Filtering and Imaging of Frequency-Degenerate Spin Waves Using Nanopositioning of a Single-Spin Sensor.

Nitrogen-vacancy (NV) magnetometry is a new technique for imaging spin waves in magnetic materials. It detects spin waves by their microwave magnetic stray fields, which decay evanescently on the scale of the spin-wavelength. Here, we use nanoscale control of a single-NV sensor as a wavelength filter to characterize frequency-degenerate spin waves excited by a microstrip in a thin-film magnetic insulator. With the NV probe in contact with the magnet, we observe an incoherent mixture of thermal and microwave-driven spin waves. By retracting the tip, we progressively suppress the small-wavelength modes until a single coherent mode emerges from the mixture. In-contact scans at low drive power surprisingly show occupation of the entire isofrequency contour of the two-dimensional spin-wave dispersion despite our one-dimensional microstrip geometry. Our distance-tunable filter sheds light on the spin-wave band occupation under microwave excitation and opens opportunities for imaging magnon condensates and other coherent spin-wave modes.

Directional Excitation of a High-Density Magnon Gas Using Coherently Driven Spin Waves.

Controlling magnon densities in magnetic materials enables driving spin transport in magnonic devices. We demonstrate the creation of large, out-of-equilibrium magnon densities in a thin-film magnetic insulator via microwave excitation of coherent spin waves and subsequent multimagnon scattering. We image both the coherent spin waves and the resulting incoherent magnon gas using scanning-probe magnetometry based on electron spins in diamond. We find that the gas extends unidirectionally over hundreds of micrometers from the excitation stripline. Surprisingly, the gas density far exceeds that expected for a boson system following a Bose-Einstein distribution with a maximum value of the chemical potential. We characterize the momentum distribution of the gas by measuring the nanoscale spatial decay of the magnetic stray fields. Our results show that driving coherent spin waves leads to a strong out-of-equilibrium occupation of the spin-wave band, opening new possibilities for controlling spin transport and magnetic dynamics in target directions.

Bridging-induced phase separation induced by cohesin SMC protein complexes.

Structural maintenance of chromosome (SMC) protein complexes are able to extrude DNA loops. While loop extrusion constitutes a fundamental building block of chromosomes, other factors may be equally important. Here, we show that yeast cohesin exhibits pronounced clustering on DNA, with all the hallmarks of biomolecular condensation. DNA-cohesin clusters exhibit liquid-like behavior, showing fusion of clusters, rapid fluorescence recovery after photobleaching and exchange of cohesin with the environment. Strikingly, the in vitro clustering is DNA length dependent, as cohesin forms clusters only on DNA exceeding 3 kilo-base pairs. We discuss how bridging-induced phase separation, a previously unobserved type of biological condensation, can explain the DNA-cohesin clustering through DNA-cohesin-DNA bridges. We confirm that, in yeast cells in vivo, a fraction of cohesin associates with chromatin in a manner consistent with bridging-induced phase separation. Biomolecular condensation by SMC proteins constitutes a new basic principle by which SMC complexes direct genome organization.

Publisher Correction: The condensin holocomplex cycles dynamically between open and collapsed states.

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

The condensin holocomplex cycles dynamically between open and collapsed states.

Structural maintenance of chromosome (SMC) protein complexes are the key organizers of the spatiotemporal structure of chromosomes. The condensin SMC complex has recently been shown to be a molecular motor that extrudes large loops of DNA, but the mechanism of this unique motor remains elusive. Using atomic force microscopy, we show that budding yeast condensin exhibits mainly open 'O' shapes and collapsed 'B' shapes, and it cycles dynamically between these two states over time, with ATP binding inducing the O to B transition. Condensin binds DNA via its globular domain and also via the hinge domain. We observe a single condensin complex at the stem of extruded DNA loops, where the neck size of the DNA loop correlates with the width of the condensin complex. The results are indicative of a type of scrunching model in which condensin extrudes DNA by a cyclic switching of its conformation between O and B shapes.

Shielded cantilever with on-chip interferometer circuit for THz scanning probe impedance microscopy.

We have realized a microstrip based terahertz (THz) near field cantilever that enables quantitative measurements of the impedance of the probe tip at THz frequencies (0.3 THz). A key feature is the on-chip balanced hybrid coupler that serves as an interferometer for passive signal cancellation to increase the readout circuit sensitivity despite extreme impedance mismatch at the tip. We observe distinct changes in the reflection coefficient of the tip when brought into contact with different dielectric (Si, SrTiO3) and metallic samples (Au). By comparing finite element simulations, we determine the sensitivity of our THz probe to be well below 0.25 fF. The cantilever further allows for topography imaging in a conventional atomic force microscope mode. Our THz cantilever removes several critical technology challenges and thus enables a shielded cantilever based THz near field microscope.

Visualization of unstained DNA nanostructures with advanced in-focus phase contrast TEM techniques.

Over the last few years, tremendous progress has been made in visualizing biologically important macromolecules using transmission electron microscopy (TEM) and understanding their structure-function relation. Yet, despite the importance of DNA in all forms of life, TEM visualization of individual DNA molecules in its native unlabeled form has remained extremely challenging. Here, we present high-contrast images of unstained single-layer DNA nanostructures that were obtained using advanced in-focus phase contrast TEM techniques. These include sub-Ångstrom low voltage electron microscopy (SALVE), the use of a volta-potential phase plate (VPP), and dark-field (DF) microscopy. We discuss the advantages and drawbacks of these techniques for broad applications in structural biology and materials science.

Condensin Smc2-Smc4 Dimers Are Flexible and Dynamic.

Structural maintenance of chromosomes (SMC) protein complexes, including cohesin and condensin, play key roles in the regulation of higher-order chromosome organization. Even though SMC proteins are thought to mechanistically determine the function of the complexes, their native conformations and dynamics have remained unclear. Here, we probe the topology of Smc2-Smc4 dimers of the S. cerevisiae condensin complex with high-speed atomic force microscopy (AFM) in liquid. We show that the Smc2-Smc4 coiled coils are highly flexible polymers with a persistence length of only ∼ 4 nm. Moreover, we demonstrate that the SMC dimers can adopt various architectures that interconvert dynamically over time, and we find that the SMC head domains engage not only with each other, but also with the hinge domain situated at the other end of the ∼ 45-nm-long coiled coil. Our findings reveal structural properties that provide insights into the molecular mechanics of condensin complexes.

Dynamics of nucleosomal structures measured by high-speed atomic force microscopy.

The accessibility of DNA is determined by the number, position, and stability of nucleosomes, complexes consisting of a core of 8 histone proteins with DNA wrapped around it. Since the structure and dynamics of nucleosomes affects essential cellular processes, they are the subject of many current studies. Here, high-speed atomic force microscopy is used to visualize dynamic processes in nucleosomes and tetrasomes (subnucleosomal structures that contain 4 rather than 8 histones in the protein core). Nucleosomes can spontaneously disassemble in a process (at a 1 second timescale). For tetrasomes, multiple dynamic phenomena are observed. For example, during disassembly the formation of a DNA loop (∼25 nm in length) is seen, which remains stable for several minutes. For intact tetrasomes, dynamics in the form of sliding and reversible hopping between stable positions along the DNA are observed. The data emphasize that tetrasomes are not merely static objects but highly dynamic. Since tetrasomes (in contrast to nucleosomes) can stay on the DNA during transcription, the observed tetrasome dynamics is relevant for an understanding of the nucleosomal dynamics during transcription. These results illustrate the diversity of nucleosome dynamics and demonstrate the ability of high speed AFM to characterize protein-DNA interactions.

Ionic permeability and mechanical properties of DNA origami nanoplates on solid-state nanopores.

While DNA origami is a popular and versatile platform, its structural properties are still poorly understood. In this study we use solid-state nanopores to investigate the ionic permeability and mechanical properties of DNA origami nanoplates. DNA origami nanoplates of various designs are docked onto solid-state nanopores where we subsequently measure their ionic conductance. The ionic permeability is found to be high for all origami nanoplates. We observe the conductance of docked nanoplates, relative to the bare nanopore conductance, to increase as a function of pore diameter, as well as to increase upon lowering the ionic strength. The honeycomb lattice nanoplate is found to have slightly better overall performance over other plate designs. After docking, we often observe spontaneous discrete jumps in the current, a process which can be attributed to mechanical buckling. All nanoplates show a nonlinear current-voltage dependence with a lower conductance at higher applied voltages, which we attribute to a physical bending deformation of the nanoplates under the applied force. At sufficiently high voltage (force), the nanoplates are strongly deformed and can be pulled through the nanopore. These data show that DNA origami nanoplates are typically very permeable to ions and exhibit a number of unexpected mechanical properties, which are interesting in their own right, but also need to be considered in the future design of DNA origami nanostructures.

Sensitivity to molecular order of the electrical conductivity in oligothiophene monolayer films.

Using conducting probe atomic force microscopy (CAFM), we show that electrical conductivity in oligothiophene molecular films deposited on SiO(2)/Si wafers is extremely sensitive to degree of crystalline order in the film. By locally distorting the molecular order in the films through the controlled application of pressure with the AFM tip, the lateral charge transport was reduced by factors varying from 2 to 10, even when no changes in the height of the film could be observed.

High-speed AFM reveals the dynamics of single biomolecules at the nanometer scale.

Atomic force microscopy allows visualization of biomolecules with nanometer resolution under physiological conditions. Recent advances have improved the time resolution of the technique from minutes to tens of milliseconds, meaning that it is now possible to watch single biomolecules in action in real time. Here, we review this development.

Interlaboratory round robin on cantilever calibration for AFM force spectroscopy.

Single-molecule force spectroscopy studies performed by Atomic Force Microscopes (AFMs) strongly rely on accurately determined cantilever spring constants. Hence, to calibrate cantilevers, a reliable calibration protocol is essential. Although the thermal noise method and the direct Sader method are frequently used for cantilever calibration, there is no consensus on the optimal calibration of soft and V-shaped cantilevers, especially those used in force spectroscopy. Therefore, in this study we aimed at establishing a commonly accepted approach to accurately calibrate compliant and V-shaped cantilevers. In a round robin experiment involving eight different laboratories we compared the thermal noise and the Sader method on ten commercial and custom-built AFMs. We found that spring constants of both rectangular and V-shaped cantilevers can accurately be determined with both methods, although the Sader method proved to be superior. Furthermore, we observed that simultaneous application of both methods on an AFM proved an accurate consistency check of the instrument and thus provides optimal and highly reproducible calibration. To illustrate the importance of optimal calibration, we show that for biological force spectroscopy studies, an erroneously calibrated cantilever can significantly affect the derived (bio)physical parameters. Taken together, our findings demonstrated that with the pre-established protocol described reliable spring constants can be obtained for different types of cantilevers.

Highly parallel magnetic tweezers by targeted DNA tethering.

Single-molecule force-spectroscopy methods such as magnetic and optical tweezers have emerged as powerful tools for the detailed study of biomechanical aspects of DNA-enzyme interactions. As typically only a single molecule of DNA is addressed in an individual experiment, these methods suffer from a low data throughput. Here, we report a novel method for targeted, nonrandom immobilization of DNA-tethered magnetic beads in regular arrays through microcontact printing of DNA end-binding labels. We show that the increase in density due to the arrangement of DNA-bead tethers in regular arrays can give rise to a one-order-of-magnitude improvement in data-throughput in magnetic tweezers experiments. We demonstrate the applicability of this technique in tweezers experiments where up to 450 beads are simultaneously tracked in parallel, yielding statistical data on the mechanics of DNA for 357 molecules from a single experimental run. Our technique paves the way for kilo-molecule force spectroscopy experiments, enabling the study of rare events in DNA-protein interactions and the acquisition of large statistical data sets from individual experimental runs.

Electrical transport properties of oligothiophene-based molecular films studied by current sensing atomic force microscopy.

Using conducting probe atomic force microscopy (CAFM) we have investigated the electrical conduction properties of monolayer films of a pentathiophene derivative on a SiO(2)/Si-p+ substrate. By a combination of current-voltage spectroscopy and current imaging we show that lateral charge transport takes place in the plane of the monolayer via hole injection into the highest occupied molecular orbitals of the pentathiophene unit. Our CAFM data suggest that the conductivity is anisotropic relative to the crystalline directions of the molecular lattice.

Quantitative force versus distance measurements in amplitude modulation AFM: a novel force inversion technique.

A new method for extracting quantitative data from amplitude modulation dynamic force-distance measurements is developed. The method is based on the harmonic oscillator model of vibrating atomic force microscope cantilevers, and is capable of extracting both the conservative and dissipative parts of the tip-sample interaction from a measurement of oscillation amplitude and phase as a function of distance. Numerical simulations are used to demonstrate the validity of the method. Further proof of the accuracy of this method is provided by a measurement of electrostatic forces between an AFM tip and a graphite sample.