| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
We numerically study thermal phase transitions of generalized SU(N) Heisenberg models on square and honeycomb lattices. They are critical near zero temperature, and the universality classes on square and honeycomb lattices are the weak Ising one and the three-state Potts one, respectively. For the scaling analysis of critical phenomena, we propose a new Bayesian scaling analysis with corrections to scaling. We show the fast convergence of the value of inverse temperature and critical indexes by our new method for the thermal phase transition of the three-dimensional Ising model. We also numerically study the ground state phase diagram of SU(N) Heisenberg models with multi-column representations on square lattices. We estimate the minimum system size to check the existence of very weak dimer order for three-column representations. For large-scale tensor network calculation, we develop a parallel tensor network library based on the standard parallel linear-algebra library.
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