Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-05-12
Phys. Rev. B Vol. 60, 14080-14091 (1999).
Physics
Condensed Matter
Strongly Correlated Electrons
Scientific paper
10.1103/PhysRevB.60.14080
We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron properties in D dimensions. The ground state energy is considered as a primary criterion through which to study the effects of anisotropy on the self-trapping transition, the self-trapping line associated with this transition, and the adiabatic critical point. The effects of dimensionality and anisotropy on electron-phonon correlations and polaronic mass enhancement are studied, with particular attention given to the polaron radius and the characteristics of quasi-1D and quasi-2D structures. Perturbative results are confirmed by selected comparisons with variational calculations and quantum Monte Carlo data.
Brown David W.
Lindenberg Katja
Romero Aldo H.
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