2010 Fiscal Year Final Research Report
Quantum liquids without symmetry breaking : theories of geometrical phases and their applications
| Project/Area Number |
20340098
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
HATSUGAI Yasuhiro University of Tsukuba, 大学院・数理物質科学研究科, 教授 (80218495)
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| Co-Investigator(Kenkyū-buntansha) |
AOKI Hideo 東京大学, 大学院・理学系研究科, 教授 (50114351)
FUKUI Takahiro 茨城大学, 理学部, 教授 (10322009)
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| Co-Investigator(Renkei-kenkyūsha) |
MARUYAMA Isao 大阪大学, 基礎工学部, 助教 (20422339)
OKA Takashi 東京大学, 大学院・理学系研究科, 助教 (50421847)
ARIKAWA Mitsuhiro 東北大学, 学際科学国際高等研究センター, 研究員 (60402814)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 量子液体 / スピン液体 / ベリー位相 / トポロジカル秩序 / Z_2ベリー位相 / 対称性の破れ / ダイマー / エネルギーギャップ |
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| Research Abstract |
Quantum liquids are characteristic phases of matter that do no have any fundamental symmetry breaking. Then usually quite successful standard techniques based on order parameters are anymore not effective for the characterization. In order to classify the quantum liquids, we have constructed a theory of material phases using quantum mechanical geometrical phases (Berry connections). We have applied these general theories for concrete quantum systems by calculating the Berry phases and Chern numbers and successfully characterized classically featureless phases clearly.
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