Long-range ballistic transport of Brown-Zak fermions in graphene superlatticesCitation formats

  • External authors:
  • Roshan Krishna Kumar
  • L. A. Ponomarenko
  • Na Xin
  • Matthew Holwill
  • Minsoo Kim
  • M. D. Tompson
  • J. R. Prance
  • T Taniguchi
  • K Watanabe
  • Konstantin Novoselov
  • Artem Mishchenko
  • Vladimir Fal'ko
  • Andre Geim
  • Alexey Berdyugin

Standard

Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. / Barrier, Julien; Kumaravadivel, Piranavan; Krishna Kumar, Roshan; Ponomarenko, L. A.; Xin, Na; Holwill, Matthew; Mullan, Ciaran; Kim, Minsoo; Gorbachev, Roman; Tompson, M. D.; Prance, J. R. ; Taniguchi, T; Watanabe, K; Grigorieva, Irina; Novoselov, Konstantin; Mishchenko, Artem; Fal'ko, Vladimir; Geim, Andre; Berdyugin, Alexey.

In: Nature Communications, Vol. 11, No. 1, 5756, 13.11.2020.

Research output: Contribution to journalArticlepeer-review

Harvard

Barrier, J, Kumaravadivel, P, Krishna Kumar, R, Ponomarenko, LA, Xin, N, Holwill, M, Mullan, C, Kim, M, Gorbachev, R, Tompson, MD, Prance, JR, Taniguchi, T, Watanabe, K, Grigorieva, I, Novoselov, K, Mishchenko, A, Fal'ko, V, Geim, A & Berdyugin, A 2020, 'Long-range ballistic transport of Brown-Zak fermions in graphene superlattices', Nature Communications, vol. 11, no. 1, 5756. https://doi.org/10.1038/s41467-020-19604-0

APA

Barrier, J., Kumaravadivel, P., Krishna Kumar, R., Ponomarenko, L. A., Xin, N., Holwill, M., Mullan, C., Kim, M., Gorbachev, R., Tompson, M. D., Prance, J. R., Taniguchi, T., Watanabe, K., Grigorieva, I., Novoselov, K., Mishchenko, A., Fal'ko, V., Geim, A., & Berdyugin, A. (2020). Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. Nature Communications, 11(1), [5756]. https://doi.org/10.1038/s41467-020-19604-0

Vancouver

Barrier J, Kumaravadivel P, Krishna Kumar R, Ponomarenko LA, Xin N, Holwill M et al. Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. Nature Communications. 2020 Nov 13;11(1). 5756. https://doi.org/10.1038/s41467-020-19604-0

Author

Barrier, Julien ; Kumaravadivel, Piranavan ; Krishna Kumar, Roshan ; Ponomarenko, L. A. ; Xin, Na ; Holwill, Matthew ; Mullan, Ciaran ; Kim, Minsoo ; Gorbachev, Roman ; Tompson, M. D. ; Prance, J. R. ; Taniguchi, T ; Watanabe, K ; Grigorieva, Irina ; Novoselov, Konstantin ; Mishchenko, Artem ; Fal'ko, Vladimir ; Geim, Andre ; Berdyugin, Alexey. / Long-range ballistic transport of Brown-Zak fermions in graphene superlattices. In: Nature Communications. 2020 ; Vol. 11, No. 1.

Bibtex

@article{6e24d67e237848d5b18f31742ebc15b2,
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.",
keywords = "graphene, superlattice, Brown-Zak fermion, ballistic, high mobility",
author = "Julien Barrier and Piranavan Kumaravadivel and {Krishna Kumar}, Roshan and Ponomarenko, {L. A.} and Na Xin and Matthew Holwill and Ciaran Mullan and Minsoo Kim and Roman Gorbachev and Tompson, {M. D.} and Prance, {J. R.} and T Taniguchi and K Watanabe and Irina Grigorieva and Konstantin Novoselov and Artem Mishchenko and Vladimir Fal'ko and Andre Geim and Alexey Berdyugin",
note = "Funding Information: This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) Grand Challenges (EP/N010345), Lloyd{\textquoteright}s Register Foundation, Graphene Flagship, the Royal Society and the European Research Council (grant Vander). A.I.B. acknowledges support from the Graphene NOWNANO Doctoral Training Centre. Publisher Copyright: {\textcopyright} 2020, Crown. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = nov,
day = "13",
doi = "10.1038/s41467-020-19604-0",
language = "English",
volume = "11",
journal = "Nature Communications",
issn = "2041-1723",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

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

AU - Barrier, Julien

AU - Kumaravadivel, Piranavan

AU - Krishna Kumar, Roshan

AU - Ponomarenko, L. A.

AU - Xin, Na

AU - Holwill, Matthew

AU - Mullan, Ciaran

AU - Kim, Minsoo

AU - Gorbachev, Roman

AU - Tompson, M. D.

AU - Prance, J. R.

AU - Taniguchi, T

AU - Watanabe, K

AU - Grigorieva, Irina

AU - Novoselov, Konstantin

AU - Mishchenko, Artem

AU - Fal'ko, Vladimir

AU - Geim, Andre

AU - Berdyugin, Alexey

N1 - Funding Information: This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) Grand Challenges (EP/N010345), Lloyd’s Register Foundation, Graphene Flagship, the Royal Society and the European Research Council (grant Vander). A.I.B. acknowledges support from the Graphene NOWNANO Doctoral Training Centre. Publisher Copyright: © 2020, Crown. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

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.

KW - graphene

KW - superlattice

KW - Brown-Zak fermion

KW - ballistic

KW - high mobility

UR - http://www.scopus.com/inward/record.url?scp=85095940649&partnerID=8YFLogxK

U2 - 10.1038/s41467-020-19604-0

DO - 10.1038/s41467-020-19604-0

M3 - Article

C2 - 33188210

AN - SCOPUS:85095940649

VL - 11

JO - Nature Communications

JF - Nature Communications

SN - 2041-1723

IS - 1

M1 - 5756

ER -