Effective theory of quadratic degeneracies

We present an effective theory for the Bloch functions of a two-dimensional square lattice near a quadratic degeneracy point. The degeneracy is protected by the symmetries of the crystal, and breaking these symmetries can either open a band gap or split the degeneracy into a pair of linear degenerac...

全面介紹

Saved in:
書目詳細資料
Main Authors: Soljačić, Marin, Chong, Yidong, Wen, Xiao-Gang
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2013
主題:
在線閱讀:https://hdl.handle.net/10356/101039
http://hdl.handle.net/10220/18344
標簽: 添加標簽
沒有標簽, 成為第一個標記此記錄!
實物特徵
總結:We present an effective theory for the Bloch functions of a two-dimensional square lattice near a quadratic degeneracy point. The degeneracy is protected by the symmetries of the crystal, and breaking these symmetries can either open a band gap or split the degeneracy into a pair of linear degeneracies that are continuable to Dirac points. A degeneracy of this type occurs between the second and third transverse magnetic bands of a photonic crystal formed by a square lattice of dielectric rods. We show that the theory agrees with numerically computed photonic band structures and yields the correct Chern numbers induced by parity breaking.