Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics

Fuente: arXiv
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Main Authors: Al-Marzoog, Rasha, Rezaei, Ali, Noorinejad, Zahra, Amini, Mohsen, Ghanbari-Adivi, Ebrahim, Jafari, S. A.
Format: Preprint
Published: 2023
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author Al-Marzoog, Rasha
Rezaei, Ali
Noorinejad, Zahra
Amini, Mohsen
Ghanbari-Adivi, Ebrahim
Jafari, S. A.
author_facet Al-Marzoog, Rasha
Rezaei, Ali
Noorinejad, Zahra
Amini, Mohsen
Ghanbari-Adivi, Ebrahim
Jafari, S. A.
contents This study is devoted to the profound implications of tilted Dirac cones on the quantum transport properties of two-dimensional (2D) Dirac materials. These materials, characterized by their linear conic energy dispersions in the vicinity of Dirac points, exhibit unique electronic behaviors, including the emulation of massless Dirac fermions and the manifestation of relativistic phenomena such as Klein tunneling. Expanding beyond the well-studied case of graphene, the manuscript focuses on materials with tilted Dirac cones, where the anisotropic and tilted nature of the cones introduces additional complexity and richness to their electronic properties. The investigation begins by considering a heterojunction of 2D Dirac materials, where electrons undergo quantum tunneling between regions with upright and tilted Dirac cones. The role of tilt in characterizing the transmission of electrons across these interfaces is thoroughly examined, shedding light on the influence of the tilt parameter on the transmission probability and the fate of the pseudospin of the Dirac electrons, particularly upon a sudden change in the tilting. We also investigate the probability of reflection and transmission from an intermediate slab with arbitrary subcritical tilt, focusing on the behavior of electron transmission across regions with varying Dirac cone tilts. The study demonstrates that for certain thicknesses of the middle slab, the transmission probability is equal to unity, and both reflection and transmission exhibit periodic behavior with respect to the slab thickness.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11262
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
Al-Marzoog, Rasha
Rezaei, Ali
Noorinejad, Zahra
Amini, Mohsen
Ghanbari-Adivi, Ebrahim
Jafari, S. A.
Mesoscale and Nanoscale Physics
This study is devoted to the profound implications of tilted Dirac cones on the quantum transport properties of two-dimensional (2D) Dirac materials. These materials, characterized by their linear conic energy dispersions in the vicinity of Dirac points, exhibit unique electronic behaviors, including the emulation of massless Dirac fermions and the manifestation of relativistic phenomena such as Klein tunneling. Expanding beyond the well-studied case of graphene, the manuscript focuses on materials with tilted Dirac cones, where the anisotropic and tilted nature of the cones introduces additional complexity and richness to their electronic properties. The investigation begins by considering a heterojunction of 2D Dirac materials, where electrons undergo quantum tunneling between regions with upright and tilted Dirac cones. The role of tilt in characterizing the transmission of electrons across these interfaces is thoroughly examined, shedding light on the influence of the tilt parameter on the transmission probability and the fate of the pseudospin of the Dirac electrons, particularly upon a sudden change in the tilting. We also investigate the probability of reflection and transmission from an intermediate slab with arbitrary subcritical tilt, focusing on the behavior of electron transmission across regions with varying Dirac cone tilts. The study demonstrates that for certain thicknesses of the middle slab, the transmission probability is equal to unity, and both reflection and transmission exhibit periodic behavior with respect to the slab thickness.
title Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2312.11262