Author:
Ng R. A.,Wild A.,Portnoi M. E.,Hartmann R. R.
Abstract
AbstractWe show that if the solutions to the (2+1)-dimensional massless Dirac equation for a given one-dimensional (1D) potential are known, then they can be used to obtain the eigenvalues and eigenfunctions for the same potential, orientated at an arbitrary angle, in a 2D Dirac material possessing tilted, anisotropic Dirac cones. This simple set of transformations enables all the exact and quasi-exact solutions associated with 1D quantum wells in graphene to be applied to the confinement problem in tilted Dirac materials such as 8-Pmmn borophene. We also show that smooth electron waveguides in tilted Dirac materials can be used to manipulate the degree of valley polarization of quasiparticles travelling along a particular direction of the channel. We examine the particular case of the hyperbolic secant potential to model realistic top-gated structures for valleytronic applications.
Funder
Science Education Institute, Department of Science and Technology, Republic of the Philippines
Engineering and Physical Sciences Research Council
North Atlantic Treaty Organization
H2020 Marie Skłodowska-Curie Actions
Russian Science Foundation
University Research Coordination Office, De La Salle University
Publisher
Springer Science and Business Media LLC
Cited by
4 articles.
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