2015 Fiscal Year Final Research Report
Relationship between Phonon Effects and Frustration in Quantum Spin Systems
| Project/Area Number |
25610107
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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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 | University of the Ryukyus |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
AKIYAMA Satoru 和歌山工業高等専門学校, 総合教育科, 教授 (10256662)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | フォノン / フラストレーション / 量子相転移 / 有効ハミルトニアン |
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| Outline of Final Research Achievements |
In phonon systems with spin-phonon interactions, we developed a method to derive effective Hamiltonians by removing a degree of freedom of phonon analytically. The effective Hamiltonians describe frustrated quantum spin systems with competing spin interactions energetically. Furthermore,we expanded this method to be applicable to the one-dimensional spin-phonon interaction systems with the geometric structure changes, the high-dimensional systems with the interchain interaction due to phonons, and the one-dimensional systems with the nearest-neighbor and next-nearest-neighbor spin-phonon interactions. We was able to understand the novel states and phase transitions to occur in the ground states of both the phonon system and the frustrated quantum spin system by using our method to connect the two systems.
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| Free Research Field |
物性理論
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