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Ground and excited states of the bipolaron in two and three dimensions

2005/09/09 by Yong Hong Ruan, Y. H. Ruan, Q. H. Chen +5
Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Mechanical and Optical Resonators #Quantum optics and atomic interactions #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0509233

19 pages, 5 figures (including 8 parts)

arxiv created 2005/09/09 · openalex publication_date 2005/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The properties of large bipolarons in two and three dimensions are investigated by averaging over the relative wavefunction of the two electrons and using the Lee-Low-Pines-Huybrechts variational method. We obtain the ground-state (GS) and excited-state energies of the Fröhlich bipolaron for the whole range of electron-phonon coupling constants. Furthermore, we calculate the energies of the first relaxed excited state (RES) and Franck-Condon (FC) excited state of the bipolaron. Compared with the FC state, the first RES has a lower energy. Our results for the GS and RES energies are lower than those obtained before by the Landau-Pekar method in the whole coupling regime.

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