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Nonsymmorphic symmetry is crystal symmetry realized as combination of a point group operation and a non-primitive lattice translation. Many crystals have such nonsymmorphic crystal symmetry, but it effects on topological phases just begin to be explored very recently. It has been discovered that nonsymmorphic symmetry provides intrinsically new topological phases in insulators and superconductors. For example, the new topological phases may be characterized by new Z2 and Z4 topological indices, hosting exotic Mobius twisted surface states. In addition, nonsymmorphic symmetry also provides new gapless structure in nodal superconductors. In this talk, I will explain our recent results on nonsymmorphic topological phases.

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Masatoshi Sato, Kyoto University
Seminar Room of the Institute of Physics II
Contact: Yoichi Ando