We introduce the traceable calibration of a cryogenic localization microscope, enabling accurate localization of quantum dots to improve subsequent integration into photonic cavities. We combine the calibration results with an assessment of fabrication accuracy by electron-beam lithography to introduce a comprehensive model of the effects of registration errors in the integration process on Purcell factor. Our theory shows the possibility of significantly improving the magnitude and distribution of Purcell factor across a wide field, enabling dramatic increases of process yield.
Beam placement accuracy is fundamental to advanced lithography and patterning. As applications of focused ion beams in semiconductor manufacturing and adjacent topics become more demanding, our titular question on the unknown whereabouts of a beam becomes more pressing to answer. Such a question may seem frivolous, but in reality, is quite serious and nontrivial to answer. In a previous study, we identified micrometer-scale systematic errors of feature placement by our focused ion beam across an ultrawide patterning field. Such errors are of particular concern for machining standards that provide reference positions, such as aperture arrays for optical microscopy. , Conversely, our recent advances of localization traceability present a new opportunity to not only measure but also improve placement accuracy. In the present study, we quantitate feature positions by critical-dimension localization microscopy with ultrahigh throughput, revealing complex errors that extend to appalling values of several micrometers across a submillimeter field. We introduce a novel correction that reduces scale errors by three orders of magnitude and distortion errors by more than a factor of 40, dramatically improving the placement accuracy of our focused ion beam. Although this improvement occurs in a research laboratory context and for optical microscopy standards, our methods have broad implications for advanced lithography and patterning.
We begin by designing a square array with a lateral extent of 200 µm by 200 µm, a nominal pitch of 2502 nm, and apertures with a nominal diameter of 500 nm. This value of pitch separates aperture centers by an integer number of pixels across our wide patterning field and separates the aperture images beyond the resolution limit for optical microscopy and localization analysis. After fabrication, we trans-illuminate the aperture array, localize each aperture, and register the resulting positions with those of the design through a rigid transformation. This analysis shows total errors with magnitudes exceeding 2 µm, with root-mean-square values of 528.9 nm in the x direction and 1007.7 nm in the y direction (Figure 1a,c-d). A similarity transformation between the experimental and nominal positions distinguishes errors of uniform scale and complex distortion, returning the pitch of the experimental array as 2472.01 nm ± 0.27 nm, which is a scale error of 1.20 %, with additional systematic errors of distortion as large as approximately 1 µm and with root-mean-square values of 399.3 nm in both the x and y directions (Figure 1c-d). We report uncertainties as 68 % coverage intervals.
We modify the array design to negate these errors and improve placement accuracy, uniformly increasing the array pitch to account for the 1.20 % scale error and achieve a nominal pitch of 2500 nm. We model the distortion errors by an interpolant that adjusts the design position of each aperture and enables general correction within the extents of our sampling field. We machine and measure a new array and apply a similar analysis, registering the localization data with the new design. We measure a pitch of 2500.03 nm ± 0.27 nm, corresponding to a scale error of 0.001 %, and distortion errors of up to approximately 40 nm and with root-mean-square values of 9.0 nm in the x direction and 9.4 nm in the y direction (Figure 1b,c-d). In this way, we have found our focused ion beam, which had gone several micrometers astray, and returned it to its proper place to within a few tens of nanometers.
Nanomagnet arrays known as artificial spin ice provide insight into the microscopic details of frustrated magnetism because, unlike natural frustrated magnets, the individual moments can be experimentally resolved and the lattice geometry can be easily tuned. Most studies of artificial spin ice focus on two lattice geometries, the square and the kagome lattices, due to their direct correspondence to natural spin ice materials such as Dy2Ti2O7. In this work, we review experiments on these more unusual lattice geometries and introduce a new type of nanomagnet array, artificial spin glass. Artificial spin glass is a two-dimensional array of nanomagnets with random locations and orientations and is designed to elucidate the more complex frustration found in spin glass materials.
Commensurability effects between the superconducting flux line lattice and a square lattice of submicron holes in 1500 angstrom vanadium films were studied by atomic force microscopy, DC magnetization, AC susceptibility, magnetoresistivity and I-V measurements. Peaks in the magnetization and critical current at matching fields are found to depend nonlinearly upon the value of external AC field or current, as well as the IR symmetry of the flux line lattice.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.