TY - JOUR
T1 - Axion crystals
AU - Ozaki, Sho
AU - Yamamoto, Naoki
N1 - Funding Information:
The author N. Y. thanks T. Brauner and Y. Hidaka for useful conversations. This work was supported by JSPS KAKENHI Grant No. 16K17703 and MEXT-Supported Program for the Strategic Research Foundation at Private Universities, “Topological Science” (Grant No. S1511006).
Publisher Copyright:
© 2017, The Author(s).
PY - 2017/8/1
Y1 - 2017/8/1
N2 - The low-energy effective theories for gapped insulators are classified by three parameters: permittivity ϵ, permeability μ, and theta angle θ. Crystals with periodic ϵ are known as photonic crystals. We here study the band structure of photons in a new type of crystals with periodic θ (modulo 2π) in space, which we call the axion crystals. We find that the axion crystals have a number of new properties that the usual photonic crystals do not possess, such as the helicity-dependent mass gap and nonrelativistic gapless dispersion relation at small momentum. We briefly discuss possible realizations of axion crystals in condensed matter systems and high-energy physics.
AB - The low-energy effective theories for gapped insulators are classified by three parameters: permittivity ϵ, permeability μ, and theta angle θ. Crystals with periodic ϵ are known as photonic crystals. We here study the band structure of photons in a new type of crystals with periodic θ (modulo 2π) in space, which we call the axion crystals. We find that the axion crystals have a number of new properties that the usual photonic crystals do not possess, such as the helicity-dependent mass gap and nonrelativistic gapless dispersion relation at small momentum. We briefly discuss possible realizations of axion crystals in condensed matter systems and high-energy physics.
KW - Effective Field Theories
KW - Gauge Symmetry
KW - Topological States of Matter
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U2 - 10.1007/JHEP08(2017)098
DO - 10.1007/JHEP08(2017)098
M3 - Article
AN - SCOPUS:85028300160
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 98
ER -