Related Experiment Video
Updated: Jun 3, 2026

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
Published on: January 19, 2018
Two-dimensional electron states bound to an off-plane donor in a magnetic field
A Bruno-Alfonso1, L Cândido, G-Q Hai
1Departamento de Matemática, Faculdade de Ciências, UNESP-Univ Estadual Paulista, 17033-360, Bauru, SP, Brazil.
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.
Related Concept Videos
Atomic Nuclei: Nuclear Spin State Overview
π Electron Effects on Chemical Shift: Overview
Valence Bond Theory
The Pauli Exclusion Principle
Two-Dimensional (2D) NMR: Overview
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse.
Electron Orbital Model
