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Topological Crystals and the quantum effects

Presented by: 
S Tanda Hokkaido University
Thursday 6th December 2012 - 12:05 to 12:25
INI Seminar Room 1
Session Title: 
Knots in mathematics: Tight Knots, etc.
Session Chair: 
Rob Kusner
We report the discovery of Mobius, Ring, Figure-8, Hopf-link Crystals in NbSe3, conventionally grown as ribbons and whiskers.

We also reveal their formation mechanisms of which two crucial components are the spherical selenium (Se) droplet, which a NbSe3 ber wraps around due to surface tension, and the monoclinic (P2(1)/m) crystal symmetry inherent in NbSe3, which induces a twist in the strip when bent. Our crystals provide a non-fictious topological Mobius world governed by a non-trivial real-space topology. We classified these topological crystals as an intermediary between condensed matter physics and mathematics. Moreover, we observed Aharonov-Bohm effect of charge-density wave and Frolich type superconductor as electronic properties using topological crystals.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons