The resonant state at filling factor ν = 1/2 in chiral fermionic ladders

The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
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手性费米子梯中填充因子 ν = 1/2 时的谐振态

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
M. Burrello
M. Burrello
中科院分区:
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文献类型:
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作者:
Andreas Haller;M. Rizzi;M. Burrello

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由于强烈的自旋-轨道相互作用,螺旋液体已经在纳米线和超冷原子链中实验实现。在这两种情况下,内部自由度都可以被视为额外的空间维度,将这些系统解释为手性合成梯子,其人造磁通量由自旋轨道项确定。在这项工作中,我们刻画了填充ν=1/2时出现的螺旋态:这种态是由相应的勒廷格液体的自旋扇区中产生的能隙产生的,它可以解释为费米子对的分数量子霍尔态的一维(1D)极限。我们研究了它的主要特征,重点研究了纠缠特性和关联函数。所发展的技术为研究类似的准一维系统提供了一个关键的例子,超越了通常用来描述类Laughlin态的半经典近似。
Helical liquids have been experimentally realized in both nanowires and ultracold atomic chains as the result of strong spin–orbit interactions. In both cases the inner degrees of freedom can be considered as an additional space dimension, providing an interpretation of these systems as chiral synthetic ladders, with artificial magnetic fluxes determined by the spin–orbit terms. In this work, we characterize the helical state which appears at filling ν = 1/2: this state is generated by a gap arising in the spin sector of the corresponding Luttinger liquid and it can be interpreted as the one-dimensional (1D) limit of a fractional quantum Hall state of bosonic pairs of fermions. We study its main features, focusing on entanglement properties and correlation functions. The techniques developed here provide a key example for the study of similar quasi-1D systems beyond the semiclassical approximation commonly adopted in the description of the Laughlin-like states.
DOI: 10.1038/nphys3171
发表时间: 2015-02-01
期刊: NATURE PHYSICS
影响因子: 19.6
作者:
Aidelsburger, M.;Lohse, M.;Goldman, N.
通讯作者: Goldman, N.