Moiré butterflies in twisted bilayer graphene

R. Bistritzer; A. H. MacDonald

doi:https://doi.org/10.1103/PhysRevB.84.035440

Moiré butterflies in twisted bilayer graphene

Research output: Contribution to journal › Article › peer-review

Abstract

The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magnetoelectronic spectra of systems with moiré spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magnetotransport and magnetomechanical anomalies emerge at accessible magnetic field strengths.

Original language	English
Article number	035440
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	84
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.84.035440
State	Published - 11 Jul 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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https://doi.org/10.1103/PhysRevB.84.035440

Cite this

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title = "Moir{\'e} butterflies in twisted bilayer graphene",

abstract = "The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magnetoelectronic spectra of systems with moir{\'e} spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magnetotransport and magnetomechanical anomalies emerge at accessible magnetic field strengths.",

author = "R. Bistritzer and MacDonald, {A. H.}",

year = "2011",

month = jul,

day = "11",

doi = "https://doi.org/10.1103/PhysRevB.84.035440",

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publisher = "American Physical Society",

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AB - The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magnetoelectronic spectra of systems with moiré spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magnetotransport and magnetomechanical anomalies emerge at accessible magnetic field strengths.

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M3 - مقالة

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JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

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Moiré butterflies in twisted bilayer graphene

Abstract

All Science Journal Classification (ASJC) codes

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