We introduce an end-to-end deep learning architecture called the wide-band butterfly network (WideBNet) for approximating inverse scattering map from data. This incorporates tools computational harmonic analysis, such as factorization, and traditional multi-scale methods, Cooley–Tukey FFT algorithm, to drastically reduce number of trainable parameters match inherent complexity problem. As a res...

We use first-principles simulation and virtual crystal approximation to reveal the unique double band inversion topological phase transition in Ge1-xSnx alloys. Wavefunction parity, spatial charge distribution surface state spectrum analyses suggest that is relayed by its first valence band. As system evolves from Ge {\alpha}-Sn, conduction moves down, inverts with second bands consecutively. T...

We interpret and model the statistical weak lensing measurements around 130,000 groups and clusters of galaxies in the Sloan Digital Sky Survey presented by Sheldon et al. (2007). We present non-parametric inversions of the 2D shear profiles to the mean 3D cluster density and mass profiles in bins of both optical richness and cluster i-band luminosity. Since the mean cluster density profile is ...

The rare-earth monopnictide LaBi exhibits exotic magneto-transport properties, including an extremely large and anisotropic magnetoresistance. Experimental evidence for topological surface states is still missing although band inversions have been postulated to induce a topological phase in LaBi. In this work, we have revealed the existence of surface states of LaBi through the observation of t...

The band structure of strained Si ~4–10 ML! on ~001! GaAs, band lineups of the strained Si/~001!GaAs heterojunction, and confined energy levels of the Si3N4 /Si/GaAs quantum well have been calculated via a pseudopotential method. It has been found that in this technically important Si3N4 /Si/~001!GaAs structure, strained Si has a very narrow band gap ~0.34 eV! at the D' point in the Brillouin z...

Several methods for solving efficiently the one-dimensional deconvolution problem are proposed. The problem is to solve the Volterra equation ku := ∫ t 0 k(t − s)u(s)ds = g(t), 0 ≤ t ≤ T . The data, g(t), are noisy. Of special practical interest is the case when the data are noisy and known at a discrete set of times. A general approach to the deconvolution problem is proposed: represent k = A(...

Spin Hall effects are a collection of phenomena, resulting from spin-orbit coupling, in which an electrical current flowing through a sample can lead to spin transport in a perpendicular direction and spin accumulation at lateral boundaries. These effects, which do not require an applied magnetic field, can originate in a variety of intrinsic and extrinsic spin-orbit coupling mechanisms and dep...