Abstract

In this work we study the effects of in-plane magnetic fields on thin films of the Dirac Semimetal (DSM) Na3Bi where one of the in-plane directions is perpendicular to the k-separation between the two Weyl nodes that exist for each spin orientation. We show numerically that the states localized near the surfaces of these thin films are related to the Fermi arc states in semi-infinite slabs. Due to the anisotropy between the two in-plane directions, the application of a magnetic field along these directions have differing effects. A field parallel to the k space separation between the Weyl nodes leads to a broadening of the surface state band and the formation of an energy plateau, while a perpendicular field shifts the energy where the hole and particle bands meet upwards, and sharpens the tips of the bands. We illustrate the effects of these changes to the dispersion relation by studying the transmission from a source segment without a magnetic field to a drain segment with a field, with the field and interface at various in-plane directions.

Highlights

  • The Dirac Semimetal (DSM) [1,2,3,4] is a recently discovered topologically non-trivial state which has attracted much attention

  • Unlike in conventional topological insulators (TI) where there is a odd number of Dirac points, the Weyl nodes in DSMs occur in pairs with one member of each pair acting as a Berry curvature source and the other member acting as a Berry curvature sink

  • In this work we studied the effects of in-plane magnetic fields on a Na3Bi DSM thin film

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Summary

INTRODUCTION

The Dirac Semimetal (DSM) [1,2,3,4] is a recently discovered topologically non-trivial state which has attracted much attention. Unlike in conventional TIs where there is a odd number of Dirac points, the Weyl nodes in DSMs occur in pairs with one member of each pair acting as a Berry curvature source and the other member acting as a Berry curvature sink. These pairs of Weyl nodes in DSMs give rise to surface states in the form of Fermi arcs linking the two points in k-space when the bulk DSM is truncated perpendicular to the direction of the k-space separation between the Weyl nodes. We showcase one consequence of the magnetic fields by considering the transmission from a source DSM thin film segment without a magnetic field, to a drain DSM segment with a magnetic field for various directions of magnetic fields and source-drain interfaces

BULK EIGENSTATES
SEMI-INFINITE SLABS
THIN FILMS
EFFECTS OF AN IN-PLANE MAGNETIC FIELD
TRANSMISSION
CONCLUSION
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