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A New Variational Study for Two-Site Holstein Model
Authors:REN Qing-Bao  CHEN Qing-Hu
Affiliation:1. Department of Physics, Lishui College, Lishui 323000, China;2. Department of Physics, Zhejiang University, Hangzhou 310027, China
Abstract:A variational approach is developed to study the groundstate (GS) of thetwo-site Holstein model. By the extended coherent state, where the morephonon correlations are easily incorporated, we can get the very accurate ground state energy for all electron-phonon coupling range in typical values of hopping integral t=0.5,1.1, and 2.1 (in units of phonon frequency ω0), which covers the crossover region fromantiadiabatic limit to the adiabatic limit. Within a very wide trange [0,2.7], the exact results for the GS energy are obtainedwith the twelfth (fourteenth) order corrections to the zeroth order wavefunction. Moreover, the present approach is more concise than anyother analytical ones in this field, and hopefully can be easilygeneralized to many other Holstein models.
Keywords:polaron   coherent state   Holstein model   
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