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In this paper, it is shown that a configuration modulated system described bythe Frenkel-Kontorova model can be locked at an incommensurate phase when thequantum zero point energy is taken into account. It is also found that thespecific heat for an incommensurate phase shows different parameter-dependencein sliding phase and pinning phase. These findings provide a possible way forexperimentalists to verify the phase transition by breaking of analyticity.Comment: 6 pages in Europhys style, 3 eps figure

Mode-locking of incommensurate phase by quantum zero-point energy in the Frenkel-Kontorova model