Quantum Frenkel-Kontorova model

Bambi Hu*, Baowen Li

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

18 Citations (Scopus)


This paper gives a review of our recent work on the quantum Frenkel-Kontorova model. Using the squeezed state theory and the quantum Monte Carlo method, we have studied the effects of quantum fluctuations on the Aubry transition and the behavior of the ground state wave function. We found that quantum fluctuations renormalize the sinusoidal standard map to a sawtooth map. Although quantum fluctuations have smeared the Aubry transition, the remnants of this transition are still discernible. The ground state wave function also changes from an extended state to a localized state. The squeezed state results agree very well with those from the Monte Carlo and mean field studies.

Original languageEnglish
Pages (from-to)81-97
Number of pages17
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
Publication statusPublished - 15 Dec 2000

Scopus Subject Areas

  • Statistics and Probability
  • Condensed Matter Physics


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