| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
We have shown that the generalized chiral symmetry, which we propose for characterizing generic tilted Dirac particles, can be defined not only for low-energy effective hamiltonians but also for lattice models exactly. We have developed a general theoretical framework for such systems in which we show that lattice models respecting the generalized chiral symmetry can be systematically generated by an algebraic deformation of a lattice model with the conventional chiral symmetry. With this general framework for the generalized chiral symmetry, we have discussed an exact extension of the zero modes of the tilted fermion-vortex systems in two dimensions as well as the topological protection of the doubling of the tilted Dirac fermions on lattice models.
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