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Effect of magnetic field on the binding energy of a hydrogenic donor in a vertical bar z vertical bar(2/3) quantum well

Arulmozhi, M and Balasubramanian, S (1996) Effect of magnetic field on the binding energy of a hydrogenic donor in a vertical bar z vertical bar(2/3) quantum well. In: Physica Scripta T, 54 (6). 651-656 .

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Official URL: http://iopscience.iop.org/1402-4896/54/6/017

Abstract

We have calculated the binding energy of a hydrogenic donor in a quantum well with potential shape proportional to \z\(2/3) as a function of the width of the quantum well and the barrier height under an applied uniform magnetic field along the a axis. As the well width decreases, the binding energy increases initially up to a critical well width (which is nearly the same for all magnetic fields) at which there is a turnover. The results are qualitatively similar to those of a hydrogenic donor in a rectangular well. We have also calculated [rho(2)](1/2) and [z(2)](1/2) for the donor electron. [rho(2)](1/2) is found to be strongly dependent on the magnetic field for a given well width and weakly dependent on the well width and the barrier height, for a given value of magnetic field [z(2)](1/2) is weakly dependent on the applied magnetic field. The probability of finding the donor electron inside the well shows a rapid decrease as the well width is reduced at nearly the well width at which the binding energy shows a maximum.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Royal Swedish Acad Sciences.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 28 Apr 2011 06:22
Last Modified: 28 Apr 2011 06:22
URI: http://eprints.iisc.ernet.in/id/eprint/37129

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