Density Matrix Renormalization Group study on incommensurate quantum Frenkel-Kontorova model
arXiv:cond-mat/0604077 · doi:10.1103/PhysRevB.73.184305
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.
11 figures, submitted to Phys. Rev. B
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Cited by in corpus (6)
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- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Quantum Effects in the Aubry Transition
- Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
- A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model
- Error analysis of the density-matrix renormalization group algorithm for a chain of harmonic oscillators