.png){kind=icon}
返回
Renormalization-group potential for quantum Hall effects
.png){kind=icon}
OA
AI
DOI：10.1103/PhysRevB.85.155123.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The phenomenological analysis of fully spin-polarized quantum Hall systems, based on holomorphic modular symmetries of the renormalization group (RG) flow, is generalized to more complicated situations where the spin or other flavors of charge carriers are relevant, and where the symmetry is different. We make the simplest possible ansatz for a family of RG potentials that can interpolate between these symmetries. It is parametrized by a single number a and we show that this suffices to account for almost all scaling data obtained to date. The potential is always symmetric under the main congruence group at level two, and when a takes certain values, this symmetry is enhanced to one of the maximal subgroups of the modular group. We compute the covariant RG beta function, which is a holomorphic vector field derived from the potential, and compare the geometry of this gradient flow with available temperature driven scaling data. The value of a is determined from experiment by finding the location of a quantum critical point, i.e., an unstable zero of the beta function given by a saddle point of the RG potential. The data are consistent with a is an element of R, which together with the symmetry leads to a generalized semicircle law.
Keyword:
INDUCED PHASE-TRANSITIONS
MAGNETIC-FIELD
MODULAR SYMMETRY
INTEGER
DUALITY
LOCALIZATION
DIAGRAM
DELOCALIZATION
UNIVERSALITY
PERCOLATION
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
机构
引用论文
Scaling flow diagram in the fractional quantum Hall regime of GaAs/AlxGa1-xAs heterostructures -: art. no. 195317.png)
PHYSICAL REVIEW BOAAI
PHYSICAL REVIEW BIF3.7
OAAI分享收藏Quantum Hall effect in graphene: Emergent modular symmetry and the semicircle lawPHYSICAL REVIEW BOAAI
PHYSICAL REVIEW BIF3.7
OAAI分享收藏
查看更多内容