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Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices. / Yu, G. L.; Gorbachev, R. V.; Tu, J. S. et al.
In: Nature Physics, Vol. 10, No. 7, 07.2014, p. 525-529.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Yu, GL, Gorbachev, RV, Tu, JS, Kretinin, AV, Cao, Y, Jalil, R, Withers, F, Ponomarenko, LA, Piot, BA, Potemski, M, Elias, DC, Chen, X, Watanabe, K, Taniguchi, T, Grigorieva, IV, Novoselov, KS, Falko, V, Geim, AK & Mishchenko, A 2014, 'Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices', Nature Physics, vol. 10, no. 7, pp. 525-529. https://doi.org/10.1038/NPHYS2979

APA

Yu, G. L., Gorbachev, R. V., Tu, J. S., Kretinin, A. V., Cao, Y., Jalil, R., Withers, F., Ponomarenko, L. A., Piot, B. A., Potemski, M., Elias, D. C., Chen, X., Watanabe, K., Taniguchi, T., Grigorieva, I. V., Novoselov, K. S., Falko, V., Geim, A. K., & Mishchenko, A. (2014). Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices. Nature Physics, 10(7), 525-529. https://doi.org/10.1038/NPHYS2979

Vancouver

Yu GL, Gorbachev RV, Tu JS, Kretinin AV, Cao Y, Jalil R et al. Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices. Nature Physics. 2014 Jul;10(7):525-529. doi: 10.1038/NPHYS2979

Author

Yu, G. L. ; Gorbachev, R. V. ; Tu, J. S. et al. / Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices. In: Nature Physics. 2014 ; Vol. 10, No. 7. pp. 525-529.

Bibtex

@article{a7ed99ee644c45e8b7cfd2a774c6fe41,
title = "Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices",
abstract = "Self-similarity and fractals have fascinated researchers across various disciplines. In graphene placed on boron nitride and subjected to a magnetic field, self-similarity appears in the form of numerous replicas of the original Dirac spectrum, and their quantization gives rise to a fractal pattern of Landau levels, referred to as the Hofstadter butterfly. Here we employ capacitance spectroscopy to probe directly the density of states (DoS) and energy gaps in this spectrum. Without a magnetic field, replica spectra are seen as pronounced DoS minima surrounded by van Hove singularities. The Hofstadter butterfly shows up as recurring Landau fan diagrams in high fields. Electron-electron interactions add another twist to the self-similar behaviour. We observe suppression of quantum Hall ferromagnetism, a reverse Stoner transition at commensurable fluxes and additional ferromagnetism within replica spectra. The strength and variety of the interaction effects indicate a large playground to study many-body physics in fractal Dirac systems.",
keywords = "HEXAGONAL BORON-NITRIDE, SCANNING-TUNNELING-MICROSCOPY, BLOCH ELECTRONS, DIRAC FERMIONS, SKYRMIONS, SPIN",
author = "Yu, {G. L.} and Gorbachev, {R. V.} and Tu, {J. S.} and Kretinin, {A. V.} and Y. Cao and R. Jalil and F. Withers and Ponomarenko, {L. A.} and Piot, {B. A.} and M. Potemski and Elias, {D. C.} and X. Chen and K. Watanabe and T. Taniguchi and Grigorieva, {I. V.} and Novoselov, {K. S.} and Vladimir Falko and Geim, {A. K.} and A. Mishchenko",
year = "2014",
month = jul,
doi = "10.1038/NPHYS2979",
language = "English",
volume = "10",
pages = "525--529",
journal = "Nature Physics",
issn = "1745-2473",
publisher = "Nature Publishing Group",
number = "7",

}

RIS

TY - JOUR

T1 - Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices

AU - Yu, G. L.

AU - Gorbachev, R. V.

AU - Tu, J. S.

AU - Kretinin, A. V.

AU - Cao, Y.

AU - Jalil, R.

AU - Withers, F.

AU - Ponomarenko, L. A.

AU - Piot, B. A.

AU - Potemski, M.

AU - Elias, D. C.

AU - Chen, X.

AU - Watanabe, K.

AU - Taniguchi, T.

AU - Grigorieva, I. V.

AU - Novoselov, K. S.

AU - Falko, Vladimir

AU - Geim, A. K.

AU - Mishchenko, A.

PY - 2014/7

Y1 - 2014/7

N2 - Self-similarity and fractals have fascinated researchers across various disciplines. In graphene placed on boron nitride and subjected to a magnetic field, self-similarity appears in the form of numerous replicas of the original Dirac spectrum, and their quantization gives rise to a fractal pattern of Landau levels, referred to as the Hofstadter butterfly. Here we employ capacitance spectroscopy to probe directly the density of states (DoS) and energy gaps in this spectrum. Without a magnetic field, replica spectra are seen as pronounced DoS minima surrounded by van Hove singularities. The Hofstadter butterfly shows up as recurring Landau fan diagrams in high fields. Electron-electron interactions add another twist to the self-similar behaviour. We observe suppression of quantum Hall ferromagnetism, a reverse Stoner transition at commensurable fluxes and additional ferromagnetism within replica spectra. The strength and variety of the interaction effects indicate a large playground to study many-body physics in fractal Dirac systems.

AB - Self-similarity and fractals have fascinated researchers across various disciplines. In graphene placed on boron nitride and subjected to a magnetic field, self-similarity appears in the form of numerous replicas of the original Dirac spectrum, and their quantization gives rise to a fractal pattern of Landau levels, referred to as the Hofstadter butterfly. Here we employ capacitance spectroscopy to probe directly the density of states (DoS) and energy gaps in this spectrum. Without a magnetic field, replica spectra are seen as pronounced DoS minima surrounded by van Hove singularities. The Hofstadter butterfly shows up as recurring Landau fan diagrams in high fields. Electron-electron interactions add another twist to the self-similar behaviour. We observe suppression of quantum Hall ferromagnetism, a reverse Stoner transition at commensurable fluxes and additional ferromagnetism within replica spectra. The strength and variety of the interaction effects indicate a large playground to study many-body physics in fractal Dirac systems.

KW - HEXAGONAL BORON-NITRIDE

KW - SCANNING-TUNNELING-MICROSCOPY

KW - BLOCH ELECTRONS

KW - DIRAC FERMIONS

KW - SKYRMIONS

KW - SPIN

U2 - 10.1038/NPHYS2979

DO - 10.1038/NPHYS2979

M3 - Journal article

VL - 10

SP - 525

EP - 529

JO - Nature Physics

JF - Nature Physics

SN - 1745-2473

IS - 7

ER -