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Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids

beimu1009 添加于 2009-8-13 17:29 | 2060 次阅读 | 0 个评论

作者
Gils C, Ardonne E, Trebst S, Ludwig AWW, Troyer M, Wang Z
摘要
Quantum mechanical systems, whose degrees of freedom are so-called su(2)k anyons, form a bridge between ordinary SU(2) quantum magnets (of arbitrary spin-S) and systems of interacting non-Abelian anyons. Anyonic spin-1/2 chains exhibit a topological protection mechanism that stabilizes their gapless ground states and which vanishes only in the limit (k) of the ordinary spin-1/2 Heisenberg chain. For anyonic spin-1 chains the phase diagram closely mirrors the one of the biquadratic SU(2) spin-1 chain. Our results describe, at the same time, nucleation of different 2D topological quantum fluids within a “parent” non-Abelian quantum Hall state, arising from a macroscopic occupation with localized, interacting anyons. The edge states between the “nucleated” and the parent liquids are neutral, and correspond precisely to the gapless modes of the anyonic chains. ©2009 The American Physical Society
详细资料
- 文献种类: Journal Article
- 期刊名称: Physical Review Letters
- 期刊缩写: Phys. Rev. Lett.
- 期卷页: 2009年第103卷第7期
- ISBN: 0031-9007
学科领域自然科学 » 物理学
标签

anyon topological
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