A quantum Peierls-Nabarro barrier

Details A quantum Peierls-Nabarro barrier A quantum Peierls-Nabarro barrier

2000-03-02

arxiv.org/abs/hep-th/0003015v1

J.Phys.A33:4741-4754,2000

Physics

High Energy Physics

High Energy Physics - Theory

13 pages LaTeX, 7 figures

Scientific paper

10.1088/0305-4470/33/26/302

Kink dynamics in spatially discrete nonlinear Klein-Gordon systems is considered. For special choices of the substrate potential, such systems support continuous translation orbits of static kinks with no (classical) Peierls-Nabarro barrier. It is shown that these kinks experience, nevertheless, a lattice-periodic confining potential, due to purely quantum effects anaolgous to the Casimir effect of quantum field theory. The resulting ``quantum Peierls-Nabarro potential'' may be calculated in the weak coupling approximation by a simple and computationally cheap numerical algorithm, which is applied, for purposes of illustration, to a certain two-parameter family of substrates.

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