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Pseudospin and nonlinear conical diffraction in Lieb lattices

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Date

2012

Authors

Leykam, Daniel
Bahat-Treidel, Omri
Desyatnikov, Anton S

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

We study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an intersection point between two conical bands and a flat band. We define a pseudospin operator and derive a nonlinear equation for spin-1 waves, analogous to the spin-1/2 nonlinear Dirac equation. We then study the dynamics of wave packets that are associated with different pseudospin states, and find that they are distinguished by their linear and nonlinear conical diffraction patterns.

Description

Keywords

Keywords: Conical diffraction; Dirac equations; Flat band; Intersection points; Nonlinear wave dynamics; Pseudo-spin operators; Pseudospin; Linear equations; Optical Kerr effect; Waves; Diffraction

Citation

URI

http://hdl.handle.net/1885/66926

Collections

ANU Research Publications

Source

Physical Review A: Atomic, Molecular and Optical Physics

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1103/PhysRevA.86.031805

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