Effects of a tilted magnetic field in a Dirac double layer

TL;DR

This paper studies how a tilted magnetic field affects the energy spectrum and conductance in Dirac double layers, revealing oscillatory behaviors linked to Berry phase and angular magnetoresistance oscillations.

Contribution

It introduces a detailed analysis of energy spectrum oscillations and conductance variations in Dirac double layers under tilted magnetic fields, highlighting the role of Berry phase.

Findings

Energy splitting oscillates with in-plane magnetic field.

Special tilt angles cause energy level degeneracies.

Interlayer conductance shows angular magnetoresistance oscillations.

Abstract

We calculate the energy spectrum of a Dirac double layer, where each layer has the Dirac electronic dispersion, in the presence of a tilted magnetic field and small interlayer tunneling. We show that the energy splitting between the Landau levels has an oscillatory dependence on the in-plane magnetic field and vanishes at a series of special tilt angles of the magnetic field. Using a semiclassical analysis, we show that these special tilt angles are determined by the Berry phase of the Dirac Hamiltonian. The interlayer tunneling conductance also exhibits an oscillatory dependence on the magnetic field tilt angle, known as the angular magnetoresistance oscillations (AMRO). Our results are applicable to graphene double layers and thin films of topological insulators.