A pr 1 99 9 ( Mis-) handling gauge invariance in the theory of the quantum Hall effect II : Perturbative results
A pr 1 99 9 ( Mis-) handling gauge invariance in the theory of the quantum Hall effect II : Perturbative results
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A pr 1 99 9 (Mis-) 处理量子霍尔效应理论中的规范不变性 II ：微扰结果
DOI：
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
B. Škorić
中科院分区：
文献类型：
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作者：
M. Baranov;A. Pruisken;B. Škorić
在2+2ε空间维中研究了在积分和半积分量子霍尔效应分析中提出的F不变性概念。我们报告了一个详细的重整化群分析的结果，并建立重整化的（芬克尔斯坦）行动的两个循环顺序。我们表明，红外行为的理论可以提取规范不变（F-不变）量。对于这些量（电导率，比热），我们推导出明确的标度函数。我们确定了一个玻色子准粒子密度的状态，其中开发一个库仑间隙接近从金属侧的金属-绝缘体过渡。我们讨论了强耦合，绝缘制度的F-不变性的后果。PAC编号72.10。- d，73.20.Dx，73.40.Hm，使用REVTEX进行的分型
The concept of F-invariance, which previously arose in our analysis of the integral and half-integral quantum Hall effects, is studied in 2+2ε spatial dimensions. We report the results of a detailed renormalization group analysis and establish the renormalizability of the (Finkelstein) action to two loop order. We show that the infrared behaviour of the theory can be extracted from gauge invariant (F-invariant) quantities only. For these quantities (conductivity, specific heat) we derive explicit scaling functions. We identify a bosonic quasiparticle density of states which develops a Coulomb gap as one approaches the metal-insulator transition from the metallic side. We discuss the consequences of F-invariance for the strong coupling, insulating regime. PACSnumbers 72.10.-d, 73.20.Dx, 73.40.Hm Typeset using REVTEX