| Project/Area Number |
23540362
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Condensed matter physics I
|
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| Research Institution | The University of Tokyo (2013)
Tokyo Institute of Technology (2011-2012) |
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Principal Investigator |
|
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
|
| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
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| Keywords | 分数量子ホール効果 / グラフェン / 行列積状態 / 量子スピン系 / 厳密基底状態 / 量子ホール効果 / エンタングルメント・スペクトル / エッジ状態 / 厳密解 / カゴメ格子 |
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| Research Abstract |
Recently, a new method to study fractional quantum Hall effect (FQHE) has been proposed: we impose torus boundary conditions to the two-dimensional electron systems, and map the system to a one-dimensional lattice model. Furthermore, the electron-electron interactions are simplified considering the thin-torus limit. Using this method, we have discussed the relationship between Haldane conjecture in quantum spin systems and FQHE. We also proposed a model with an exact ground state describing the FQH state, and matrix product expression for the wave function.
We also discussed interlayer electric conduction, and dimerized state in a quantum spin chain with three-body interactions.
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