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Variational Calculation for Large Bipolarons in Arbitrary Dimensions |
CHEN Qinghu;WAN Shaolong;WANG Kelin |
Center for Fundamental Physics, University of Science and Technology of China, Hefei 230026 |
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Cite this article: |
CHEN Qinghu, WAN Shaolong, WANG Kelin 1994 Chin. Phys. Lett. 11 361-364 |
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Abstract The calculation model of the large bipolaron binding energy proposed by Verbist et al. is extended to arbitrary dimensions including fractal dimensions. It is found that the fractal dimension D = 1.25 corresponds to the lowest critical coupling constant αc = 1.9, D = 1.73 corresponds to the highest critical ratio of dielectric constants ηc = 0.163, and when D ≤ 1.145 bipolarons can not exist for any coupling constants and ratios of dielectric constants.
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Keywords:
71.38.+i
63.20.Kr
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Published: 01 June 1994
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