Klein Tunneling in β₁₂ Borophene.

Area of Science:

• Condensed Matter Physics
• Materials Science
• Quantum Mechanics

Background:

• Klein tunneling, a relativistic quantum phenomenon, has been recently observed in 8-Pmmn borophene.
• Borophene, a 2D allotrope of boron, exhibits unique electronic properties due to its diverse structural phases.
• Understanding Klein tunneling in complex 2D materials like borophene is crucial for future electronic applications.

Purpose of the Study:

• To theoretically investigate Klein tunneling in the β12 borophene structure.
• To establish a theoretical model for analyzing electron transport across potential barriers in β12 borophene.
• To explore the influence of barrier parameters and incidence angles on transmission probabilities.

Main Methods:

• Employed tight-binding approximation theory to construct a theoretical model for β12 borophene.
• Developed a complex Hamiltonian accounting for the five-atom unit cell and multiple bonds in β12 borophene.
• Simulated electron transmission across single and double potential barriers, varying barrier height, width, and separation.

Main Results:

• Demonstrated perfect transmission at the interface for normal incidence, irrespective of barrier height and width.
• Observed perfect transmission at specific angles for non-normal incidence.
• Found that perfect and all-angle transmission occurs when incident energy approaches the Dirac point, analogous to dice lattice behavior.

Conclusions:

• The developed theoretical model effectively captures the complex dynamics of Klein tunneling in β12 borophene.
• Perfect transmission phenomena in β12 borophene are linked to its unique electronic band structure near the Dirac point.
• These findings provide a foundation for exploring advanced electronic functionalities in borophene-based devices.