Тип публикации: статья из журнала
Год издания: 1994
Идентификатор DOI: 10.1103/PhysRevB.49.8212
Аннотация: We study the quantum ground state of the Frenkel-Kontorova model in the ''strongly nonlinear'' regime in which in the corresponding classical limit the coordinates of the atoms are distributed on ''Cantori.'' We identify (many) quasidegenerate configurations that contribute to the quantum ground state. When the characteristic quantПоказать полностьюum and classical energy scales are roughly equal (the ''intermediate'' quantum regime), we find, consistent with earlier numerical studies, that the ''standard map'' determining the coordinates in the classical ground state is renormalized to an effective ''sawtooth'' map, which determines the expectation values of the coordinates in the quantum ground state. We also discuss the dynamics of the model and estimate the characteristic time for various quantum tunneling effects.
Журнал: PHYSICAL REVIEW B
Выпуск журнала: Vol. 49, Is. 12
Номера страниц: 8212-8226
ISSN журнала: 01631829
Место издания: COLLEGE PK
Издатель: AMERICAN PHYSICAL SOC