| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
We have investigated quantum criticalities in Dirac electrons by large-scale quantum Monte Carlo simulations. First, the universal character of the antiferromagnetic phase transitions is revealed on the basis of two different lattice models, the Hubbard model on a honeycomb lattice and on a square lattice with magnetic flux, which corresponds to the chiral-Heisenberg class in terms of the Gross-Nevue model. We have also studied the superconducting phase transition in the attractive Hubbard model on a triangular lattice with alternating magnetic flux and obtained the critical exponents corresponding to the chiral-XY universality class in the Gross-Neveu model.
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