The phenomena of the minimum transmittance spectrum or the maximum reflection spectrum located around the Dirac frequency have been observed to demonstrate the 1/L scaling law near the Dirac-like point through the finite ribbon structure. However, so far there is no effective way to identify the Dirac-like point accurately. In this work we provide an effective measurement method to identify the...

In the present article we have found the complete energy spectrum and the corresponding eigenfunctions of the Dirac oscillator in two spatial dimensions. We show that the energy spectrum depends on the spin of the Dirac particle. Typeset using REVTEX 1 Recently, Moshinsky and Szczepaniak [1] have proposed a new type of interaction in the Dirac equation which, besides the momentum, is also linea...

We develop a thermodynamic formalism for a strongly dissipative Hénon-like map at the first bifurcation parameter at which the uniform hyperbolicity is destroyed by the formation of tangencies inside the limit set. For any t ∈ R we prove the existence of an invariant Borel probability measure which minimizes the free energy associated with a non continuous geometric potential −t log J, where J ...

Understanding the structure of the wavefunction is essential for depicting the surface states of a topological insulator. Owing to the inherent strong spin–orbit coupling, the conventional hand-waving picture of the Dirac surface state with a single chiral spin texture is incomplete, as this ignores the orbital components of the Dirac wavefunction and their coupling to the spin textures. Here, ...

Materials harbouring exotic quasiparticles, such as massless Dirac and Weyl fermions, have garnered much attention from physics and material science communities due to their exceptional physical properties such as ultra-high mobility and extremely large magnetoresistances. Here, we show that the highly stable, non-toxic and earth-abundant material, ZrSiS, has an electronic band structure that h...

In this paper, we prove a sample-path comparison principle for the nonlinear stochastic fractional heat equation on R with measure-valued initial data. We give quantitative estimates about how close to zero the solution can be. These results extend Mueller’s comparison principle on the stochastic heat equation to allow more general initial data such as the (Dirac) delta measure and measures wit...

This report summarises the recent studies of the Bose-Einstein Correlations (BEC) carried out by the four LEP experiments using hadronic Z 0 decay events and e + e − reactions leading to the WW decay final states. The three identical charged pion systems π ± π ± π ± have been studied by OPAL with 4 × 10 6 hadronic Z 0 decays events. The genuine three-pion correlations corrected for Coulomb effe...

Following Schwartz [2 ] we denote by £>, 8 and S the complex vector spaces of all complex-valued infinitely differentiable functions on R where the functions of 2D have compact supports, the functions of 8 have arbitrary supports, and the functions of S (along with all their derivatives) are rapidly decreasing at infinity. We equip each of these spaces with its usual locally convex topology...

In this article we develop a posteriori error estimates for general second order elliptic problems with point sources in twoand three-dimensional domains. We prove a global upper bound and a local lower bound for the error measured in a weighted Sobolev space. The weight considered is a (positive) power of the distance to the support of the Dirac delta source term, and belongs to the Muckenhoup...

Chern number is usually characterized by Berry curvature. Here, investigating the Dirac model of even-dimensional insulator, we give general relation between curvature and quantum metric, which indicates that can be encoded in metric as well surface area Brillouin zone on hypersphere embedded Euclidean parameter space. We find there a corresponding relationship such hypersphere. geometrical pro...