DOI: 10.1126/science.aal3357. High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices

High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices

10.1126/science.aal3357

Crossref journal-article

American Association for the Advancement of Science (AAAS)

Science (221)

Abstract

Heat-loving quantum oscillations The shape of the Fermi surface in a conductor can be gleaned through quantum oscillations—periodic changes in transport properties as an external magnetic field is varied. Like most quantum properties, the phenomenon can usually be observed only at very low temperatures. Krishna Kumar et al. report quantum oscillations in graphene that do not go away even at the temperature of boiling water. Although “ordinary,” low-temperature quantum oscillations die away, another oscillatory behavior sets in that is extremely robust to heating. These resilient oscillations appear only in samples in which graphene is nearly aligned with its hexagonal boron nitride substrate, indicating that they are caused by the potential of the moiré superlattice that forms in such circumstances. Science , this issue p. 181

Bibliography

Krishna Kumar, R., Chen, X., Auton, G. H., Mishchenko, A., Bandurin, D. A., Morozov, S. V., Cao, Y., Khestanova, E., Ben Shalom, M., Kretinin, A. V., Novoselov, K. S., Eaves, L., Grigorieva, I. V., Ponomarenko, L. A., Falâko, V. I., & Geim, A. K. (2017). High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices. Science, 357(6347), 181â184.

Authors 16

R. Krishna Kumar (first)
X. Chen (additional)
G. H. Auton (additional)
A. Mishchenko (additional)
D. A. Bandurin (additional)
S. V. Morozov (additional)
Y. Cao (additional)
E. Khestanova (additional)
M. Ben Shalom (additional)
A. V. Kretinin (additional)
K. S. Novoselov (additional)
L. Eaves (additional)
I. V. Grigorieva (additional)
L. A. Ponomarenko (additional)
V. I. Fal’ko (additional)
A. K. Geim (additional)

References 44 Referenced 107

N. W. Ashcroft N. D. Mermin Solid State Physics (Holt Rinehart and Winston 1976).
M. Springford Electrons at the Fermi Surface (Cambridge Univ. Press 1980).
10.1016/S0081-1947(08)60091-0
10.1103/PhysRevLett.62.1173
10.1103/PhysRevLett.54.2696
10.1126/science.1137201
10.1103/PhysRev.133.A1038
10.1103/PhysRev.134.A1602
10.1088/0370-1298/68/10/305
10.1103/PhysRevB.14.2239
10.1002/pssb.2220880243
10.1103/PhysRevLett.49.405
10.1103/PhysRevB.28.6713
10.1103/PhysRevLett.86.147
10.1016/j.physe.2004.06.021
10.1103/PhysRevLett.92.036802
10.1038/nature12187
10.1038/nature12186
10.1126/science.1237240
10.1038/nphys2979
10.1126/science.aad2102
10.1021/acs.nanolett.5b05161
10.1038/nphys2272
10.1038/nphys2954
Z. G. Chen, Z. Shi, W. Yang, X. Lu, Y. Lai, H. Yan, F. Wang, G. Zhang, Z. Li, Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures. Nat. Commun. 5, 4461 (2014). 25034319 (10.1038/ncomms5461) / Nat. Commun. / Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures by Chen Z. G. (2014)
10.1038/nature04233
10.1038/nature04235
10.1103/PhysRevB.89.075401
10.1021/acs.nanolett.6b02548
10.1038/nphys3592
10.1021/nl5006542
10.1126/science.1254966
10.1103/PhysRevB.87.245408
10.1038/nnano.2009.177
10.1073/pnas.1300599110
10.1103/PhysRevB.86.081405
10.1103/PhysRevB.86.115415
10.1103/PhysRevLett.112.196602
10.1103/PhysRevB.90.155406
10.1103/PhysRevB.90.165404
10.1103/PhysRevLett.115.186801
10.1103/PhysRevB.90.085427
10.1103/PhysRevLett.117.116804
10.1103/PhysRevB.88.125426

Dates

Type	When
Created	8 years, 1 month ago (July 19, 2017, 4:55 p.m.)
Deposited	1 year, 7 months ago (Jan. 15, 2024, 12:03 p.m.)
Indexed	2 weeks, 6 days ago (Aug. 6, 2025, 8:39 a.m.)
Issued	8 years, 1 month ago (July 14, 2017)
Published	8 years, 1 month ago (July 14, 2017)
Published Print	8 years, 1 month ago (July 14, 2017)

Funders 6

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BibTeX

@article{Krishna_Kumar_2017, title={High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices}, volume={357}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.aal3357}, DOI={10.1126/science.aal3357}, number={6347}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Krishna Kumar, R. and Chen, X. and Auton, G. H. and Mishchenko, A. and Bandurin, D. A. and Morozov, S. V. and Cao, Y. and Khestanova, E. and Ben Shalom, M. and Kretinin, A. V. and Novoselov, K. S. and Eaves, L. and Grigorieva, I. V. and Ponomarenko, L. A. and Fal’ko, V. I. and Geim, A. K.}, year={2017}, month=jul, pages={181–184} }

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