Phys. Rev. Lett. 56, 1929-1931 (1986)

                                            [Issue 18 - May 1986 ]

                                [ Previous article | Next article | Issue 18 contents ]

    View Page Images or PDF (237 kB)


Effective potentials: A new approach and new results for one-dimensional systems with competing length
scales

     Robert B. Griffiths and Weiren Chou 
     Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213

Received 3 March 1986

A new method, involving the solution of a nonlinear eigenvalue equation, is proposed for finding the ground-state configurations and
energies of the Frenkel-Kontorova and similar one-dimensional models which can show complicated transitions between
commensurate and incommensurate phases. It is used to show that a distinctive phase diagram can arise if a cosine potential is
perturbed by the addition of suitable harmonics.

©1986 The American Physical Society

URL: http://publish.aps.org/abstract/PRL/v56/p1929
PACS: 64.60.Cn, 02.30.+g, 05.45.+b, 68.55.Jk