Finite-size scaling of the density of states in photonic band gap crystals
| Abstract | The famous vanishing of the density of states (DOS) in a band gap, be it photonic or electronic, pertains to crystals in the infinite-size limit. In contrast, all experiments and applications pertain to finite crystals, which raises the question: Upon increasing the 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. |
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| URL | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.237402 |
| Authors | S. B. Hasan, A. P. Mosk, W. L. Vos, and A. Lagendijk |
| Year of publication | 2018 |
| Date published | 06/2018 |
| Journal | Phys. Rev. Lett. |
| Volume | 120 |
| Pages | 237402: 1-6 |
| DOI number | 10.1103/PhysRevLett.120.237402 |
| Keywords | density of states, finite support, finite-size scaling, photonic bandgap |