Abstract

This paper presents research on the quantum oscillation of pseudomagnetoresistance (PMR) in tilted Dirac cone material junctions. Dirac cones are linear energy dispersions that arise in materials like graphene, which is a two-dimensional material with unique electronic properties. The presence of a tilted Dirac cone in the energy spectrum of these materials introduces interesting phenomena such as pseudomagnetism and anisotropic quantum transport. By applying strain, we can control the direction of the tilted Dirac cone in graphene and investigate the pseudomagnetotransport properties of this system. Magnetoresistance is a real effect that arises from the Lorentz force acting on the charge carriers, while PMR is a geometric effect that arises from the tilted Dirac cone and the crystal lattice structure of the material. Using computational methods for finite-superlattice materials and the transfer-matrix method, our results show that the quantum beating pattern of PMR is more pronounced with an increased number of barriers. Additionally, we observe that the amplitude and period of the modulation depend on the strength and orientation of the tilted-induced pseudomagnetic field. We demonstrate that the PMR behavior can be tuned and optimized for specific applications, potentially leading to improvements in the design and optimization of graphene-based devices such as sensors, transistors, and quantum computers, which rely on the PMR behavior of graphene.

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