journal article·2012-03Open access

Transport spectroscopy of symmetry-broken insulating states in bilayer graphene

J. Velasco, L. Jing, W. Bao, Y. Lee, P. Kratz, V. Aji, M. Bockrath, C. N. Lau, C. Varma, R. Stillwell, D. Smirnov, Fan Zhang, J. Jung, A. H. MacDonald

Nature Nanotechnology· Volume 7· Issue 3

Abstract

Bilayer graphene is an attractive platform for studying new two-dimensional electron physics, because its flat energy bands are sensitive to out-of-plane electric fields and these bands magnify electron-electron interaction effects. Theory predicts a variety of interesting broken symmetry states when the electron density is at the carrier neutrality point, and some of these states are characterized by spontaneous mass gaps, which lead to insulating behaviour. These proposed gaps are analogous to the masses generated by broken symmetries in particle physics, and they give rise to large Berry phase effects accompanied by spontaneous quantum Hall effects. Although recent experiments have provided evidence for strong electronic correlations near the charge neutrality point, the presence of gaps remains controversial. Here, we report transport measurements in ultraclean double-gated bilayer graphene and use source-drain bias as a spectroscopic tool to resolve a gap of ∼2 meV at the charge neutrality point. The gap can be closed by a perpendicular electric field of strength ∼15 mV nm(-1), but it increases monotonically with magnetic field, with an apparent particle-hole asymmetry above the gap. These data represent the first spectroscopic mapping of the ground states in bilayer graphene in the presence of both electric and magnetic fields.
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Research context

OpenAlex topics: Graphene research and applications · Quantum and electron transport phenomena · Topological Materials and Phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (40)

Show source-provided references
1. Zhang, Y. B., Tan, Y. W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201–204 (2005).10.1038/nature04235 ↗
2. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005).10.1038/nature04233 ↗
3. Novoselov, K. S. et al. Electric field effect in atomically thin carbon films. Science 306, 666–669 (2004).10.1126/science.1102896 ↗
4. McCann, E. & Fal'ko, V. I. Landau-level degeneracy and quantum Hall effect in a graphite bilayer. Phys. Rev. Lett. 96, 086805 (2006).10.1103/PhysRevLett.96.086805 ↗
5. Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009).10.1103/RevModPhys.81.109 ↗
6. Min, H., Borghi, G., Polini, M. & MacDonald, A. H. Pseudospin magnetism in graphene. Phys. Rev. B 77, 041407 (2008).10.1103/PhysRevB.77.041407 ↗
7. Nandkishore, R. & Levitov, L. Quantum anomalous Hall state in bilayer graphene. Phys. Rev. B 82, 115124 (2010).10.1103/PhysRevB.82.115124 ↗
8. Zhang, F., Jung, J., Fiete, G. A., Niu, Q. A. & MacDonald, A. H. Spontaneous quantum Hall states in chirally stacked few-layer graphene systems. Phys. Rev. Lett. 106, 156801 (2011).10.1103/PhysRevLett.106.156801 ↗
9. Jung, J., Zhang, F. & MacDonald, A. H. Lattice theory of pseudospin ferromagnetism in bilayer graphene: competing interaction-induced quantum Hall states. Phys. Rev. B 83, 115408 (2011).10.1103/PhysRevB.83.115408 ↗
10. Zhang, F., Min, H., Polini, M. & MacDonald, A. H. Spontaneous inversion symmetry breaking in graphene bilayers. Phys. Rev. B 81, 041402 (R) (2010).10.1103/PhysRevB.81.041402 ↗
11. Lemonik, Y., Aleiner, I. L., Toke, C. & Fal'ko, V. I. Spontaneous symmetry breaking and Lifshitz transition in bilayer graphene. Phys. Rev. B 82, 201408 (2010).10.1103/PhysRevB.82.201408 ↗
12. Vafek, O. & Yang, K. Many-body instability of Coulomb interacting bilayer graphene: renormalization group approach. Phys. Rev. B 81, 041401 (2010).10.1103/PhysRevB.81.041401 ↗
13. Castro, E. V., Peres, N. M. R., Stauber, T. & Silva, N. A. P. Low-density ferromagnetism in biased bilayer graphene. Phys. Rev. Lett. 100, 186803 (2008).10.1103/PhysRevLett.100.186803 ↗
14. Martin, I., Blanter, Y. M. & Morpurgo, A. F. Topological confinement in bilayer graphene. Phys. Rev. Lett. 100, 036804 (2008).10.1103/PhysRevLett.100.036804 ↗
15. Kharitonov, M. Canted antiferromagnetic phase of the ν = 0 quantum Hall state in bilayer graphene. Preprint at arXiv:1105.5386v1101 (2011).10.1103/PhysRevLett.109.046803 ↗
16. Zhang, F. & MacDonald, A. H. Distinguishing spontaneous quantum Hall states in graphene bilayers. Preprint at arXiv:1107.4727v1101 (2011).10.1103/PhysRevLett.108.186804 ↗
17. Gorbar, E. V., Gusynin, V. P. & Miransky, V. A. Dynamics and phase diagram of the ν = 0 quantum Hall state in bilayer graphene. Phys. Rev. B 81, 155451 (2010).10.1103/PhysRevB.81.155451 ↗
18. Herbut, I. F., Juricic, V. & Vafek, O. Relativistic Mott criticality in graphene. Phys. Rev. B 80, 075432 (2009).10.1103/PhysRevB.80.075432 ↗
19. Xiao, D., Chang, M. C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010).10.1103/RevModPhys.82.1959 ↗
20. Vafek, O. Interacting fermions on the honeycomb bilayer: from weak to strong coupling. Phys. Rev. B 82, 205106 (2010).10.1103/PhysRevB.82.205106 ↗
21. Martin, J., Feldman, B. E., Weitz, R. T., Allen, M. T. & Yacoby, A. Local compressibility measurements of correlated states in suspended bilayer graphene. Phys. Rev. Lett. 105, 256806 (2010).10.1103/PhysRevLett.105.256806 ↗
22. Weitz, R. T., Allen, M. T., Feldman, B. E., Martin, J. & Yacoby, A. Broken-symmetry states in doubly gated suspended bilayer graphene. Science 330, 812–816 (2010).10.1126/science.1194988 ↗
23. Bao, W. et al. Stacking-dependent band gap and quantum transport in trilayer graphene. Nature Phys. 7, 948–952 (2011).10.1038/nphys2103 ↗
24. Freitag, F., Trbovic, J., Weiss, M. & Schonenberger, C. Spontaneously gapped ground state in suspended bilayer graphene. Preprint at arXiv:1104.3816vs (2011).10.1103/PhysRevLett.108.076602 ↗
25. Mayorov, A. S. et al. Interaction-driven spectrum reconstruction in bilayer graphene. Science 333, 860–863 (2011).10.1126/science.1208683 ↗
26. Min, H. K., Sahu, B., Banerjee, S. K. & MacDonald, A. H. Ab initio theory of gate induced gaps in graphene bilayers. Phys. Rev. B 75, 155115 (2007).10.1103/PhysRevB.75.155115 ↗
27. Ohta, T., Bostwick, A., Seyller, T., Horn, K. & Rotenberg, E. Controlling the electronic structure of bilayer graphene. Science 313, 951–954 (2006).10.1126/science.1130681 ↗
28. Barlas, Y., Cote, R., Nomura, K. & MacDonald, A. H. Intra-Landau-level cyclotron resonance in bilayer graphene. Phys. Rev. Lett. 101, 097601 (2008).10.1103/PhysRevLett.101.097601 ↗
29. Zhao, Y., Cadden-Zimansky, P., Jiang, Z. & Kim, P. Symmetry breaking in the zero-energy Landau level in bilayer graphene. Phys. Rev. Lett. 104, 066801 (2010).10.1103/PhysRevLett.104.066801 ↗
30. Feldman, B. E., Martin, J. & Yacoby, A. Broken-symmetry states and divergent resistance in suspended bilayer graphene. Phys. Status Solidi B 5, 889–893 (2009).
31. Bao, W. et al. Magnetoconductance oscillations and evidence for fractional quantum Hall states in suspended bilayer and trilayer graphene. Phys. Rev. Lett. 105, 246601 (2010).10.1103/PhysRevLett.105.246601 ↗
32. Mucha-Kruczynski, M., Aleiner, I. L. & Fal'ko, V. I. Strained bilayer graphene: band structure topology and Landau level spectrum. Phys. Rev. B 84, 041404(R) (2011).10.1103/PhysRevB.84.041404 ↗
33. Haldane, F. D. M. Model for a quantum Hall-effect without landau-levels—condensed-matter realization of the parity anomaly. Phys. Rev. Lett. 61, 2015–2018 (1988).10.1103/PhysRevLett.61.2015 ↗
34. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010).10.1103/RevModPhys.82.1539 ↗
35. Kane, C. L. & Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).10.1103/PhysRevLett.95.226801 ↗
36. Konig, M. et al. Quantum spin Hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007).10.1126/science.1148047 ↗
37. Raghu, S., Qi, X. L., Honerkamp, C. & Zhang, S. C. Topological Mott insulators. Phys. Rev. Lett. 100, 156401 (2008).10.1103/PhysRevLett.100.156401 ↗
38. Henriksen, E. A. et al. Cyclotron resonance in bilayer graphene. Phys. Rev. Lett. 100, 087403 (2008).10.1103/PhysRevLett.100.087403 ↗
39. Castro, E. V., Peres, N. M. R. & dos Santos, J. M. B. L. Gaped graphene bilayer: disorder and magnetic field effects. Phys. Stat. Sol. B 244, 2311–2316 (2007).10.1002/pssb.200674604 ↗
40. Borghi, G., Polini, M., Asgari, R. & MacDonald, A. H. Fermi velocity enhancement in monolayer and bilayer graphene. Solid State Commun. 149, 1117–1122 (2009).10.1016/j.ssc.2009.02.053 ↗