Resultados de investigación

The supplemental material is organized as follows. In Section S1, we provide the details of the derivations of the parameter Γ, describing the magnetoelectric effect, for magnetic impurities in Rashba superconductors and superconducting Dirac systems. We consider two cases: in one case, the size of the magnetic impurity is comparable with the coherence length and hence the induced exchange field can be treated as homogeneous; in the other case, the magnetic impurity is point-like and the induced exchange field has a form of a delta-function. In Section S2, we provide the details of the derivation of the superconductivity-induced magnetic interaction. In Section S3, we show that in the limiting case where the current-induced magnetic field can be neglected, we reproduce the previous result of Ref. [15] (in the main text) in the absence of a magnetic field. Finally, in Section S4, we present a microscppic analysis of the surface of iron-based superconductor with a Dirac band., Supplementary material includes the derivations of Γ parameters in different systems, the derivations of the superconductivity-induced magnetic interaction, a comparison with the previous work, and a microscopic analysis of Fe(Se,Te)., Peer reviewed

Theory and Simulation S1. Molecular Optomechanical Theory S1.1 Approximations in the Description of Molecular Optomechanical Interactions S1.2 Expressions for the SERS Spectra S1.3 Expressions for the Vibrational Population and Correlation S2. DFT Calculations of Raman-active Molecular Vibrational Modes S3. Plasmonic Response of the NPoM Nanocavity S3.1 Dyadic Green’s Function of Metal-Insulator-Metal Structure S4. Optomechanical Parameters: Vibrational Frequency Shift, Damping, Pumping, and Coupling Parameters S5. Simulations of the Experimental Results S5.1 Collective Vibrational Modes in SERS Spectrum S5.2 Evolution of the SERS signal with Increasing Laser Intensity S5.3 Dependence of the SERS signal on Molecular Positions S5.4 Dependence of the SERS signal on the Number of Molecules S6. Comparison of Continuum-field Model with Single-mode Model S7. Effective Description of Raman Lineshift and Analytic Estimates S8. Raman Redshift Contributions from Local Dipoles and NPoM Modes S9. Raman Redshift from Vibrational Anharmonicity, Supplementary Experimental Data S10. NPoM In-coupling Correction S11. Raw Data of Individual NPoMs S12. Reversibility of Saturation and Damage S13. Vibrational Pumping and Non-equilibrium Temperatures S14. SERS Saturation of Other Molecules S15. Additional Picocavity Data References, Peer reviewed

This repository contains research data for all figures of the manuscript. This includes optomechanical simulations of plasmonic nanocavities and experimental SERS spectra from both NPoM nanocavities and SPARK picocavities. All data are provided in .txt files, space separated, with columns labelled in first row. The data are organized in folders for each figure, with individual files for each figure panel containing data. All further information is contained in the captions of the manuscript., Engineering and Physical Sciences Research Council (2275079) EPSRC (2275079) Engineering and Physical Sciences Research Council (EP/N016920/1) Engineering and Physical Sciences Research Council (EP/L027151/1) Engineering and Physical Sciences Research Council (EP/L015978/1) European Commission Horizon 2020 (H2020) Future and Emerging Technologies (FET) (829067) European Commission Horizon 2020 (H2020) Research Infrastructures (RI) (861950) European Commission Horizon 2020 (H2020) ERC (883703), Peer reviewed

Supplementary SEM and AFM images, XPS characterization, Faradaic efficiency, two-electrode test, EIS, SEC data, and TXRF (PDF). Video showing the visual increase in the electrode area (MP4)., Peer reviewed

Computational Details Supplementary Figures Supplementary Tables References, Peer reviewed

We study theoretically electron interference in a Mach–Zehnder-like geometry formed by four zigzag graphene nanoribbons (ZGNRs) arranged in parallel pairs, one on top of the other, such that they form intersection angles of 60˚ Depending on the interribbon separation, each intersection can be tuned to act either as an electron beam splitter or as a mirror, enabling tuneable circuitry with interfering pathways. Based on the mean-field Hubbard model and Green's function techniques, we evaluate the electron transport properties of such 8-terminal devices and identify pairs of terminals that are subject to self-interference. We further show that the scattering matrix formalism in the approximation of independent scattering at the four individual junctions provides accurate results as compared with the Green's function description, allowing for a simple interpretation of the interference process between two dominant pathways. This enables us to characterize the device sensitivity to phase shifts from an external magnetic flux according to the Aharonov–Bohm effect as well as from small geometric variations in the two path lengths. The proposed devices could find applications as magnetic field sensors and as detectors of phase shifts induced by local scatterers on the different segments, such as adsorbates, impurities or defects. The setup could also be used to create and study quantum entanglement., We acknowledge funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 863098 (FET-Open project "SPRING"), Peer reviewed

S1. Longitudinal magnetoresistance measurements. S2. Current-dependent measurements. S3. Electrical excitation of magnons. S4. Thermal excitation of magnons. S5. Magnetic characterization., Peer reviewed

1. Materials and Techniques: 1.1. Materials - 1.2. Techniques 2. Synthetic Procedures: 2.1. Metamorphosis of commercial PVC to PVC-single-chain nanoparticles (PVC-SCNPs) with common organic solvents and non-solvents - 2.2. Screening of “green” solvents for the metamorphosis of “waste PVC” to valorized PVC single-chain nanoparticles (vPVC-SCNPs) - 2.3. Metamorphosis of “PVC waste” to vPVC-SCNPs in NBP as “green” solvent and EtOH / H2O (1 / 1 vol.) as non-solvent: 2.3.1. Flexible PVC - 2.3.2. Rigid PVC - 2.4. Preparation of vPVC-SCNPs/Cu(II) as efficient catalytic SCNPs 3. Additional Data: 3.1.Supplementary Tables - 3.2.Supplementary Figures 4. Supplementary References, Peer reviewed

Experimental procedures, estimation of domain size, and additional supporting figures regarding DSC, viscosity, and diffraction results., Peer reviewed

Additional details on convergence tests, electronic structure of the isolated molecules and pristine crystals at the mean-field level, geometry optimization and charge population analysis, and results obtained from the PBE0 hybrid functional., Peer reviewed