| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Outline of Final Research Achievements |
On the basis of complex approaches using matrix-product states, low-dimensional quantum field theories, and numerical simulations, we studied the ground states of various strongly correlated one-dimensional systems. In particular, we investigated and characterized the so-called symmetry-protected topological (SPT) phases realized in a system of ultra-cold alkaline-earth fermions by entanglement spectrum. We also demonstrated the use of non-local order parameters in these phases that defy the characterization with the conventional order parameters. Moreover, we showed that these SPT phases (SPT magnetization plateaus) exist in one-dimensional magnets under high magnetic fields.
In high magnetic fields, not only SPT phases but also genuine topological ones with fractionalized excitations are allowed to exist. In order to present a microscopic example, we considered the three magnetization plateaus in a two-dimensional magnet on the Kagome lattice using quantum Monte-Carlo methods.
|
