title: Three-dimensional study of the vector potential of magnetic structures.
abstract: The vector potential is central to a number of areas of condensed matter physics, such as superconductivity and magnetism. We have used a combination of electron wave phase reconstruction and electron tomographic reconstruction to experimentally measure and visualize the three-dimensional vector potential in and around a magnetic Permalloy structure. The method can probe the vector potential of the patterned structures with a resolution of about 13 nm. A transmission electron microscope operated in the Lorentz mode is used to record four tomographic tilt series. Measurements for a square Permalloy structure with an internal closure domain configuration are presented.
authors.affiliation: Argonne National Laboratory, 9700 S. Cass Avenue, Argonne, Illinois 60439, USA.
authors.forename: Charudatta
authors.initials: C
authors.lastname: Phatak
authors.forename: Amanda K
authors.initials: AK
authors.lastname: Petford-Long
authors.forename: Marc
authors.initials: M
authors.lastname: De Graef