Super-Klein tunneling in 2D Lorentzian-type barriers in graphene
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914413316931584 |
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| author | Contreras-Astorga, Alonso Correa, Francisco Inzunza, Luis Jakubsky, Vit Valencia-Torres, Raul |
| author_facet | Contreras-Astorga, Alonso Correa, Francisco Inzunza, Luis Jakubsky, Vit Valencia-Torres, Raul |
| contents | We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field, which exhibits super-Klein tunneling. The electric field can be continuously interpolated between two limiting configurations: a uniform electrostatic Lorentzian barrier with translational invariance and a chain of well-separated electrostatic scatterers. We demonstrate that super-Klein tunneling arises naturally as a direct consequence of the intrinsic connection of the model to free-particle dynamics, a relation that is established through methods of supersymmetric quantum mechanics, which provide an elegant and analytically tractable framework. Besides the mentioned super-Klein tunneling, scale invariance of the model and invisibility of the potential for particles of specific energy are revealed, and possible routes toward experimental realization are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20950 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Super-Klein tunneling in 2D Lorentzian-type barriers in graphene Contreras-Astorga, Alonso Correa, Francisco Inzunza, Luis Jakubsky, Vit Valencia-Torres, Raul Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics Quantum Physics We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field, which exhibits super-Klein tunneling. The electric field can be continuously interpolated between two limiting configurations: a uniform electrostatic Lorentzian barrier with translational invariance and a chain of well-separated electrostatic scatterers. We demonstrate that super-Klein tunneling arises naturally as a direct consequence of the intrinsic connection of the model to free-particle dynamics, a relation that is established through methods of supersymmetric quantum mechanics, which provide an elegant and analytically tractable framework. Besides the mentioned super-Klein tunneling, scale invariance of the model and invisibility of the potential for particles of specific energy are revealed, and possible routes toward experimental realization are discussed. |
| title | Super-Klein tunneling in 2D Lorentzian-type barriers in graphene |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2603.20950 |