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...

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Main Authors: Soljačić, Marin, Chong, Yidong, Wen, Xiao-Gang
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
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Online Access:https://hdl.handle.net/10356/101039
http://hdl.handle.net/10220/18344
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1010392023-02-28T19:23:10Z Effective theory of quadratic degeneracies Soljačić, Marin Chong, Yidong Wen, Xiao-Gang School of Physical and Mathematical Sciences DRNTU::Science::Physics 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. Published version 2013-12-20T01:38:51Z 2019-12-06T20:32:29Z 2013-12-20T01:38:51Z 2019-12-06T20:32:29Z 2008 2008 Journal Article Chong, Y., Wen, X. G., & Soljačić, M. (2008). Effective theory of quadratic degeneracies. Physical review B, 77(23), 235125. https://hdl.handle.net/10356/101039 http://hdl.handle.net/10220/18344 10.1103/PhysRevB.77.235125 en Physical review B © 2008 The American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevB.77.235125.  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 6 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics
spellingShingle DRNTU::Science::Physics
Soljačić, Marin
Chong, Yidong
Wen, Xiao-Gang
Effective theory of quadratic degeneracies
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Soljačić, Marin
Chong, Yidong
Wen, Xiao-Gang
format Article
author Soljačić, Marin
Chong, Yidong
Wen, Xiao-Gang
author_sort Soljačić, Marin
title Effective theory of quadratic degeneracies
title_short Effective theory of quadratic degeneracies
title_full Effective theory of quadratic degeneracies
title_fullStr Effective theory of quadratic degeneracies
title_full_unstemmed Effective theory of quadratic degeneracies
title_sort effective theory of quadratic degeneracies
publishDate 2013
url https://hdl.handle.net/10356/101039
http://hdl.handle.net/10220/18344
_version_ 1759852940715098112