Highly symmetric discrete breather in a two-dimensional Morse crystal


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

It has been shown recently that a moving discrete breathers localized in one close-packed atomic row can be excited in a two-dimensional monoatomic crystal with Morse interaction. In this work, a motionless discrete breathers having the threefold symmetry axis has been excited in the same crystal. The initial conditions for the excitation of such discrete breathers are set by the superposition of a bell-shaped function on a planar nonlinear phonon mode with the wave vector lying at the edge of the Brillouin zone. In addition, the displacement of the centers of atomic oscillations from the center of the discrete breathers owing to the asymmetry of the Morse potential is taken into account. The results obtained make it possible to approach the search for highly symmetric discrete breathers in three-dimensional crystals.

About the authors

E. A. Korznikova

Institute for Metals Superplasticity Problems

Email: dmitriev.sergey.v@gmail.com
Russian Federation, Ufa, 450001

S. Yu. Fomin

Ufa State Aviation Technical University

Email: dmitriev.sergey.v@gmail.com
Russian Federation, Ufa, 450077

E. G. Soboleva

Yurga Institute of Technology (Branch)

Email: dmitriev.sergey.v@gmail.com
Russian Federation, Tomsk, 652050

S. V. Dmitriev

Institute for Metals Superplasticity Problems; National Research Tomsk Polytechnic University

Author for correspondence.
Email: dmitriev.sergey.v@gmail.com
Russian Federation, Ufa, 450001; Tomsk, 634050

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Pleiades Publishing, Inc.