A field theory for the Read operator
A field theory for the Read operator
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DOI：
10.1142/s0217979296000337
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发表时间：
1996-03-30
影响因子：
1.7
通讯作者：
Sondhi, SL
中科院分区：
文献类型：
--
作者：
Rajaraman, R;Sondhi, SL
介绍了一种新的研究量子霍尔系统的场论。量子场是由里德引入的玻色子算子的修改版本。相反，阅读的原始工作，我们不工作在最低的朗道水平单独，这导致了一个简单得多的形式主义。我们确定了一个适当的正则共轭场，并写出了一个控制玻色子场算符精确动力学的汉密尔顿。我们描述了一个拉格朗日形式主义，推导出运动方程的领域，并提出了一个家庭的平均场的解决方案。最后，我们表明，这些平均场的解决方案正是劳克林国家。在本书中，我们不讨论波动的处理。
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.