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 |
Section | 一般 |
Research Field |
Mathematical physics/Fundamental condensed matter physics
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Research Institution | University of Tsukuba |
Principal Investigator |
HATSUGAI Yasuhiro University of Tsukuba, 大学院・数理物質科学研究科, 教授 (80218495)
|
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)
|
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)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥18,850,000 (Direct Cost: ¥14,500,000、Indirect Cost: ¥4,350,000)
Fiscal Year 2010: ¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2009: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2008: ¥7,020,000 (Direct Cost: ¥5,400,000、Indirect Cost: ¥1,620,000)
|
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 / Z2ベリー位相 / グラフェン / 量子相転移 |
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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Report
(4 results)
Research Products
(171 results)
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[Journal Article]2009
Author(s)
初貝安弘(共著)
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Journal Title
トポロジーデザイニング:新しい幾何学から始める物質・材料設計(NTS)
Pages: 83-94
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[Journal Article]2009
Author(s)
初貝安弘(共著)
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Journal Title
グラフェンの機能と応用展望(シーエムシー出版)
Pages: 33-45
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[Presentation] Z_2 Berry phase in 2D orthogonal dimer model2010
Author(s)
Sho Tanaya, Isao Maruyama, Mitsuhiro Arikawa, Yasuhiro Hatsugai
Organizer
IXXIV IUPAP International Conference on Statistical Physics (StatPhys24)
Place of Presentation
Convention Centre, Cairns, Queensland, Australia
Year and Date
2010-07-20
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[Presentation] Chiral Symmetry in Graphene2010
Author(s)
Y.Hatsugai, T.Kawarabayashi, T.Morimoto, H.Aoki (presented by Kawarabayashi)
Organizer
Graphene Week 2010
Place of Presentation
College Park, Maryland, USA
Year and Date
2010-04-21
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