TY - JOUR
T1 - Finite-size Scaling of the Density of States in Photonic Band Gap Crystals
AU - Hasan, Shakeeb Bin
AU - Mosk, Allard P.
AU - Vos, Willem L.
AU - Lagendijk, Ad
PY - 2018/6/6
Y1 - 2018/6/6
N2 - The famous vanishing of the density of states (DOS) in a band gap, be it photonic or electronic, pertains to the infinite-crystal limit. In contrast, all experiments and device applications refer to finite crystals, which raises the question: Upon increasing the linear size L of a crystal, how fast does the DOS approach the infinite-crystal limit? We present a theory for finite crystals that includes Bloch-mode broadening due to the presence of crystal boundaries. Our results demonstrate that the DOS for frequencies inside a band gap has a 1/L scale dependence for crystals in one, two and three dimensions.
AB - The famous vanishing of the density of states (DOS) in a band gap, be it photonic or electronic, pertains to the infinite-crystal limit. In contrast, all experiments and device applications refer to finite crystals, which raises the question: Upon increasing the linear size L of a crystal, how fast does the DOS approach the infinite-crystal limit? We present a theory for finite crystals that includes Bloch-mode broadening due to the presence of crystal boundaries. Our results demonstrate that the DOS for frequencies inside a band gap has a 1/L scale dependence for crystals in one, two and three dimensions.
UR - http://www.scopus.com/inward/record.url?scp=85048335286&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.120.237402
DO - 10.1103/PhysRevLett.120.237402
M3 - Article
C2 - 29932723
AN - SCOPUS:85048335286
SN - 0031-9007
VL - 120
JO - Physical Review Letters
JF - Physical Review Letters
IS - 23
M1 - 237402
ER -