Solving the Holstein molecular crystal model

Details Solving the Holstein molecular crystal model Solving the Holstein molecular crystal model

1997-10-29

arxiv.org/abs/cond-mat/9710321v2

Physics

Condensed Matter

28 LaTex pages including 10 eps figures A few updates have been included

Scientific paper

We present selected results for the Holstein molecular crystal model in one space dimension as determined by the Global-Local variational method, including complete polaron energy bands, ground state energies, and effective masses. We juxtapose our results with specific comparable results of numerous other methodologies of current interest, including quantum Monte Carlo, cluster diagonalization, dynamical mean field theory, density matrix renormalization group, semiclassical analysis, weak-coupling perturbation theory, and strong-coupling perturbation theory. This comparison confirms the Global-Local variational method as being highly accurate over a wide range of the polaron parameter space, from the non-adiabatic limit to the extremes of high adiabaticity, from weak coupling through intermediate coupling to strong coupling.

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