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Title
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Ground-state energy of an exciton-(LO)-phonon system in two dimensions
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Author
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Abstract
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| This paper presents a variational study of the ground-state energy of an exciton-(LO)-phonon system in two spatial dimensions. it complements a preceding publication. providing a general (D-dimensional) outline and an explicit treatment of the case D = 3. The exciton-phonon interaction is of the Frohlich type. Making use of functional-integral and variational techniques. we obtain upper bounds on the ground-state energy. The present study-like the previous one-has two major intentions: First, we demonstrate or the problem under consideration that one can profitably use a nonharmonic trial action within the functional-integral framework. Second, we show that our lowest bound is an analytical function of the electron-phonon coupling parameter, being completely smooth throughout the whole parameter region, This is in contrast to earlier conjectures, curd excludes phenomena such as self-trapping or self-shrinking, but is consistent with rigorous qualitative results Cor the true ground-state energy. We include a critical comparison of our results with previous ones. |
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Language
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English
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Source (journal)
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Physical review : B : condensed matter. - New York, N.Y., 1978 - 1997
Physical review : B : condensed matter and materials physics. - Lancaster, Pa, 1998 - 2015
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Publication
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New York, N.Y.
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1998
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ISSN
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0163-1829
[print]
1095-3795
[online]
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DOI
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10.1103/PHYSREVB.57.1814
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Volume/pages
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57
:3
(1998)
, p. 1814-1819
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ISI
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000071716800082
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Full text (Publisher's DOI)
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Full text (open access)
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