Endomorphisms of quantized Weyl algebras

Belov-Kanel and Kontsevich conjectured that the group of automorphisms of the n'th Weyl algebra and the group of polynomial symplectomorphisms of C^2 are canonically isomorphic. We discuss how this conjecture can be approached by means of (second) quantized Weyl algebras at roots of unity

Single-crystalline PbTe film growth through reorientation

Heteroepitaxy enables the engineering of novel properties, which do not exist in a single material. Two principle growth modes are identified for material combinations with large lattice mismatch, Volmer-Weber and Stranski-Krastanov. Both lead to the formation of three-dimensional islands, hampering the growth of flat defect-free thin films. This limits the number of viable material combinations. Here, we report a distinct growth mode found in molecular beam epitaxy of PbTe on InP initiated by pre-growth surface treatments. Early nucleation forms islands analogous to the Volmer-Weber growth mode, but film closure exhibits a flat surface with atomic terracing. Remarkably, despite multiple distinct crystal orientations found in the initial islands, the final film is single-crystalline. This is possible due to a reorientation process occurring during island coalescence, facilitating high quality heteroepitaxy despite the large lattice mismatch, difference in crystal structures and diverging thermal expansion coefficients of PbTe and InP. This growth mode offers a new strategy for the heteroepitaxy of dissimilar materials and expands the realm of possible material combinations

Correspondence between structure and function in the human brain at rest

To further understanding of basic and complex cognitive functions, previous connectome research has identified functional and structural connections of the human brain. Functional connectivity is often measured by using resting-state functional magnetic resonance imaging (rs-fMRI) and is generally interpreted as an indirect measure of neuronal activity. Gray matter (GM) primarily consists of neuronal and glia cell bodies; therefore, it is surprising that the majority of connectome research has excluded GM measures. Therefore, we propose that by exploring where GM corresponds to function would aid in the understanding of both structural and functional connectivity and in turn the human connectome. A cohort of 603 healthy participants underwent structural and functional scanning on the same 3 T scanner at the Mind Research Network. To investigate the spatial correspondence between structure and function, spatial independent component analysis (ICA) was applied separately to both GM density (GMD) maps and to rs-fMRI data. ICA of GM delineates structural components based on the covariation of GMD regions among subjects. For the rs-fMRI data, ICA identified spatial patterns with common temporal features. These decomposed structural and functional components were then compared by spatial correlation. Basal ganglia components exhibited the highest structural to resting-state functional spatial correlation (r = 0.59). Cortical components generally show correspondence between a single structural component and several resting-state functional components. We also studied relationships between the weights of different structural components and identified the precuneus as a hub in GMD structural network correlations. In addition, we analyzed relationships between component weights, age, and gender; concluding that age has a significant effect on structural components

On-chip automation of cell-free protein synthesis: new opportunities due to a novel reaction mode

Many pharmaceuticals are proteins or their development is based on proteins. Cell-free protein synthesis (CFPS) is an innovative alternative to conventional cell based systems which enables the production of proteins with complex and even new characteristics. However, the short lifetime, low protein production and expensive reagent costs are still limitations of CFPS. Novel automated microfluidic systems might allow continuous, controllable and resource conserving CFPS. The presented microfluidic TRITT platform (TRITT for Transcription - RNA Immobilization & Transfer - Translation) addresses the individual biochemical requirements of the transcription and the translation step of CFPS in separate compartments, and combines the reaction steps by quasi-continuous transfer of RNA templates to enable automated CFPS. In detail, specific RNA templates with 5' and 3' hairpin structures for stabilization against nucleases were immobilized during in vitro transcription by newly designed and optimized hybridization oligonucleotides coupled to magnetizable particles. Transcription compatibility and reusability for immobilization of these functionalized particles was successfully proven. mRNA transfer was realized on-chip by magnetic actuated particle transfer, RNA elution and fluid flow to the in vitro translation compartment. The applicability of the microfluidic TRITT platform for the production of the cytotoxic protein Pierisin with simultaneous incorporation of a non-canonical amino acid for fluorescence labeling was demonstrated. The new reaction mode (TRITT mode) is a modified linked mode that fulfills the precondition for an automated modular reactor system. By continual transfer of new mRNA, the novel procedure overcomes problems caused by nuclease digestion and hydrolysis of mRNA during TL in standard CFPS reactions.BMBF, 0312039, Nachwuchsgruppe- Biotechnologie 2020+: Chip-basierter Automat für die zellfreie ProteinsyntheseBMBF, 0315942, Zellfreie Bioproduktion - Etablierung einer Bioproduktionsanlage für die zellfreie Proteinsynthese mit integrierter Energieversorgung - Biomoleküle vom Ban

Allylic Carbocyclic Inhibitors Covalently Bind Glycoside Hydrolases

Allylic cyclitols were investigated as covalent inhibitors of glycoside hydrolases by chemical, enzymatic, proteomic, and computational methods. This approach was inspired by the C$_{7}$ cyclitol natural product streptol glucoside, which features a potential carbohydrate leaving group in the 4-position (carbohydrate numbering). To test this hypothesis, carbocyclic inhibitors with leaving groups in the 4- and 6- positions were prepared. The results of enzyme kinetics analyses demonstrated that dinitrophenyl ethers covalently inhibit α-glucosidases of the GH13 family without reactivation. The labeled enzyme was studied by proteomics, and the active site residue Asp214 was identified as modified. Additionally, computational studies, including enzyme homology modeling and density functional theory (DFT) calculations, further delineate the electronic and structural requirements for activity. This study demonstrates that previously unexplored 4- and 6-positions can be exploited for successful inhibitor design

Diffusive and Ballistic Transport in Ultra-thin InSb Nanowire Devices Using a Few-layer-Graphene-AlOx Gate

Quantum devices based on InSb nanowires (NWs) are a prime candidate system for realizing and exploring topologically-protected quantum states and for electrically-controlled spin-based qubits. The influence of disorder on achieving reliable topological regimes has been studied theoretically, highlighting the importance of optimizing both growth and nanofabrication. In this work we investigate both aspects. We developed InSb nanowires with ultra-thin diameters, as well as a new gating approach, involving few-layer graphene (FLG) and Atomic Layer Deposition (ALD)-grown AlOx. Low-temperature electronic transport measurements of these devices reveal conductance plateaus and Fabry-P\'erot interference, evidencing phase-coherent transport in the regime of few quantum modes. The approaches developed in this work could help mitigate the role of material and fabrication-induced disorder in semiconductor-based quantum devices.Comment: 14 pages, 5 figure

Electronic Structure and Epitaxy of CdTe Shells on InSb Nanowires

Indium antimonide (InSb) nanowires are used as building blocks for quantum devices because of their unique properties, i.e., strong spin-orbit interaction and large Land\'e g-factor. Integrating InSb nanowires with other materials could potentially unfold novel devices with distinctive functionality. A prominent example is the combination of InSb nanowires with superconductors for the emerging topological particles research. Here, we combine the II-VI cadmium telluride (CdTe) with the III-V InSb in the form of core-shell (InSb-CdTe) nanowires and explore potential applications based on the electronic structure of the InSb-CdTe interface and the epitaxy of CdTe on the InSb nanowires. We determine the electronic structure of the InSb-CdTe interface using density functional theory and extract a type-I band alignment with a small conduction band offset ($\leq$ 0.3 eV). These results indicate the potential application of these shells for surface passivation or as tunnel barriers in combination with superconductors. In terms of the structural quality of these shells, we demonstrate that the lattice-matched CdTe can be grown epitaxially on the InSb nanowires without interfacial strain or defects. These epitaxial shells do not introduce disorder to the InSb nanowires as indicated by the comparable field-effect mobility we measure for both uncapped and CdTe-capped nanowires

Selective Area Growth of PbTe Nanowire Networks on InP

Hybrid semiconductor–superconductor nanowires are promising candidates as quantum information processing devices. The need for scalability and complex designs calls for the development of selective area growth techniques. Here, the growth of large scale lead telluride (PbTe) networks is introduced by molecular beam epitaxy. The group IV-VI lead-salt semiconductor is an attractive material choice due to its large dielectric constant, strong spin-orbit coupling, and high carrier mobility. A crystal re-orientation process during the initial growth stages leads to single crystalline nanowire networks despite a large lattice mismatch, different crystal structure, and diverging thermal expansion coefficient to the indium phosphide (InP) substrate. The high quality of the resulting material is confirmed by Hall bar measurements, indicating mobilities up to 5600 cm2 (Vs)−1, and Aharonov–Bohm experiments, indicating a low-temperature phase coherence length exceeding 21 µm. Together, these properties show the high potential of the system as a basis for topological networks.</p