A field theory for the Read operator

被引:35
作者
Rajaraman, R
Sondhi, SL
机构
[1] UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
[2] PRINCETON UNIV,DEPT PHYS,PRINCETON,NJ 08540
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 1996年 / 10卷 / 07期
基金
美国国家科学基金会;
关键词
D O I
10.1142/S0217979296000337
中图分类号
O59 [应用物理学];
学科分类号
摘要
We introduce a new field theory for studying quantum Hall systems. The quantum field is a modified version of the bosonic operator introduced by Read. In contrast to Read's original work we do not work in the lowest Landau level alone, and this leads to a much simpler formalism. We identify an appropriate canonical conjugate field, and write a Hamiltonian that governs the exact dynamics of our bosonic field operators. We describe a Lagrangian formalism, derive the equations of motion for the fields and present a family of mean-field solutions. Finally, we show that these mean field solutions are precisely the Laughlin states. We do not, in this work, address the treatment of fluctuations.
引用
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页码:793 / 803
页数:11
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