English

Density Matrix Renormalization Group study on incommensurate quantum Frenkel-Kontorova model

Other Condensed Matter 2009-11-11 v1

Abstract

By using the density matrix renormalization group (DMRG) technique, the incommensurate quantum Frenkel-Kontorova model is investigated numerically. It is found that when the quantum fluctuation is strong enough, the \emph{g}-function featured by a saw-tooth map in the depinned state will show a different kind of behavior, similar to a standard map, but with reduced magnitude. The related position correlations are studied in details, which leads to a potentially interesting application to the recently well-explored phase transitions in cold atoms loaded in optical lattices.

Keywords

Cite

@article{arxiv.cond-mat/0604077,
  title  = {Density Matrix Renormalization Group study on incommensurate quantum Frenkel-Kontorova model},
  author = {B. Hu and J. X. Wang},
  journal= {arXiv preprint arXiv:cond-mat/0604077},
  year   = {2009}
}

Comments

11 figures, submitted to Phys. Rev. B