1993 Fiscal Year Final Research Report Summary
Theorles of Superconductivity and Quantum Hall Effect Via Chem-Simons Gauge Theory.
| Project/Area Number |
03640256
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
核・宇宙線・素粒子
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| Research Institution | Hokkaido University |
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Principal Investigator |
ISHIKAWA Kenzo Hokkaido University, Faculty of science professor, 理学部, 教授 (90159690)
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| Project Period (FY) |
1991 – 1993
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| Keywords | Strong correlation / Quantum Hall effect / Fractional Hall effect / One dimensional system / Vortex / Correlation function / Bi-local mean field |
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| Research Abstract |
Bi-local mean field theory has been applied to strongly correlated electron systems. Especially last year, the vortex solutions of quantum Hall system which are non-linear and topological excitations have been analyzed, and the same method was applied to one dimensional 1/7^2 interacting systems. Main results are the following :
(i) Charged vortex solutions and neutral vortex solutions of quantum Hall system are obtained.
(ii) Bi-local mean field theory gives a reasonable value to the ground state energy in one dimensional system.
(iii) Exponents of correlation functions satisfy the Luttinger liquid relation but are in dis-agreement with those of conformal field theory.
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