Interaction phenomena in graphene seen through quantum capacitance

G. L. Yu; R. Jalil; Branson Belle; Alexander S. Mayorov; Peter Blake; Frederick Schedin; Sergey V. Morozov; Leonid A. Ponomarenko; F. Chiappini; S. Wiedmann; Uli Zeitler; Mikhail I. Katsnelson; A. K. Geim; Kostya S. Novoselov; Daniel C. Elias

doi:10.1073/pnas.1300599110

Interaction phenomena in graphene seen through quantum capacitance

G. L. Yu, R. Jalil, Branson Belle, Alexander S. Mayorov, Peter Blake, Frederick Schedin, Sergey V. Morozov, Leonid A. Ponomarenko, F. Chiappini, S. Wiedmann, Uli Zeitler, Mikhail I. Katsnelson, A. K. Geim, Kostya S. Novoselov, Daniel C. Elias

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Abstract

Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use large-area high-quality graphene capacitors to study behavior of the density of states in this material in zero and high magnetic fields. Clear renormalization of the linear spectrum due to electron-electron interactions is observed in zero field. Quantizing fields lead to splitting of the spin- and valley-degenerate Landau levels into quartets separated by interaction-enhanced energy gaps. These many-body states exhibit negative compressibility but the compressibility returns to positive in ultrahigh B. The reentrant behavior is attributed to a competition between field-enhanced interactions and nascent fractional states.

Original language	English
Pages (from-to)	3282-3286
Number of pages	4
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	110
Issue number	9
DOIs	https://doi.org/10.1073/pnas.1300599110
Publication status	Published - 26 Feb 2013

Keywords

2D based heterostructures
Boron nitride
Fermi velocity-renormalization

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Yu, G. L., Jalil, R., Belle, B., Mayorov, A. S., Blake, P., Schedin, F., Morozov, S. V., Ponomarenko, L. A., Chiappini, F., Wiedmann, S., Zeitler, U., Katsnelson, M. I., Geim, A. K., Novoselov, K. S., & Elias, D. C. (2013). Interaction phenomena in graphene seen through quantum capacitance. Proceedings of the National Academy of Sciences of the United States of America, 110(9), 3282-3286. https://doi.org/10.1073/pnas.1300599110

@article{aa184840c70a40c1a63245d6f0e56da7,

title = "Interaction phenomena in graphene seen through quantum capacitance",

abstract = "Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use large-area high-quality graphene capacitors to study behavior of the density of states in this material in zero and high magnetic fields. Clear renormalization of the linear spectrum due to electron-electron interactions is observed in zero field. Quantizing fields lead to splitting of the spin- and valley-degenerate Landau levels into quartets separated by interaction-enhanced energy gaps. These many-body states exhibit negative compressibility but the compressibility returns to positive in ultrahigh B. The reentrant behavior is attributed to a competition between field-enhanced interactions and nascent fractional states.",

keywords = "2D based heterostructures, Boron nitride, Fermi velocity-renormalization",

author = "Yu, {G. L.} and R. Jalil and Branson Belle and Mayorov, {Alexander S.} and Peter Blake and Frederick Schedin and Morozov, {Sergey V.} and Ponomarenko, {Leonid A.} and F. Chiappini and S. Wiedmann and Uli Zeitler and Katsnelson, {Mikhail I.} and Geim, {A. K.} and Novoselov, {Kostya S.} and Elias, {Daniel C.}",

note = "102JW Times Cited:0 Cited References Count:34",

year = "2013",

month = feb,

day = "26",

doi = "10.1073/pnas.1300599110",

language = "English",

volume = "110",

pages = "3282--3286",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

issn = "0027-8424",

publisher = "National Academy of Sciences",

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Yu, GL, Jalil, R, Belle, B, Mayorov, AS, Blake, P, Schedin, F, Morozov, SV, Ponomarenko, LA, Chiappini, F, Wiedmann, S, Zeitler, U, Katsnelson, MI, Geim, AK, Novoselov, KS & Elias, DC 2013, 'Interaction phenomena in graphene seen through quantum capacitance', Proceedings of the National Academy of Sciences of the United States of America, vol. 110, no. 9, pp. 3282-3286. https://doi.org/10.1073/pnas.1300599110

TY - JOUR

T1 - Interaction phenomena in graphene seen through quantum capacitance

AU - Yu, G. L.

AU - Jalil, R.

AU - Belle, Branson

AU - Mayorov, Alexander S.

AU - Blake, Peter

AU - Schedin, Frederick

AU - Morozov, Sergey V.

AU - Ponomarenko, Leonid A.

AU - Chiappini, F.

AU - Wiedmann, S.

AU - Zeitler, Uli

AU - Katsnelson, Mikhail I.

AU - Geim, A. K.

AU - Novoselov, Kostya S.

AU - Elias, Daniel C.

N1 - 102JW Times Cited:0 Cited References Count:34

PY - 2013/2/26

Y1 - 2013/2/26

N2 - Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use large-area high-quality graphene capacitors to study behavior of the density of states in this material in zero and high magnetic fields. Clear renormalization of the linear spectrum due to electron-electron interactions is observed in zero field. Quantizing fields lead to splitting of the spin- and valley-degenerate Landau levels into quartets separated by interaction-enhanced energy gaps. These many-body states exhibit negative compressibility but the compressibility returns to positive in ultrahigh B. The reentrant behavior is attributed to a competition between field-enhanced interactions and nascent fractional states.

AB - Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use large-area high-quality graphene capacitors to study behavior of the density of states in this material in zero and high magnetic fields. Clear renormalization of the linear spectrum due to electron-electron interactions is observed in zero field. Quantizing fields lead to splitting of the spin- and valley-degenerate Landau levels into quartets separated by interaction-enhanced energy gaps. These many-body states exhibit negative compressibility but the compressibility returns to positive in ultrahigh B. The reentrant behavior is attributed to a competition between field-enhanced interactions and nascent fractional states.

KW - 2D based heterostructures

KW - Boron nitride

KW - Fermi velocity-renormalization

U2 - 10.1073/pnas.1300599110

DO - 10.1073/pnas.1300599110

M3 - Article

SN - 0027-8424

VL - 110

SP - 3282

EP - 3286

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 9

ER -

Interaction phenomena in graphene seen through quantum capacitance

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Keywords

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