Relevance of inter-composite-fermion interaction to the edge Tomonaga-Luttinger liquid.
Relevance of inter-composite-fermion interaction to the edge Tomonaga-Luttinger liquid.
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DOI：
10.1103/physrevlett.89.096801
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发表时间：
2002-07
影响因子：
8.6
通讯作者：
S. Mandal;J. Jain
中科院分区：
文献类型：
--
作者：
S. Mandal;J. Jain
结果表明，温氏有效理论正确地描述了非相互作用复合费米子系统边缘的Tomonaga-Luttinger液体。然而，复合费米子之间的弱剩余相互作用被发现是一个相关的微扰。用微观方法估算了复合费米子相互作用的Tomonaga-Luttinger参数与填充因子的关系，并与实验结果进行了比较，结果令人满意。结果表明，在有效的一维理论中，电子场算符可能不具有简单的表象。
It is shown that Wen's effective theory correctly describes the Tomonaga-Luttinger liquid at the edge of a system of noninteracting composite fermions. However, the weak residual interaction between composite fermions is found to be a relevant perturbation. The filling factor dependence of the Tomonaga-Luttinger parameter is estimated for interacting composite fermions in a microscopic approach and satisfactory agreement with experiment is achieved. It is suggested that the electron field operator may not have a simple representation in the effective one-dimensional theory.