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    Phase transition in the one-dimensional quantum discrete phi(4)-phi(2) model / G. P. Berman [et al.] // Phys. Rev. B. - 1997. - Vol. 56, Is. 18. - P. 11518-11530, DOI 10.1103/PhysRevB.56.11518. - Cited References: 16 . - ISSN 0163-1829
РУБ Physics, Condensed Matter
Рубрики:
FRENKEL-KONTOROVA MODEL
   FIELD-THEORY

   GROUND-STATE

   FLUCTUATIONS

Аннотация: We consider the ground-state phase transition from broken to restored phases of the one-dimensional quantum discrete phi(4)-phi(2) model as a function of two parameters: the strength of the quantum fluctuations (measured by a dimensionless Planck constant (h) over bar), and the classical dimensionless coupling parameter gamma, which characterizes the strength of interaction of the neighboring atoms. We introduce several distinct variational methods based on self-consistent phonons and soliton wave functions, and compare their predictions for the phase diagram with the (numerically exact) results of previous quantum Monte Carlo simulations. Our calculations show that in the region of weak coupling (gamma 1), both the ''tunneling soliton'' and the ''two-level'' approaches provide good approximations to the true result. In the intermediate coupling region (gamma(c) gamma 1), the method of self-consistent phonons gives a satisfactory description of phase transition. We also compare and contrast our results with previously published approximate methods, and discuss problems for further investigation. [S0163-1829(97)06242-5].

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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Campbell, D. K.; Gubernatis, J. E.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Wang, X. D.
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