Quantum coherence and Skyrmions in a bilayer quantum Hall system

被引:39
作者
Ezawa, ZF
机构
[1] Department of Physics, Tohoku University
来源
PHYSICAL REVIEW B | 1997年 / 55卷 / 12期
关键词
D O I
10.1103/PhysRevB.55.7771
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We analyze quantum coherence in a bilayer quantum Hall system. We use a bosonic Chern-Simons gauge theory with the lowest Landau-level projection taken into account. Although the kinetic energy term is quenched in the Hamiltonian, the dynamics arises since the X and Y components of the guiding center X = (X, Y) do not commute. In the case of the bilayer system the dynamics is governed by the W-infinity x SU(2) algebra. We emphasize that the fractional quantum Hall state is a condensed but not a coherent phase of composite bosons. It follows from this ground-state property and the W-infinity algebra that the fractional quantum Hall system is incompressible. In a certain bilayer quantum Hall system the ground state is a coherent state of the SU(2) component of the composite boson field, which is the CP1 field. Skyrmions are topological excitations in this coherent mode. A systematic method is presented to calculate the current and static correlation functions. It is argued that Skyrmion excitations are detectable by measuring the Hall current distribution. We construct the Landau-Ginzburg theory of the coherent mode. The coherent mode is a superfluid mode in the vanishing limit of the tunneling interaction.
引用
收藏
页码:7771 / 7790
页数:20
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