Anderson localizaion for semi-Dirac semi-Weyl semi-metal

TL;DR

This paper investigates the magnetic properties induced by impurities in semi-Dirac materials, revealing unique features due to their hybrid linear-quadratic band structure and comparing them with graphene and metals.

Contribution

It provides a detailed analysis of magnetic impurity effects in semi-Dirac systems, highlighting unique behaviors arising from their distinctive band dispersion.

Findings

Magnetic phase transition depends on impurity energy and hybridization strength.

Semi-Dirac systems exhibit both similarities and differences with graphene and metals in impurity responses.

Unique features in magnetic behavior are identified due to the hybrid dispersion.

Abstract

The semi-Dirac semi-Weyl semi-metal has been of interest in recent years due to its naturally occurring point Fermi surface and the associated exotic band-structure near the Fermi surface, which is linear (graphene-like) in one direction of the Brillouin zone, but quadratic in a direction perpendicular to it. In this paper the effect of a magnetic adatom impurity in a semi-Dirac system is studied. As in a metal, the magnetic impurity in a semi-Dirac system interacts with the sea of conduction electrons and gives rise to magnetism. The transition of the semi-Dirac system from the non-magnetic to the magnetic phase is studied as a function of the impurity energy, the strength of hybridization between the impurity and the bath as well as that of the electron electron interaction at the impurity atom. The results are compared and contrasted with those of graphene and ordinary metal. Since the semi-Dirac and the Dirac dispersion share similar features,e.g, both are particle hole symmetric and linear in one direction, the two systems share resemblances in their characteristics in the presence of a magnetic impurity. But some features are unique to the semi-Dirac dispersion.