
Study of one-dimensional Holstein polaron in infinite lattice
Author(s) -
Xuezao Ren,
Huang Shu-Wen,
Liao Xu,
Kelin Wang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2680
Subject(s) - ground state , physics , lattice (music) , polaron , third order , wave function , coupling (piping) , energy (signal processing) , statistical physics , quantum electrodynamics , quantum mechanics , materials science , philosophy , theology , acoustics , metallurgy , electron
Applying the method of coherent state orthogonal expansion, an analytical expression of the ground state energy for one-dimensional Holstein model is obtained. We expand the trial wave function of ground state to third order, and calculate the ground state energy for different lattice sites and different coupling intensities. In the third order approximation, the ground state energy agrees with the numerical solution.