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Fractional quantum Hall effect in a U(1)xSU(2) gauge field

zqyin 添加于 2011-8-4 19:34 | 1495 次阅读 | 0 个评论

作者
Palmer RN, Pachos JK
摘要
We consider the bosonic fractional quantum Hall effect in the presence of a non-Abelian gauge field in addition to the usual Abelian magnetic field. The non-Abelian field breaks the twofold internal state degeneracy, but preserves the Landau level degeneracy. Using exact diagonalization, we find that for moderate non-Abelian field strengths the system's behaviour resembles a single internal state quantum Hall system, while for stronger fields there is a phase transition to either two internal state behaviour or the complete absence of fractional quantum Hall plateaus. Usually the energy gap is reduced by the presence of a non-Abelian field, but some non-Abelian fields appear to slightly increase the gap of the $\nu=1$ and $\nu=3/2$ Read-Rezayi states.
详细资料
- 文献种类:期刊
- 期刊名称: New Journal of Physics
- 期刊缩写: New J. Phys.
- 期卷页: 2011年第13卷 065002页
- 备注:arXiv:1012.3581v1; 15 pages, 8 figures, submitted to New J. Phys
标签

condensed matter topological order
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