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

B. Hu·J. X. Wang
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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.

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B. Hu, J. X. Wang. 2006-04-04. Density Matrix Renormalization Group study on incommensurate quantum Frenkel-Kontorova model. https://doi.org/10.1103/physrevb.73.184305

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