Bipolar electron waveguides in two-dimensional materials with tilted Dirac cones
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913233697243136 |
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| author | Hartmann, R. R. Portnoi, M. E. |
| author_facet | Hartmann, R. R. Portnoi, M. E. |
| contents | We show that the (2+1)-dimensional massless Dirac equation, which includes a tilt term, can be reduced to the biconfluent Heun equation for a broad range of scalar confining potentials, including the well-known Morse potential. Applying these solutions, we investigate a bipolar electron waveguide in 8-$Pmmn$ borophene, formed by a well and barrier, both described by the Morse potential. We demonstrate that the ability of two-dimensional materials with tilted Dirac cones to localize electrons in both a barrier and a well can be harnessed to create pseudogaps in their electronic spectrum. These pseudogaps can be tuned through varying the applied top-gate voltage. Potential opto-valleytronic and terahertz applications are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08600 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bipolar electron waveguides in two-dimensional materials with tilted Dirac cones Hartmann, R. R. Portnoi, M. E. Mesoscale and Nanoscale Physics Mathematical Physics We show that the (2+1)-dimensional massless Dirac equation, which includes a tilt term, can be reduced to the biconfluent Heun equation for a broad range of scalar confining potentials, including the well-known Morse potential. Applying these solutions, we investigate a bipolar electron waveguide in 8-$Pmmn$ borophene, formed by a well and barrier, both described by the Morse potential. We demonstrate that the ability of two-dimensional materials with tilted Dirac cones to localize electrons in both a barrier and a well can be harnessed to create pseudogaps in their electronic spectrum. These pseudogaps can be tuned through varying the applied top-gate voltage. Potential opto-valleytronic and terahertz applications are discussed. |
| title | Bipolar electron waveguides in two-dimensional materials with tilted Dirac cones |
| topic | Mesoscale and Nanoscale Physics Mathematical Physics |
| url | https://arxiv.org/abs/2402.08600 |