Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles
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| Formato: | Preprint |
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2020
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| author | Mandhour, L. Bouhadida, F. |
| author_facet | Mandhour, L. Bouhadida, F. |
| contents | 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 $np$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_10144 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles Mandhour, L. Bouhadida, F. Mesoscale and Nanoscale Physics 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 $np$ 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. |
| title | Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2004.10144 |