Effects of a tilted magnetic field in a Dirac double layer

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.

arXiv comment9 pages, 4 figures; Expanded section "SEMICLASSICAL DESCRIPTION"; corresponds to the published version

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Cited by in corpus (6)

• Landau Level Quantization and Almost Flat Modes in Three-dimensional Semi-metals with Nodal Ring Spectra
• Resonant tunnelling between the chiral Landau states of twisted graphene lattices
• Landau quantization of nearly degenerate bands, and full symmetry classification of avoided Landau-level crossings
• Highly Tunable Spin-Orbit Torque and Anisotropic Magnetoresistance in a Topological Insulator Thin Film Attached to Ferromagnetic Layer
• Inter-subband Landau level couplings induced by in-plane magnetic fields in trilayer graphene
• Quantum high-frequency conductivity oscillations in graphene multilayers and nodal semimetals in a tilted magnetic field