Quantized Alternate Current on Curved Graphene

Based on the numerical solution of the Quantum Lattice Boltzmann Method in curved space, we predicted the onset of a quantized alternating current on curved graphene sheets. This numerical prediction was verified analytically via a set of semi-classical equations that related the Berry curvature to real space curvature. The proposed quantized oscillating current on curved graphene could form the basis for the implementation of quantum information-processing algorithms.

Fermion with three mass parameters: interaction with external fields

In the article, using the Gelfand–Yaglom general approach, a new 20-component wave equation for spin 1/2 fermion that is characterized by three mass parameters is derived. Based on the 20-component wave function three auxiliary bispinors are determined, in the absence of an external field, these bispinors obey three separate Dirac-like equations with different masses M1 , M2 , M3 . In the presence of external electromagnetic fields, the main equation is not split into the separated equations; instead quite definite mixing of three Dirac-like equations arises. The model is extended to the curved space-time background. If the scalar space curvature differs from zero, then additional terms of geometrical interaction occur between three bispinor components. The model for fermion with three mass parameters allows for the restriction to the case of the neutral Majorana particle.