Incompressible quantum liquids and new conservation laws.
Incompressible quantum liquids and new conservation laws.
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DOI：
10.1103/physrevlett.95.266405
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发表时间：
2005-09
影响因子：
8.6
通讯作者：
A. Seidel;H. Fu;Dung-Hai Lee;J. Leinaas;J. Moore
中科院分区：
文献类型：
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作者：
A. Seidel;H. Fu;Dung-Hai Lee;J. Leinaas;J. Moore
在这封信中，我们调查一类哈密顿，除了通常的质心动量守恒，也有质心位置守恒。我们发现，无论粒子的统计，能量谱至少是q倍退化填充因子为p/q，其中和互质整数。有趣的是，最简单的哈密顿尊重这种类型的对称封装两个突出的例子，新的物质状态，即分数量子霍尔液体和量子二聚体液体。我们讨论的相关性，这一类的哈密顿寻找无特征的莫特绝缘体。
In this Letter, we investigate a class of Hamiltonians which, in addition to the usual center-of-mass momentum conservation, also have center-of-mass position conservation. We find that, regardless of the particle statistics, the energy spectrum is at least q-fold degenerate when the filling factor is p/q, where and are coprime integers. Interestingly, the simplest Hamiltonian respecting this type of symmetry encapsulates two prominent examples of novel states of matter, namely, the fractional quantum Hall liquid and the quantum dimer liquid. We discuss the relevance of this class of Hamiltonian to the search for featureless Mott insulators.