Breaking of Particle-Hole Symmetry by Landau Level Mixing in the v=5/2 Quantized Hall State

Breaking of Particle-Hole Symmetry by Landau Level Mixing in the v=5/2 Quantized Hall State
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DOI:
10.1103/physrevlett.106.116801
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发表时间:
2011-03-14
影响因子:
8.6
通讯作者:
Simon, Steven H.
Simon, Steven H.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Rezayi, Edward H.;Simon, Steven H.

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我们进行数值研究,以确定在填充因子 v = 5/2 时观察到的分数量子霍尔态是否是摩尔-里德波函数或其粒子空穴共轭,即所谓的反普法夫函数。使用截断希尔伯特空间方法,我们发现,对于现实相互作用,包括朗道级混合,基态保持完全极化,并且反普法夫方程受到强烈青睐。
We perform numerical studies to determine if the fractional quantum Hall state observed at a filling factor of v = 5/2 is the Moore-Read wave function or its particle-hole conjugate, the so-called anti-Pfaffian. Using a truncated Hilbert space approach we find that, for realistic interactions, including Landau-level mixing, the ground state remains fully polarized and the anti-Pfaffian is strongly favored.