 Nonlinear spectroscopy of electronic states5 Experimental aspects5.1 Laser sources5.2 Experimental setups5.3 Temporal resolution6 Nonlinear optics on ferroics - an instructive example6.1 SHG contributions from antiferromagnetic Cr2O36.2 SHG spectroscopy6.3 Topography on antiferromagnetic domains6.4 Magnetic structure in the spin-flop phase7 The unique degrees of freedom of optical experiments7.1 Polarisation-dependent spectroscopy7.2 Spatial resolution - domains7.3 Temporal resolution - correlation dynamics8 Theoretical aspects8.1 Microscopic sources of SHG in ferromagnetic metals8.2 Microscopic sources of SHG in antiferromagnetic insulators9 SHG and multiferroics with magnetoelectric correlations9.1 Type-I multiferroics - the hexagonal manganites9.2 Type-I multiferroics - BiFeO39.3 Type-I multiferroics with strain-induced ferroelectricity9.4 Type-II multiferroics - MnWO49.5 Type-II multiferroics - TbMn2O59.6 Type-II multiferroics - TbMnO39.7 Type-II multiferroics with higher-order domain functionalities10 SHG and materials with novel types of primary ferroic order10.1 Ferrotoroidics10.2 Ferro-axial order - RbFe(MoO4)211 SHG and oxide electronics - thin films and heterostructures11.1 Growth techniques11.2 Thin epitaxial oxide films with magnetic order11.3 Thin epitaxial oxide films with ferroelectric order11.4 Poling dynamics in ferroelectric thin films11.5 Growth dynamics in oxide electronics by in-situ SHG probing12 Nonlinear optics on ordered states beyond ferroics12.1 Superconductors12.2 Metamaterials - photonic crystals12.3 Topological insulators13 A retrospect of the subject of the book
Manfred Fiebig received his doctorate from the University of Dortmund, Germany, in 1996. From 1997 to 1999, he was a JST Research Fellow at the University of Tokyo, Japan. He then headed a Junior Research Group at the University of Dortmund until his habilitation in 2001. From 2002 to 2006, he worked as a DFG Heisenberg Fellow at the Max Born Institute in Berlin. In 2006, he was appointed Professor of Experimental Solid-State Physics at the University of Bonn, Germany; a position he held until 2011. Since 2011, Manfred Fiebig has been Professor for Multifunctional Ferroic Materials in the Department of Materials at ETH Zurich where he heads a group of people uniting the cultural diversity of, at present, 15 nations. His honours include an ERC Advanced Investigator Grant, APS Fellowship, and election as corresponding member in the Academy of Sciences and Literature, Mainz. Most recently, Manfred Fiebig was awarded with the APS Frank Isakson Prize and the Stern-Gerlach Medal of the German Physical Society, their highest distinction in Experimental Physics.