Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons

Details Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons

1997-08-25

arxiv.org/abs/cond-mat/9708195v1

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages. To be published in PRB rapid com

Scientific paper

10.1103/PhysRevB.56.R8471

We study the application of the density matrix renormalization group (DMRG) to systems with one-dimensional acoustic phonons. We show how the use of a local oscillator basis circumvents the difficulties with the long-range interactions generated in real space using the normal phonon basis. When applied to a harmonic atomic chain, we find excellent agreement with the exact solution even when using a modest number of oscillator and block states (a few times ten). We discuss the use of this algorithm in more complex cases and point out its value when other techniques are deficient.

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