| Project/Area Number |
24740269
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
SHIRAKAWA Tomonori 独立行政法人理化学研究所, 柚木計算物性物理研究室, 基礎科学特別研究員 (40571237)
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| Project Period (FY) |
2012-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Keywords | 密度行列繰り込み群法 / ２次元強相関電子系 / 量子スピン液体 / トポロジカル秩序 / ディラックフェルミオン / 密度行列繰り込み群 |
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| Research Abstract |
We have implemented state-of-the-art DMRG code, which can take world largest adapted states, approximately m~15000. We have then applied this code to interacting massless Dirac electrons described by a Hubbard type model. Carefully calculating the double occupancy as a function of the on-site Coulomb repulsion U, we have found that there is only one transition with U. In the strong coupling limit, the ground state of this model becomes a symmetry broken state. Therefore, our result suggests that the metal-insulator transition is accompanied by symmetry breaking in this system. We have also developed the DMRG method for the magnetic impurity problem defined in the 2 and 3 dimensions, and the method has been applied to the magnetic impurity problem coupled with massless Dirac electrons. We have calculated local dynamical magnetic susceptibility and found that, in the particle-hole symmetric case, the Kondo screening is absent.
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