Title
Ground-state energy of an exciton-(LO)-phonon system in two dimensions
Author
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : B : condensed matter and materials physics. - Lancaster, Pa, 1998 - 2015
Volume/pages
57(1998) :3 , p. 1814-1819
ISSN
0163-1829
ISI
000071716800082
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/a0d60f/7989.pdf
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