Two-dimensional (2D) materials are well-known to exhibit interesting phenomena due to quantum confinement. Here, we show that quantum confinement, together with structural anisotropy, result in an electric-field-tunable Dirac cone in 2D black phosphorus. Using density functional theory calculations, we find that an electric field, E ext, applied normal to a 2D black phosphorus thin film, can re...

radiology and imaging data of patient is the main and the most important data of the patient. not only it shows disease of patient, but also it is included of the body geometry such as 2d and 3d. gathering and saving of radiology images and data for different patients can be useful for future statistic studies. many questions like, how to, why, in which and etc can be answered by statistic meth...

The spectral flow of the hermitian Dirac–Wilson operator H(m) has been used to construct a lattice version of the index of the Dirac operator. We clarify some aspects of this construction by showing the following (in 4D): When the curvature of the lattice gauge field satisfies an approximate smoothness condition, crossings of the origin by eigenvalues of H(m) can only happen when m is close to ...

In 1951, Gabriel Dirac conjectured that every set P of n non-collinear points in the plane contains a point in at least n 2 − c lines determined by P , for some constant c. The following weakening was proved by Beck and Szemerédi–Trotter: every set P of n non-collinear points contains a point in at least n c lines determined by P , for some large unspecified constant c. We prove that every set ...

We recently performed a pilot study determining the parameters of the leading order chiral La-grangian from distributions of the eigenvalues of a quenched Dirac operator coupled to an imaginary isospin chemical potential. We complement a quick survey of our recent preprint [1] by addressing some points raised during discussions at the conference.

Using a structural search method in combination with first-principles calculations, we found lots of low energy 2D carbon allotropes and examined all possible Dirac points around their Fermi levels. Three amazing 2D Dirac carbon allotropes have been discovered, named as S-graphene, D-graphene and E-graphene. By analyzing the topology correlations among S-, T, net W graphene and graphene, we fou...

In this paper, we study the inverse problem for Dirac differential operators with  discontinuity conditions in a compact interval. It is shown that the potential functions can be uniquely determined by the value of the potential on some interval and parts of two sets of eigenvalues. Also, it is shown that the potential function can be uniquely determined by a part of a set of values of eigenfun...

The article deals with the history of diagnostics in dermatovenerology on Medical Faculty in Prague from 1875 to 1910. Medical Reports of General Hospital in Prague from those years were used as the source of data. Three dermatologic and venereal diagnoses from years 1875, 1881, 1885, 1890, 1895, 1899, 1906 and 1910 were used for a statistic comparison. The article also contains short descripti...

The tunability of topological surface states and controllable opening of the Dirac gap are of fundamental and practical interest in the field of topological materials. In the newly discovered topological crystalline insulators (TCIs), theory predicts that the Dirac node is protected by a crystalline symmetry and that the surface state electrons can acquire a mass if this symmetry is broken. Rec...