Ground state wavefunction of the quantum Frenkel-Kontorova model

Details Ground state wavefunction of the quantum Frenkel-Kontorova model Ground state wavefunction of the quantum Frenkel-Kontorova model

1999-04-20

arxiv.org/abs/cond-mat/9904287v1

Physics

Condensed Matter

5 Europhys pages, 3 EPS figures, accepted for publication in Europhys. Letters

Scientific paper

10.1209/epl/i1999-00315-2

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.

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