Ground state wavefunction of the quantum Frenkel-Kontorova model
arXiv:cond-mat/9904287 · doi:10.1209/epl/i1999-00315-2
Abstract
The wavefunction of an incommensurate ground state for a one-dimensional discrete sine-Gordon model -- the Frenkel-Kontorova (FK) model -- at zero temperature is calculated by the quantum Monte Carlo method. It is found that the ground state wavefunction crosses over from an extended state to a localized state when the coupling constant exceeds a certain critical value. So, although the quantum fluctuation has smeared out the breaking of analyticity transition as observed in the classical case, the remnant of this transition is still discernible in the quantum regime.
5 Europhys pages, 3 EPS figures, accepted for publication in Europhys. Letters
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- Electronic properties of the 1D Frenkel-Kontorova model
- Mode-locking of incommensurate phase by quantum zero point energy in the Frenkel-Kontorova model
- Disturbance spreading in incommensurate and quasiperiodic systems
- Density Matrix Renormalization Group study on incommensurate quantum Frenkel-Kontorova model
- A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model