Highly accurate analytical energy of a two-dimensional exciton in a constant magnetic field

Explicit expressions are given for analytically describing the dependence of the energy of a two-dimensional exciton on magnetic field intensity. These expressions are highly accurate with the precision of up to three decimal places for the whole range of the magnetic field intensity. The results ar...

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Bibliographic Details
Published inPhysica. B, Condensed matter Vol. 495; pp. 16 - 20
Main Authors Hoang, Ngoc-Tram D., Nguyen, Duy-Anh P., Hoang, Van-Hung, Le, Van-Hoang
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.08.2016
Subjects
Analytical description
Condensed matter
Constants
Decimals
Ground state
Highly accurate
Magnetic field
Magnetic fields
Mathematical analysis
Mathematical models
Two dimensional
Two-dimensional exciton
Two-dimensional exciton
Analytical description
Highly accurate
Magnetic field
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Summary:Explicit expressions are given for analytically describing the dependence of the energy of a two-dimensional exciton on magnetic field intensity. These expressions are highly accurate with the precision of up to three decimal places for the whole range of the magnetic field intensity. The results are shown for the ground state and some excited states; moreover, we have all formulae to obtain similar expressions of any excited state. Analysis of numerical results shows that the precision of three decimal places is maintained for the excited states with the principal quantum number of up to n=100.
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ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2016.04.038