Ground-state wave function of the quantum Frenkel-Kontorova model
Department of Physics and Centre for Nonlinear Studies Hong
Kong Baptist University - Hong Kong, China
2 Department of Physics, University of Houston Houston TX 77204-5506, USA
Accepted: 29 March 1999
The wave function 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 wave function 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.
PACS: 64.70.Rh – Commensurate-incommensurate transitions / 64.70.-p – Specific phase transitions
© EDP Sciences, 1999