| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
The classification of topological insulators and superconductors is reformulated as classification of Dirac mass terms, and a theoretical framework is developed for finding the classification from the topology of classifying spaces obtained from the extension problem of Clifford algebras which are generated from Dirac Hamiltonians and symmetry transformation operators. Applying this theoretical framework led to the following results: it was shown that surface states of weak Z2 topological insulators/superconductors are stable against disorder; phase diagrams for the Anderson localization problem of disordered topological insulators/superconductors are obtained; the classification of Weyl/Dirac semimetals with Z2 topological charge is achieved. Furthermore, a model of SU(3) spins is constructed which has a symmetry protected topological ground state.
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