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中等朗道能级混合强度下的反常折返5/2量子霍尔相。

Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength.

作者信息

Das Sudipto, Das Sahana, Mandal Sudhansu S

机构信息

Department of Physics, Indian Institute of Technology, Kharagpur, West Bengal 721302, India.

出版信息

Phys Rev Lett. 2023 Aug 4;131(5):056202. doi: 10.1103/PhysRevLett.131.056202.

DOI:10.1103/PhysRevLett.131.056202
PMID:37595232
Abstract

A successful probing of the neutral Majorana mode in recent thermal Hall conductivity measurements opines in favor of the particle-hole symmetric Pfaffian (PH-Pf) topological order, contrasting the theoretical predictions of Pfaffian or anti-Pfaffian phases. Here we report a reentrant anomalous quantized phase that is found to be gapped in the thermodynamic limit, distinct from the conventional Pfaffian, anti-Pfaffian, or PH-Pf phases, at an intermediate strength of Landau level mixing. Our proposed wave function consistent with the PH-Pf shift in spherical geometry rightly captures the topological order of this phase, as its overlap with the exact ground state is very high and it reproduces low-lying entanglement spectra. A unique topological order, irrespective of the flux shifts, found for this phase, possibly corroborates the experimentally found topological order.

摘要

近期热霍尔电导率测量中对中性马约拉纳模式的成功探测表明支持粒子-空穴对称的Pfaffian(PH-Pf)拓扑序,这与Pfaffian或反Pfaffian相的理论预测形成对比。在此我们报告一种重入反常量子化相,发现在朗道能级混合的中等强度下,该相在热力学极限中存在能隙,不同于传统的Pfaffian、反Pfaffian或PH-Pf相。我们提出的与球形几何中PH-Pf位移一致的波函数正确地捕捉到了该相的拓扑序,因为它与精确基态的重叠非常高,并且能重现低能纠缠谱。该相发现的独特拓扑序,与通量位移无关,可能证实了实验发现的拓扑序。

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