dorsal/arxiv
View SchemaStark effect in a wedge-shaped quantum box
| Authors | Jorge-Alejandro Reyes-Esqueda, Carlos I. Mendoza, Marcelo del Castillo-Mussot, Gerardo J. Vazquez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602193 |
| URL | https://arxiv.org/abs/quant-ph/0602193 |
| DOI | 10.1016/j.physe.2005.04.006 |
| Journal | Physica E 28, 365-373 (2005) |
Abstract
The effect of an external applied electric field on the electronic ground state energy of a quantum box with a geometry defined by a wedge is studied by carrying out a variational calculation. This geometry could be used as an approximation for a tip of a cantilever of an atomic force microscope. We study theoretically the Stark effect as function of the parameters of the wedge: its diameter, angular aperture and thickness; as well as function of the intensity of the external electric field applied along the axis of the wedge in both directions; pushing the carrier towards the wider or the narrower parts. A confining electronic effect, which is sharper as the wedge dimensions are smaller, is clearly observed for the first case. Besides, the sign of the Stark shift changes when the angular aperture is changed from small angles to angles theta>pi. For the opposite field, the electronic confinement for large diameters is very small and it is also observed that the Stark shift is almost independent with respect to the angular aperture.
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"abstract": "The effect of an external applied electric field on the electronic ground\nstate energy of a quantum box with a geometry defined by a wedge is studied by\ncarrying out a variational calculation. This geometry could be used as an\napproximation for a tip of a cantilever of an atomic force microscope. We study\ntheoretically the Stark effect as function of the parameters of the wedge: its\ndiameter, angular aperture and thickness; as well as function of the intensity\nof the external electric field applied along the axis of the wedge in both\ndirections; pushing the carrier towards the wider or the narrower parts. A\nconfining electronic effect, which is sharper as the wedge dimensions are\nsmaller, is clearly observed for the first case. Besides, the sign of the Stark\nshift changes when the angular aperture is changed from small angles to angles\ntheta\u003epi. For the opposite field, the electronic confinement for large\ndiameters is very small and it is also observed that the Stark shift is almost\nindependent with respect to the angular aperture.",
"arxiv_id": "quant-ph/0602193",
"authors": [
"Jorge-Alejandro Reyes-Esqueda",
"Carlos I. Mendoza",
"Marcelo del Castillo-Mussot",
"Gerardo J. Vazquez"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physe.2005.04.006",
"journal_ref": "Physica E 28, 365-373 (2005)",
"title": "Stark effect in a wedge-shaped quantum box",
"url": "https://arxiv.org/abs/quant-ph/0602193"
},
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