Anomalous particles

Abstract

In the whole set of solutions of the Dirac equation there is a different class referred to as anomalous. Corresponding anomalous particles are independent of conventional ones. The concept of anomalous particles is applicable to Dirac insulators, where electrons obey the Dirac like wave equation. Positively charged antielectrons, which are not holes, can exist in the Dirac insulator. In this material one can create the electron-antielectron pair keeping the valence band completely filled. The anomalous subsystem, associated with the electron-antielectron vacuum, is an inner property of the Dirac insulator. Anamalous particles in the Dirac insulator can be identified in experiments with electric current.