Particle-flux separation of electrons in the half-filled Landau level: Chargeon-fluxon approach
Particle-flux separation of electrons in the half-filled Landau level: Chargeon-fluxon approach
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半填充朗道能级中电子的粒子通量分离：电荷通量子方法
DOI：
10.1016/s0550-3213(96)00564-0
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
T. Matsui
中科院分区：
文献类型：
--
作者：
I. Ichinose;T. Matsui
我们以前曾用格点规范理论研究过与费米子耦合的Chern-Simons（CS）规范理论在有限温度下的相结构。本文提出了电子的“电荷通量”表示，并利用它重新研究了半满朗道能级中电子的粒子通量分离现象。我们从一个费米子与CS规范场相互作用的晶格系统开始，并引入两个名为chargeon和fluxon的奴隶运营商进行CS电荷和通量，分别。最初的费米子，即耆那教的复合费米子，是电荷子和磁通子的复合体。我们进一步重写模型，通过引入一个辅助链接字段，其相位的行为作为规范场粘合电荷和磁通子。然后，我们利用分离现象理论研究了该规范场的禁闭-解除禁闭跃迁。剩余的四费米相互作用在决定临界温度TPFS方面起着重要的作用，在该温度以下发生PFS。新的表示有一些优点：（1）它允许一个场论的描述也为通量自由度。(2)它与高温超导体的t-J模型中的从玻色子或从费米子表示非常相似，其中电子是霍隆和自旋的复合物。这一点为我们在一般的背景下理解强关联电子系统中的两种典型分离现象开辟了一条途径。
We have previously studied the phase structure at finite temperatures of the Chern-Simons (CS) gauge theory coupled with fermions by using lattice gauge theory. In this paper, we formulate the “chargeon-fluxon” representation of electrons and use it to reinvestigate the phenomenon of particle-flux separation (PFS) of electrons in the half-filled Landau level. We start with a lattice system of fermions interacting with a CS gauge field, and introduce two slave operators named chargeon and fluxon that carry the CS charge and flux, respectively. The original fermion, the composite fermion of Jain, is a composite of a chargeon and a fluxon. We further rewrite the model by introducing an auxiliary link field, the phase of which behaves as a gauge field gluing chargeons and fluxons. Then we study a confinement-deconfinement transition of that gauge field by using the theory of separation phenomena as in the previous paper. The residual four-Fermi interactions play an important role to determine the critical temperature TPFS, below which the PFS takes place. The new representation has some advantages; (1) It allows a field-theoretical description also for the flux degrees of freedom. (2) It has a close resemblance to the slave-boson or slave-fermion representations of the t-J model of high-Tcsuperconductors in which an electron is a composite of a holon and a spinon. This point opens a way to understand the two typical separation phenomena in strongly correlated electron systems in a general and common setting.