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Long-range ballistic transport of Brown-Zak fermions in graphene superlattices

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Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. / Barrier, Julien; Kumaravadivel, Piranavan; Kumar, Roshan Krishna; Ponomarenko, Leonid; Xin, Na; Holwill, Matthew; Mullan, Ciaran; Kim, Minsoo; Gorbachev, R. V.; Thompson, Michael; Prance, Jonathan; Taniguchi, T.; Watanabe, K.; Grigorieva, I. V.; Novoselov, K. S.; Mishchenko, Artem; Fal'ko, V. I.; Geim, A. K.; Berdyugin, A. I.

In: Nature Communications, Vol. 11, 5756, 13.11.2020.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Barrier, J, Kumaravadivel, P, Kumar, RK, Ponomarenko, L, Xin, N, Holwill, M, Mullan, C, Kim, M, Gorbachev, RV, Thompson, M, Prance, J, Taniguchi, T, Watanabe, K, Grigorieva, IV, Novoselov, KS, Mishchenko, A, Fal'ko, VI, Geim, AK & Berdyugin, AI 2020, 'Long-range ballistic transport of Brown-Zak fermions in graphene superlattices', Nature Communications, vol. 11, 5756. https://doi.org/10.1038/s41467-020-19604-0

APA

Barrier, J., Kumaravadivel, P., Kumar, R. K., Ponomarenko, L., Xin, N., Holwill, M., Mullan, C., Kim, M., Gorbachev, R. V., Thompson, M., Prance, J., Taniguchi, T., Watanabe, K., Grigorieva, I. V., Novoselov, K. S., Mishchenko, A., Fal'ko, V. I., Geim, A. K., & Berdyugin, A. I. (2020). Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. Nature Communications, 11, [5756]. https://doi.org/10.1038/s41467-020-19604-0

Vancouver

Barrier J, Kumaravadivel P, Kumar RK, Ponomarenko L, Xin N, Holwill M et al. Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. Nature Communications. 2020 Nov 13;11. 5756. https://doi.org/10.1038/s41467-020-19604-0

Author

Barrier, Julien ; Kumaravadivel, Piranavan ; Kumar, Roshan Krishna ; Ponomarenko, Leonid ; Xin, Na ; Holwill, Matthew ; Mullan, Ciaran ; Kim, Minsoo ; Gorbachev, R. V. ; Thompson, Michael ; Prance, Jonathan ; Taniguchi, T. ; Watanabe, K. ; Grigorieva, I. V. ; Novoselov, K. S. ; Mishchenko, Artem ; Fal'ko, V. I. ; Geim, A. K. ; Berdyugin, A. I. / Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. In: Nature Communications. 2020 ; Vol. 11.

Bibtex

@article{8bbb9f0146454dfba276841099bade9a,
title = "Long-range ballistic transport of Brown-Zak fermions in graphene superlattices",
abstract = "In quantizing magnetic fields, graphene superlattices exhibit a complex fractal spectrum often referred to as the Hofstadter butterfly. It can be viewed as a collection of Landau levels that arise from quantization of Brown-Zak minibands recurring at rational (p/q) fractions of the magnetic flux quantum per superlattice unit cell. Here we show that, in graphene-on-boron-nitride superlattices, Brown-Zak fermions can exhibit mobilities above 106 cm2 V−1 s−1 and the mean free path exceeding several micrometers. The exceptional quality of our devices allows us to show that Brown-Zak minibands are 4q times degenerate and all the degeneracies (spin, valley and mini-valley) can be lifted by exchange interactions below 1 K. We also found negative bend resistance at 1/q fractions for electrical probes placed as far as several micrometers apart. The latter observation highlights the fact that Brown-Zak fermions are Bloch quasiparticles propagating in high fields along straight trajectories, just like electrons in zero field.",
author = "Julien Barrier and Piranavan Kumaravadivel and Kumar, {Roshan Krishna} and Leonid Ponomarenko and Na Xin and Matthew Holwill and Ciaran Mullan and Minsoo Kim and Gorbachev, {R. V.} and Michael Thompson and Jonathan Prance and T. Taniguchi and K. Watanabe and Grigorieva, {I. V.} and Novoselov, {K. S.} and Artem Mishchenko and Fal'ko, {V. I.} and Geim, {A. K.} and Berdyugin, {A. I.}",
year = "2020",
month = nov,
day = "13",
doi = "10.1038/s41467-020-19604-0",
language = "English",
volume = "11",
journal = "Nature Communications",
issn = "2041-1723",
publisher = "Nature Publishing Group",

}

RIS

TY - JOUR

T1 - Long-range ballistic transport of Brown-Zak fermions in graphene superlattices

AU - Barrier, Julien

AU - Kumaravadivel, Piranavan

AU - Kumar, Roshan Krishna

AU - Ponomarenko, Leonid

AU - Xin, Na

AU - Holwill, Matthew

AU - Mullan, Ciaran

AU - Kim, Minsoo

AU - Gorbachev, R. V.

AU - Thompson, Michael

AU - Prance, Jonathan

AU - Taniguchi, T.

AU - Watanabe, K.

AU - Grigorieva, I. V.

AU - Novoselov, K. S.

AU - Mishchenko, Artem

AU - Fal'ko, V. I.

AU - Geim, A. K.

AU - Berdyugin, A. I.

PY - 2020/11/13

Y1 - 2020/11/13

N2 - In quantizing magnetic fields, graphene superlattices exhibit a complex fractal spectrum often referred to as the Hofstadter butterfly. It can be viewed as a collection of Landau levels that arise from quantization of Brown-Zak minibands recurring at rational (p/q) fractions of the magnetic flux quantum per superlattice unit cell. Here we show that, in graphene-on-boron-nitride superlattices, Brown-Zak fermions can exhibit mobilities above 106 cm2 V−1 s−1 and the mean free path exceeding several micrometers. The exceptional quality of our devices allows us to show that Brown-Zak minibands are 4q times degenerate and all the degeneracies (spin, valley and mini-valley) can be lifted by exchange interactions below 1 K. We also found negative bend resistance at 1/q fractions for electrical probes placed as far as several micrometers apart. The latter observation highlights the fact that Brown-Zak fermions are Bloch quasiparticles propagating in high fields along straight trajectories, just like electrons in zero field.

AB - In quantizing magnetic fields, graphene superlattices exhibit a complex fractal spectrum often referred to as the Hofstadter butterfly. It can be viewed as a collection of Landau levels that arise from quantization of Brown-Zak minibands recurring at rational (p/q) fractions of the magnetic flux quantum per superlattice unit cell. Here we show that, in graphene-on-boron-nitride superlattices, Brown-Zak fermions can exhibit mobilities above 106 cm2 V−1 s−1 and the mean free path exceeding several micrometers. The exceptional quality of our devices allows us to show that Brown-Zak minibands are 4q times degenerate and all the degeneracies (spin, valley and mini-valley) can be lifted by exchange interactions below 1 K. We also found negative bend resistance at 1/q fractions for electrical probes placed as far as several micrometers apart. The latter observation highlights the fact that Brown-Zak fermions are Bloch quasiparticles propagating in high fields along straight trajectories, just like electrons in zero field.

U2 - 10.1038/s41467-020-19604-0

DO - 10.1038/s41467-020-19604-0

M3 - Journal article

VL - 11

JO - Nature Communications

JF - Nature Communications

SN - 2041-1723

M1 - 5756

ER -