Two-dimensional electron states bound to an off-plane donor in a magnetic field.
← Research streamElectron states confined to a 2D plane and bound to an off-plane donor impurity in the presence of a magnetic field were investigated. Energy levels for the ground state and first three excited states were calculated variationally, and binding energy and mean…
Study snapshot
Abstract
The states of an electron confined in a two-dimensional (2D) plane and bound to an off-plane donor impurity center, in the presence of a magnetic field, are investigated. The energy levels of the ground state and the first three excited states are calculated variationally. The binding energy and the mean orbital radius of these states are obtained as a function of the donor center position and the magnetic field strength. The limiting cases are discussed for an in-plane donor impurity (i.e. a 2D hydrogen atom) as well as for the donor center far away from the 2D plane in strong magnetic fields, which corresponds to a 2D harmonic oscillator.
AI evidence extraction
Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.
Main findings
Electron states confined to a 2D plane and bound to an off-plane donor impurity in the presence of a magnetic field were investigated. Energy levels for the ground state and first three excited states were calculated variationally, and binding energy and mean orbital radius were obtained as functions of donor position and magnetic field strength; limiting cases corresponding to a 2D hydrogen atom and a 2D harmonic oscillator were discussed.
Outcomes measured
- Energy levels (ground and first three excited states)
- Binding energy
- Mean orbital radius
View raw extracted JSON
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"outcomes": [
"Energy levels (ground and first three excited states)",
"Binding energy",
"Mean orbital radius"
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"main_findings": "Electron states confined to a 2D plane and bound to an off-plane donor impurity in the presence of a magnetic field were investigated. Energy levels for the ground state and first three excited states were calculated variationally, and binding energy and mean orbital radius were obtained as functions of donor position and magnetic field strength; limiting cases corresponding to a 2D hydrogen atom and a 2D harmonic oscillator were discussed.",
"effect_direction": "unclear",
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"keywords": [
"two-dimensional electron states",
"donor impurity",
"magnetic field",
"variational calculation",
"binding energy",
"orbital radius",
"2D hydrogen atom",
"2D harmonic oscillator"
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}AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.
Identifiers and source
DOI: 10.1088/0953-8984/22/12/125801
PubMed: 21389496
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