Quantum effects in the Frenkel-Kontorova model

We numerically study the quantized verion of the Frenkel-Kontorova model, using Feynman quantization and the Metropolis algorithm. The gross structure of the quantum ground state above the critical parameter value mirrors the classical equilibrium configuration, provided that \ensuremath{\Elzxh} is not too large; nevertheless, its fine structure is significantly different, and can be related to a sawtooth map rather than to the standard map. The dependence of energy on temperature is also investigated and is explained in terms of the quantum phonon spectrum for linearized motion.

Hali tarjima qilinmagan