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Magic angle (in)stability and mobility edges in disordered Chern insulators.

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Title: Magic angle (in)stability and mobility edges in disordered Chern insulators.
Authors: Becker, Simon1 (AUTHOR) simon.becker@math.ethz.ch, Oltman, Izak2 (AUTHOR) ioltman@berkeley.edu, Vogel, Martin3 (AUTHOR) vogel@math.unistra.fr
Source: Journal of Physics A: Mathematical & Theoretical. 9/8/2025, Vol. 58 Issue 36, p1-40. 40p.
Subjects: Graphene, Topological property, Hamiltonian mechanics, Mathematical symmetry, Transport theory, Topological insulators
Abstract: Why do experiments only observe one magic angle in twisted bilayer graphene, despite standard models like the chiral limit of the Bistritzer–MacDonald (BM) Hamiltonian predicting an infinite number? In this article, we explore the relative stability of larger magic angles compared to smaller ones. Specifically, we analyze how disorder impacts these angles as described by the BM Hamiltonian in the chiral limit. Changing focus, we investigate the topological and transport properties of a specific magic angle under disorder. We identify a mobility edge near the flat band energy for small disorder, showing that this mobility edge persists even when all Chern numbers are zero. This persistence is attributed to the system's C 2 z T symmetry, which enables non-trivial sublattice transport. Notably, this effect remains robust beyond the chiral limit and near perfect magic angles, aligning with experimental observations. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 189106836
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  Data: Magic angle (in)stability and mobility edges in disordered Chern insulators.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physics+A%3A+Mathematical+%26+Theoretical%22">Journal of Physics A: Mathematical & Theoretical</searchLink>. 9/8/2025, Vol. 58 Issue 36, p1-40. 40p.
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  Data: <searchLink fieldCode="DE" term="%22Graphene%22">Graphene</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+property%22">Topological property</searchLink><br /><searchLink fieldCode="DE" term="%22Hamiltonian+mechanics%22">Hamiltonian mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+symmetry%22">Mathematical symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Transport+theory%22">Transport theory</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+insulators%22">Topological insulators</searchLink>
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  Data: Why do experiments only observe one magic angle in twisted bilayer graphene, despite standard models like the chiral limit of the Bistritzer–MacDonald (BM) Hamiltonian predicting an infinite number? In this article, we explore the relative stability of larger magic angles compared to smaller ones. Specifically, we analyze how disorder impacts these angles as described by the BM Hamiltonian in the chiral limit. Changing focus, we investigate the topological and transport properties of a specific magic angle under disorder. We identify a mobility edge near the flat band energy for small disorder, showing that this mobility edge persists even when all Chern numbers are zero. This persistence is attributed to the system's C 2 z T symmetry, which enables non-trivial sublattice transport. Notably, this effect remains robust beyond the chiral limit and near perfect magic angles, aligning with experimental observations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1088/1751-8121/adfbb2
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      – Code: eng
        Text: English
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        PageCount: 40
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      – SubjectFull: Graphene
        Type: general
      – SubjectFull: Topological property
        Type: general
      – SubjectFull: Hamiltonian mechanics
        Type: general
      – SubjectFull: Mathematical symmetry
        Type: general
      – SubjectFull: Transport theory
        Type: general
      – SubjectFull: Topological insulators
        Type: general
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      – TitleFull: Magic angle (in)stability and mobility edges in disordered Chern insulators.
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            NameFull: Becker, Simon
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            NameFull: Oltman, Izak
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            NameFull: Vogel, Martin
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            – D: 08
              M: 09
              Text: 9/8/2025
              Type: published
              Y: 2025
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            – TitleFull: Journal of Physics A: Mathematical & Theoretical
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