Chiral Domain-Wall States in a Quadratic Hamiltonian

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概要

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• In two-dimensional lattice systems, the effective Hamiltonian around a doubly degenerate point at the Brillouin-zone center can be of a similar form to the d-wave Bogoliubov--Nambu Hamiltonian. A band gap opens there if a perturbation of time-reversal-symmetry breaking is introduced. In such a system, two domain-wall states with the same chirality emerge around the interface between two domains having the gap parameters of opposite signs. The domain-wall states have asymptotically quadratic dispersions, in contrast to the domain-wall state of the Dirac fermion, which has a linear dispersion irrespective of the domain-wall profile. As an explicit example, we numerically study the domain-wall states of photons in a honeycomb-lattice photonic crystal. The results are in agreement with those obtained using the effective theory based on the quadratic Hamiltonian.

• 2013-12-15

著者

• Ochiai Tetsuyuki

  Photonic Materials Unit, National Institute for Materials Science (NIMS), Tsukuba, Ibaraki 305-0044, Japan

関連論文

• Chiral Domain-Wall States in a Quadratic Hamiltonian

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