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The image formation mechanism in Piezoresponse Force Microscopy (PFM) of capacitor structures is analyzed. We demonstrate that the spatial resolution is a bilinear function of film and top electrode thicknesses, and derive the corresponding analytical expressions. For many perovskites, the opposite contributions of d31 and d33 components can result in anomalous domain wall profiles. This analysis establishes the applicability limits of PFM for polarization dynamics studies in capacitors, and applies to other structural probes, including focused X-ray studies of capacitor structures., Comment: 20 pages, 3 figures, 2 tables, 1 Aappendix, to be submitted to Appl. Phys. Lett

The thermodynamics and kinetics of tip-induced polarization switching in Piezoresponse Force Microscopy in the presence of surface charge defects is studied using the combination of analytical and numerical techniques. The signature of the defects in hysteresis loop fine structure and Switching Spectroscopy PFM images is identified and compared to experimental observations. An approach for the deconvolution of PFM spectroscopy measurements to extract relevant defect parameters is derived. This methodology is universal and can be extended to switching in other ferroics and in reversible electrochemical processes, establishing a pathway for the understanding of the thermodynamics and kinetics of phase transitions at a single defect level., Comment: 55 pages, 14 figures, 1 table, 2 Appendices, to be submitted to Phys. Rev. B high quality figures are available at request

Electromechanical coupling is ubiquitous in biological systems with examples ranging from simple piezoelectricity in calcified and connective tissues to voltage-gated ion channels, energy storage in mitochondria, and electromechanical activity in cardiac myocytes and outer hair cell stereocilia. Piezoresponse force microscopy (PFM) has originally emerged as a technique to study electromechanical phenomena in ferroelectric materials, and in recent years, has been employed to study a broad range of non-ferroelectric polar materials, including piezoelectric biomaterials. At the same time, the technique has been extended from ambient to liquid imaging on model ferroelectric systems. Here, we present results on local electromechanical probing of several model cellular and biomolecular systems, including insulin and lysozyme amyloid fibrils, breast adenocarcinoma cells, and bacteriorhodopsin in a liquid environment. The specific features of SPM operation in liquid are delineated and bottlenecks on the route towards nanometer-resolution electromechanical imaging of biological systems are identified., Comment: 37 pages (including refs), 8 figures

The behavior of ferroelectricity at the nanoscale is the focus of increasing research activity because of intense interest in the fundamental nature of spontaneous order in condensed-matter systems and because of the many practical applications of ferroelectric thin films to, for example, electromechanical transducers, infrared imaging sensors, and nonvolatile random-access memories. Ferroelectricity, in analogy with its namesake ferromagnetism, is the property of some crystalline systems to maintain a permanent, but reversible, electrical polarization in the absence of an external electric field. The imaging and dynamics of the piezoelectric response at the nanoscale is perhaps the most direct means of probing polarization, as has been demonstrated in a number of thin films and nanostructures . Here we report the use of piezoresponse force microscopy (PFM) and switching spectroscopy PFM (SSPFM) to image the ferroelectric properties, domain structure, and polarization switching of ultrathin ferroelectric Langmuir-Blodgett films of poly(vinylidene fluoride-trifluoroethylene) (P(VDF-TrFE)) copolymers. PFM imaging of P(VDF-TrFE) thin films reveals ferroelectric domain sizes on the order of 25-50 nm and an imaging resolution below 5 nm. The feature sizes in topography and PFM images are comparable and the boundaries of uniformly polarized regions coincide with topographic features. Arbitrary polarization patterns could be repeatedly written and erased, with writing resolution limited by the grain size. Hysteresis loops from individual domains show clear coercive voltage, but are not well saturated at +/-10 V amplitude., Comment: 11 pages, 3 figures

Piezoresponse Force Spectroscopy (PFS) has emerged as a powerful technique for probing highly localized switching behavior and the role of microstructure and defects on switching. The application of a dc bias to a scanning probe microscope tip in contact with a ferroelectric surface results in the nucleation and growth of a ferroelectric domain below the tip, resulting in changes in local electromechanical response. Resulting hysteresis loops contains information on local ferroelectric switching behavior. The signal in PFS is the convolution of the volume of the nascent domain and the probing volume of the tip. Here, we analyze the signal formation mechanism in PFS by deriving the main parameters of domain nucleation in a semi-infinite material and establishing the relationships between domain parameters and PFM signal using a linear Greens function theory. The effect of surface screening and finite Debye length on the switching behavior is established. In particular, we predict that the critical nucleus size in PFM is controlled by the surface screening mechanism and in the absence of screening, tip-induced switching is impossible. Future prospects of PFS to study domain nucleation in the vicinity of defects, local switching centers in ferroelectrics, and unusual polarization states in low-dimensional ferroelectrics are discussed., Comment: 74 pages, 18 figures, 3 appendices, sent to Phys. Rev. B

Years to decade-long cyclic orbital period changes have been observed in several classes of close binary systems including Algols, W Ursae Majoris and RS Canum Venaticorum systems, and the cataclysmic variables. The origin of these changes is unknown, but mass loss, apsidal motion, magnetic activity, and the presence of a third body have all been proposed. In this paper we use new CCD observations and the century-long historical record of the times of primary eclipse for WW Cygni to explore the cause of these period changes. WW Cygni is an Algol binary whose orbital period undergoes a 56 year cyclic variation with an amplitude of approximately 0.02 days. We consider and reject the hypotheses of mass transfer, mass loss, apsidal motion and the gravitational influence of an unseen companion as the cause for these changes. A model proposed by Applegate, which invokes changes in the gravitational quadrupole moment of the convective and rotating secondary star, is the most likely explanation of this star's orbital period changes. This finding is based on an examination of WW Cygni's residual O-C curve and an analysis of the period changes seen in 66 other Algols. Variations in the gravitational quadrupole moment are also considered to be the most likely explanation for the cyclic period changes observed in several different types of binary systems., Comment: Accepted to AJ, 23 pages, 7 postscript figures