We show that chemical fixation enables top-down micro-machining of large periodic 3D arrays of protein-encapsulated magnetic nanoparticles (NPs) without loss of order. We machined 3D micro-cubes containing a superlattice of NPs by means of focused ion beam etching, integrated an individual micro-cube to a thin-film coplanar waveguide and measured the resonant microwave response. Our work represents a major step towards well-defined magnonic metamaterials created from the self-assembly of magnetic nanoparticles. Keywords: Self-assembly; magnetic nanoparticle; Ferritin; Chemical fixation; Ferromagnetic resonance; Magnonic metamaterial; Magnonics Magnonic crystals from protein array 2
IntroductionInorganic NPs coated with surfactants can self-assemble via hydrophilic or hydrophobic interactions to form regular 2D or 3D structures (colloidal crystals) [1][2][3][4][5][6][7][8] and NPs coated with biological molecules, DNA or proteins can also form highly ordered structures with tunable lattice parameters. [9,10] Many potential applications for such materials require their patterning into well-defined shapes and the exact positioning of the self-assembled superlattices. For example, thin sections of semiconductor colloidal crystals would be useful for electronic devices exploiting the charge storage capacity of the NPs[11] and shaped arrays of metal NPs for plasmonic devices. [12] To develop integrated devices containing functional NPs periodically arranged in three dimensions, it is necessary to fabricate samples of the self-assembled 3D NPs arrays with welldefined geometries, often with flat surfaces, to precisely generate and analyze electric and magnetic properties. This is in particular true for superlattices consisting of ordered magnetic particles. Here, the long-range magnetic stray fields and demagnetization effect depend critically on the surfaces and alter the internal magnetic field. The internal magnetic field rules the microwave response and spin-wave (magnon) modes [13] which are of relevance in very different fields ranging from biomedicine[14] to microwave devices [15] and magnonics [16]. Non-flat or irregular surfaces do not allow one to precisely determine the demagnetization factors necessary for a detailed data analysis. At the same time three-dimensionally arranged nanoparticles are expected to exhibit lattice-induced anisotropic properties that might be compromised by irregular shapes. Therefore, a method to machine an exact shape and size with well-defined surfaces is indispensable for device development and applications while still keeping the periodicity of the NPs. Also precise positioning of the machined structure is of utmost importance.Thin sections of magnetic NPs are of special interest for their magnetotransport properties[17] and for use in magnetic devices operated at microwave frequencies. [14][15][16] Often, randomly oriented magnetic NPs have been addressed. [14,15,18] In the research field of magnonics, however, strictly periodic magnetic nanostructures that form artifici...