Signatures of the Berry curvature in the frequency dependent interlayer magnetoresistance in tilted magnetic fields

Wright, Anthony R.; McKenzie, Ross H.

doi:10.1088/0953-8984/26/8/085801

Cited by 2 publications

(1 citation statement)

References 46 publications

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“…Recently, the effect of the Berry curvature, which may be present in gapped Dirac materials, on quantum oscillations and AMRO was studied in Refs. [34,35].…”

Section: Introductionmentioning

confidence: 99%

Effects of a tilted magnetic field in a Dirac double layer

et al. 2015

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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.

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“…Recently, the effect of the Berry curvature, which may be present in gapped Dirac materials, on quantum oscillations and AMRO was studied in Refs. [34,35].…”

Section: Introductionmentioning

confidence: 99%

Effects of a tilted magnetic field in a Dirac double layer

et al. 2015

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Angular magnetoresistance oscillations in the tunneling conductance of a metallic heterojunction

Smith

Khudwilat

2017

Journal of Applied Physics

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The interlayer magnetoresistance of a metallic sandwich junction, i.e., a junction of the form MM′M, where M is an atomic layer of one metal and M′ an atomic layer of a different metal, is calculated semiclassically. According to the picture developed below, an electron follows a semiclassical cyclotron orbit on one M layer and, upon reaching an intersection between M and M′ Fermi surfaces, can tunnel to the other M layer via M′. It tunnels back to the original M layer at a different Fermi surface intersection, having accumulated a magnetic field-dependent phase factor. The resulting angle-dependent magnetoresistance oscillations exhibit discrete frequencies, associated with pairs of intersections of the M and M′ Fermi surfaces. These oscillations persist down to relatively weak magnetic fields because they are less susceptible to destructive interference than the continuum of frequencies seen for bilayer MM junctions. The MM′M trilayer exhibits large magnetoresistance with fields perpendicular to the junction because an increase in cyclotron frequency reduces the tunneling probability at Fermi surface intersections. The distinctive magnetoresistance of the trilayer junction could be exploited to study the electronic structure of metallic interfaces.

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Signatures of the Berry curvature in the frequency dependent interlayer magnetoresistance in tilted magnetic fields

Cited by 2 publications

References 46 publications

Effects of a tilted magnetic field in a Dirac double layer

Effects of a tilted magnetic field in a Dirac double layer

Angular magnetoresistance oscillations in the tunneling conductance of a metallic heterojunction

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