Local Two-Body Parent Hamiltonians for the Entire Jain Sequence.

Local Two-Body Parent Hamiltonians for the Entire Jain Sequence.
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整个耆那教序列的局部二体父哈密顿量。

DOI:
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发表时间:
2019
影响因子:
8.6
通讯作者:
A. Seidel
A. Seidel
中科院分区:
物理与天体物理1区
文献类型:
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作者:
S. Bandyopadhyay;G. Ortiz;Z. Nussinov;A. Seidel

文献摘要

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利用二次量子化算子代数,我们建立了在填充因子n/(2np+1),整数n和(半)整数p处的所有非投影Jain状态的局部二体母哈密顿量。我们严格地建立了这些状态是唯一稳定的,并且零模式计数再现了相关边共形场论中的模式计数。我们进一步建立了由此产生的零模式范式背后的组织“纠缠泡利原理”,并揭示了耆那量子霍尔流体不动点物理的突现SU(n)对称性特征。
Using an algebra of second-quantized operators, we develop local two-body parent Hamiltonians for all unprojected Jain states at filling factor n/(2np+1), with integer n and (half-)integer p. We rigorously establish that these states are uniquely stabilized and that zero mode counting reproduces mode counting in the associated edge conformal field theory. We further establish the organizing "entangled Pauli principle" behind the resulting zero mode paradigm and unveil an emergent SU(n) symmetry characteristic of the fixed point physics of the Jain quantum Hall fluid.