Optimized phonon approach for the diagonalization of electron-phonon problems

Details Optimized phonon approach for the diagonalization of electron-phonon problems Optimized phonon approach for the diagonalization of electron-phonon problems

2000-03-08

arxiv.org/abs/cond-mat/0003125v1

Phys. Rev. B 62, R747 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures included, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.62.R747

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase diagram for bi-polaron formation in the one-dimensional Holstein-Hubbard model, and the Luttinger parameters for the metallic phase of the half-filled one-dimensional Holstein model of spinless fermions.

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