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arXiv 1003.1086cond-mat.str-elcond-mat.mes-hallhep-th
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精确可解模型中由规范场驱动的拓扑相变

Topological phase transitions driven by gauge fields in an exactly solvable model

Ville Lahtinen, Jiannis K. Pachos

摘要:

我们证明了Kitaev的蜂窝晶格模型中存在一个新的拓扑有序相。这个新相的出现是由于涡旋晶格的存在,它支持手征阿贝尔任意子。我们的特点是通过其低能量的行为,描述了一个独特的狄拉克费米子的数量相。我们确定了两个物理上不同类型的拓扑相变,并获得分析扩展相空间的临界行为。费米面的演变与过渡被证明是由于狄拉克费米子耦合到手征规范场。最后,我们描述了如何新的阶段可以理解的任意子涡之间的相互作用。

英文摘要:

We demonstrate the existence of a new topologically ordered phase in Kitaev's honeycomb lattice model. This new phase appears due to the presence of a vortex lattice and it supports chiral Abelian anyons. We characterize the phase by its low-energy behavior that is described by a distinct number of Dirac fermions. We identify two physically distinct types of topological phase transitions and obtain analytically the critical behavior of the extended phase space. The Fermi surface evolution associated with the transitions is shown to be due to the Dirac fermions coupling to chiral gauge fields. Finally, we describe how the new phase can be understood in terms of interactions between the anyonic vortices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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