2004 Fiscal Year Final Research Report Summary
Geometrical and Algebraic Aspects of Condensed Matter Physics
| Project/Area Number |
15540364
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | the University of Tokyo |
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Principal Investigator |
HATSUGAI Yasuhiro The University of Tokyo, School of Engineering, Associate Professor, 大学院・工学系研究科, 助教授 (80218495)
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| Co-Investigator(Kenkyū-buntansha) |
MORITA Yoshifumi Gunma University, Engineering Dept, Associate Professor, 工学部共通講座物理学教室, 助教授 (10292898)
RYU Shinsei The University of Tokyo, School of Engineering, Research Associate, 大学院・工学系研究科, 助手 (90376492)
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| Project Period (FY) |
2003 – 2004
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| Keywords | Topological Order / Anisotropic Superconductivity / Carbon 2D systems / Edge States / Quantum Liquids / Topological Invariants / Quantum Hall Effects / Quantum Entanglements |
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| Research Abstract |
It has been recognized that some of physically important quantum states are not well characterized by conventional order parameters. In such cases, geometrical phases which are characteristic in quantum physics play an important role. We try to characterize the states by the word "topological orders". Some of such states are polyacetylenes, quantum Hall states, two dimensional Carbon sheets, anisotropic superconductors with time reversal symmetry breaking and so on. In most cases, the topological orders are hidden in the bulk and reveal their characters near boundaries or defects as generalized edge states. Some of low dimensional quantum liquids can be also in the classes where topological invariants based on the Berry's connection may replace the conventional order parameters.
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