A Chern-Simons effective field theory for the Pfaffian quantum Hall state
A Chern-Simons effective field theory for the Pfaffian quantum Hall state
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DOI：
10.1016/s0550-3213(98)00111-4
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发表时间：
1998-04-20
影响因子：
2.8
通讯作者：
Wilczek, F
中科院分区：
文献类型：
--
作者：
Fradkin, E;Nayak, C;Wilczek, F
提出了一种描述普氏量子霍尔态普适性类的低能量有效场论。为了得到这个理论，我们观察到玻色子在v = 1时的Pfaffian态的边缘理论是一个SU(2)(2) Kac-Moody代数。相应的体有效场论是耦合常数k = 2的SU(2) chen - simons理论，其他普法夫态的有效场论，如v = 1/2处的费米子态的有效场论是通过通量附加程序得到的。我们在这种有效场论的背景下讨论了准粒子的非阿贝尔统计。(C) 1998爱思唯尔科学有限公司
We present a low-energy effective field theory describing the universality class of the Pfaffian quantum Hall state. To arrive at this theory, we observe that the edge theory of the Pfaffian state of bosons at v = 1 is an SU(2)(2) Kac-Moody algebra. It follows that the corresponding bulk effective field theory is an SU(2) Chern-Simons theory with coupling constant k = 2, The effective field theories for other Pfaffian states, such as the fermionic one at v = 1/2 are obtained by a flux-attachment procedure. We discuss the non-Abelian statistics of quasiparticles in the context of this effective field theory. (C) 1998 Elsevier Science B.V.