Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles

L. Mandhour; F. Bouhadida

doi:10.1016/j.physe.2025.116424

paper

Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles

arXiv:2004.10144 · doi:10.1016/j.physe.2025.116424

Abstract

We show that under compressive uniaxial deformation of the three-band $α - T_{3}$ lattice, the Dirac cones move toward each other, merge, and a gap opens, while the flat band remains unchanged. Consequently, the low-energy spectrum transitions from linear to quadratic dispersion, indicating the shift from massless to massive Dirac particles. Here, we theoretically investigate the tunneling properties of particles through a sharp $n p$ junction in a deformed $α - T_{3}$ lattice, focusing on the case where the particle energy is half the junction height. We show that this transition from massless to massive particles leads to a change from omnidirectional total transmission, known as super-Klein tunneling, to omnidirectional total reflection, referred to as anti-super-Klein tunneling, in the case of the dice lattice ( $α = 1$ ). For all values of $α$ , this transition manifests as a change from conventional Klein tunneling to anti-Klein tunneling.

arXiv comment15 pages, 7 figures

Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles

Abstract

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