Quasi-exact solutions for guided modes in two-dimensional materials with tilted Dirac cones.

Ng, R A; Wild, A; Portnoi, M E; Hartmann, R R

Ng, R A; Wild, A; Portnoi, M E; Hartmann, R R.

Afiliación

Ng RA; Physics Department, De La Salle University, 2401 Taft Avenue, 0922, Manila, Philippines.
Wild A; Physics and Astronomy, University of Exeter, Stocker Road, Exeter, EX4 4QL, UK.
Portnoi ME; Physics and Astronomy, University of Exeter, Stocker Road, Exeter, EX4 4QL, UK.
Hartmann RR; ITMO University, St. Petersburg, Russia, 197101.

Sci Rep ; 12(1): 7688, 2022 May 10.

Article en En | MEDLINE | ID: mdl-35538110

RESUMEN

We 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.

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Sci Rep Año: 2022 Tipo del documento: Article País de afiliación: Filipinas Pais de publicación: Reino Unido

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