Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-10-08
Phys. Rev. B 78, 235120 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages, 10 figures
Scientific paper
10.1103/PhysRevB.78.235120
We generalize the momentum average (MA) approximation to study the properties of models with momentum-dependent electron-phonon coupling. As in the case of the application of the original MA to the Holstein model, the results are analytical, numerically trivial to evaluate, exact for both zero bandwidth and for zero electron-phonon coupling, and are accurate everywhere in parameter space. Comparison with available numerical data confirms this accuracy. We then show that further improvements can be obtained based on variational considerations, using the one-dimensional breathing-mode Hamiltonian as a specific example. For example, by using this variational MA, we obtain ground state energies within at most 0.3% error of the numerical data.
Berciu Mona
Goodvin Glen L.
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