Density-Matrix Algorithm for Phonon Hilbert Space Reduction in the Numerical Diagonalization of Quantum Many-Body Systems

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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14 pages, 6 figures, Workshop on High Performance Computing in Science and Engineering, Stuttgart 2001

Scientific paper

Combining density-matrix and Lanczos algorithms we propose a new optimized
phonon approach for finite-cluster diagonalizations of interacting
electron-phonon systems. To illustrate the efficiency and reliability of our
method, we investigate the problem of bipolaron band formation in the extended
Holstein Hubbard model.

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