Breakdown of Dirac dynamics in honeycomb lattices due to nonlinear interactions

Bahat-Treidel, Omri and Peleg, Or and Segev, Mordechai and Buljan, Hrvoje (2010) Breakdown of Dirac dynamics in honeycomb lattices due to nonlinear interactions. Physical Review A, 82 (1). pp. 13830-6. ISSN 1050-2947

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Abstract

We study the dynamics of coherent waves in nonlinear honeycomb lattices and show that nonlinearity breaks down the Dirac dynamics. As an example, we demonstrate that even a weak nonlinearity has major qualitative effects on one of the hallmarks of honeycomb lattices: conical diffraction. Under linear conditions, a circular input wave packet associated with the Dirac point evolves into a ring, but even a weak nonlinearity alters the evolution such that the emerging beam possesses triangular symmetry, and populates Bloch modes outside of the Dirac cone. Our results are presented in the context of optics, but we propose a scheme to observe equivalent phenomena in Bose-Einstein condensates.

Item Type: Article
Keywords: Dirac equation, honeycomb lattice, nonlinear interactions
Date: July 2010
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2010) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0000000-1015
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 31 May 2014 20:44
Last Modified: 24 Feb 2016 15:30
URI: http://digre.pmf.unizg.hr/id/eprint/2038

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