journal article·2019-03-08Open access

Large intravalley scattering due to pseudo-magnetic fields in crumpled graphene

Péter Kun, Gergő Kukucska, Gergely Dobrik, János Koltai, Jenő Kürti, László Péter Biró, Levente Tapasztó, Péter Nemes-Incze

Abstract

Abstract The pseudo-magnetic field generated by mechanical strain in graphene can have dramatic consequences on the behavior of electrons and holes. Here we show that pseudo-magnetic field fluctuations present in crumpled graphene can induce significant intravalley scattering of charge carriers. We detect this by measuring the confocal Raman spectra of crumpled areas, where we observe an increase of the D′/D peak intensity ratio by up to a factor of 300. We reproduce our observations by numerical calculation of the double resonant Raman spectra and interpret the results as experimental evidence of the phase shift suffered by Dirac charge carriers in the presence of a pseudo-magnetic field. This lifts the restriction on complete intravalley backscattering of Dirac fermions.
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Research context

OpenAlex topics: Graphene research and applications · Advanced Materials and Mechanics · Topological Materials and Phenomena

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References (61)

Show source-provided references
1. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005).10.1038/nature04233 ↗
2. Zhang, Y., 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 ↗
3. Konig, M. et al. Quantum spin hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007).10.1126/science.1148047 ↗
4. Hsieh, D. et al. A topological Dirac insulator in a quantum spin Hall phase. Nature 452, 970–974 (2008).10.1038/nature06843 ↗
5. Beenakker, C. W. J. Colloquium: Andreev reflection and Klein tunneling in graphene. Rev. Mod. Phys. 80, 1337–1354 (2008).10.1103/RevModPhys.80.1337 ↗
6. Xu, X., Yao, W., Xiao, D. & Heinz, T. F. Spin and pseudospins in layered transition metal dichalcogenides. Nat. Phys. 10, 343–350 (2014).10.1038/nphys2942 ↗
7. Tikhonenko, F. V., Kozikov, A. A., Savchenko, A. K. & Gorbachev, R. V. Transition between electron localization and antilocalization in graphene. Phys. Rev. Lett. 103, 226801 (2009).10.1103/PhysRevLett.103.226801 ↗
8. Rickhaus, P. et al. Guiding of electrons in a few-mode ballistic graphene channel. Nano Lett. 15, 5819–5825 (2015).10.1021/acs.nanolett.5b01877 ↗
9. Ando, T., Nakanishi, T. & Saito, R. Berry’s phase and absence of back scattering in carbon nanotubes. J. Phys. Soc. Jpn 67, 2857–2862 (1998).10.1143/JPSJ.67.2857 ↗
10. McEuen, P. L., Bockrath, M., Cobden, D. H., Yoon, Y.-G. & Louie, S. G. Disorder, pseudospins, and backscattering in carbon nanotubes. Phys. Rev. Lett. 83, 5098–5101 (1999).10.1103/PhysRevLett.83.5098 ↗
11. Banszerus, L. et al. Ballistic transport exceeding 28 μm in CVD grown graphene. Nano Lett. 16, 1387–1391 (2016).10.1021/acs.nanolett.5b04840 ↗
12. Eckmann, A. et al. Probing the nature of defects in graphene by Raman spectroscopy. Nano Lett. 12, 3925–3930 (2012).10.1021/nl300901a ↗
13. Georgi, A. et al. Tuning the pseudospin polarization of graphene by a pseudomagnetic field. Nano Lett. 17, 2240–2245 (2017).10.1021/acs.nanolett.6b04870 ↗
14. Sasaki, K.-I. & Saito, R. Pseudospin and deformation-induced Gauge field in graphene. Prog. Theor. Phys. Suppl. 176, 253–278 (2008).10.1143/PTPS.176.253 ↗
15. Kane, C. L. & Mele, E. J. Size, shape, and low energy electronic structure of carbon nanotubes. Phys. Rev. Lett. 78, 1932 (1997).10.1103/PhysRevLett.78.1932 ↗
16. Suzuura, H. & Ando, T. Phonons and electron-phonon scattering in carbon nanotubes. Phys. Rev. B 65, 235412 (2002).10.1103/PhysRevB.65.235412 ↗
17. Kim, E.-A. & Castro Neto, A. H. Graphene as an electronic membrane. EPL 84, 57007 (2008).10.1209/0295-5075/84/57007 ↗
18. Vozmediano, M., Katsnelson, M. & Guinea, F. Gauge fields in graphene. Phys. Rep. 496, 109–148 (2010).10.1016/j.physrep.2010.07.003 ↗
19. Cazalilla, M. A., Ochoa, H. & Guinea, F. Quantum spin hall effect in two-dimensional crystals of transition-metal dichalcogenides. Phys. Rev. Lett. 113, 077201 (2014).10.1103/PhysRevLett.113.077201 ↗
20. Leconte, N. et al. Graphene bubbles and their role in graphene quantum transport. Nanoscale 9, 6041–6047 (2017).10.1039/C7NR00339K ↗
21. Couto, N. J. G. et al. Random strain fluctuations as dominant disorder source for high-quality on-substrate graphene devices. Phys. Rev. X 4, 041019 (2014).
22. Casiraghi, C., Pisana, S., Novoselov, K. S., Geim, A. K. & Ferrari, A. C. Raman fingerprint of charged impurities in graphene. Appl. Phys. Lett. 91, 233108 (2007).10.1063/1.2818692 ↗
23. Gibertini, M., Tomadin, A., Guinea, F., Katsnelson, M. I. & Polini, M. Electron-hole puddles in the absence of charged impurities. Phys. Rev. B 85, 201405 (2012).10.1103/PhysRevB.85.201405 ↗
24. Samaddar, S., Yudhistira, I., Adam, S., Courtois, H. & Winkelmann, C. B. Charge puddles in graphene near the dirac point. Phys. Rev. Lett. 116, 126804 (2016).10.1103/PhysRevLett.116.126804 ↗
25. Morozov, S. V. et al. Strong suppression of weak localization in graphene. Phys. Rev. Lett. 97, 016801 (2006).10.1103/PhysRevLett.97.016801 ↗
26. Neumann, C. et al. Raman spectroscopy as probe of nanometre-scale strain variations in graphene. Nat. Commun. 6, 8429 (2015).10.1038/ncomms9429 ↗
27. Mueller, N. S. et al. Evaluating arbitrary strain configurations and doping in graphene with Raman spectroscopy. 2D Mater. 5, 015016 (2017).10.1088/2053-1583/aa90b3 ↗
28. Venezuela, P., Lazzeri, M. & Mauri, F. Theory of double-resonant Raman spectra in graphene: intensity and line shape of defect-induced and two-phonon bands. Phys. Rev. B 84, 035433 (2011).10.1103/PhysRevB.84.035433 ↗
29. Rodriguez-Nieva, J. F., Barros, E. B., Saito, R. & Dresselhaus, M. S. Disorder-induced double resonant Raman process in graphene. Phys. Rev. B 90, 235410 (2014).10.1103/PhysRevB.90.235410 ↗
30. Maultzsch, J., Reich, S. & Thomsen, C. Double-resonant Raman scattering in graphite: Interference effects, selection rules, and phonon dispersion. Phys. Rev. B 70, 155403 (2004).10.1103/PhysRevB.70.155403 ↗
31. Malard, L., Pimenta, M., Dresselhaus, G. & Dresselhaus, M. S. Raman spectroscopy in graphene. Phys. Rep. 473, 51–87 (2009).10.1016/j.physrep.2009.02.003 ↗
32. Pimenta, M. A. et al. Studying disorder in graphite-based systems by Raman spectroscopy. Phys. Chem. Chem. Phys. 9, 1276–1291 (2007).10.1039/B613962K ↗
33. Eckmann, A. et al. Raman fingerprint of aligned graphene/h-BN superlattices. Nano. Lett. 13, 5242 (2013).10.1021/nl402679b ↗
34. Lu, C.-C. et al. Twisting bilayer graphene superlattices. ACS Nano 7, 2587–2594 (2013).10.1021/nn3059828 ↗
35. Carozo, V. et al. Raman signature of graphene superlattices. Nano Lett. 11, 4527–4534 (2011).10.1021/nl201370m ↗
36. Carozo, V. et al. Resonance effects on the Raman spectra of graphene superlattices. Phys. Rev. B 88, 085401 (2013).10.1103/PhysRevB.88.085401 ↗
37. Pacakova, B. et al. Mastering the wrinkling of self-supported graphene. Sci. Rep. 7, 10003 (2017).10.1038/s41598-017-10153-z ↗
38. Vejpravova, J. et al. Graphene wrinkling induced by monodisperse nanoparticles: facile control and quantification. Sci. Rep. 5, 15061 (2015).10.1038/srep15061 ↗
39. Androulidakis, C. et al. Wrinkled few-layer graphene as highly efficient load bearer. ACS Appl. Mater. Interfaces 9, 26593–26601 (2017).10.1021/acsami.7b07547 ↗
40. Kürti, J., Zólyomi, V., Grüneis, A. & Kuzmany, H. Double resonant Raman phenomena enhanced by van Hove singularities in single-wall carbon nanotubes. Phys. Rev. B 65, 165433 (2002).10.1103/PhysRevB.65.165433 ↗
41. Plimpton, S. Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995).10.1006/jcph.1995.1039 ↗
42. Vliegenthart, G. A. & Gompper, G. Forced crumpling of self-avoiding elastic sheets. Nat. Mater. 5, 216–221 (2006).10.1038/nmat1581 ↗
43. de Juan, F., Cortijo, A. & Vozmediano, M. Charge inhomogeneities due to smooth ripples in graphene sheets. Phys. Rev. B 76, 165409 (2007).10.1103/PhysRevB.76.165409 ↗
44. Arias, E., Hernández, A. R. & Lewenkopf, C. Gauge fields in graphene with nonuniform elastic deformations: a quantum field theory approach. Phys. Rev. B 92, 245110 (2015).10.1103/PhysRevB.92.245110 ↗
45. Ochoa, H., Zarzuela, R. & Tserkovnyak, Y. Emergent gauge fields from curvature in single layers of transition-metal dichalcogenides. Phys. Rev. Lett. 118, 026801 (2017).10.1103/PhysRevLett.118.026801 ↗
46. Castro-Villarreal, P. & Ruiz-Sánchez, R. Pseudomagnetic field in curved graphene. Phys. Rev. B 95, 125432 (2017).10.1103/PhysRevB.95.125432 ↗
47. Guinea, F., Katsnelson, M. I. & Geim, A. K. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering. Nat. Phys. 6, 30–33 (2010).10.1038/nphys1420 ↗
48. Levy, N. et al. Strain-induced pseudo-magnetic fields greater than 300 Tesla in graphene nanobubbles. Science 329, 544–547 (2010).10.1126/science.1191700 ↗
49. Jiang, Y. et al. Visualizing strain-induced pseudomagnetic fields in graphene through an hBN magnifying glass. Nano Lett. 17, 2839–2843 (2017).10.1021/acs.nanolett.6b05228 ↗
50. Barraza-Lopez, S., Pacheco Sanjuan, A. A., Wang, Z. & Vanević, M. Strain-engineering of graphene’s electronic structure beyond continuum elasticity. Solid State Commun. 166, 70–75 (2013).10.1016/j.ssc.2013.05.002 ↗
51. Rainis, D. et al. Gauge fields and interferometry in folded graphene. Phys. Rev. B 83, 165403 (2011).10.1103/PhysRevB.83.165403 ↗
52. Annett, J. & Cross, G. L. W. Self-assembly of graphene ribbons by spontaneous self-tearing and peeling from a substrate. Nature 535, 271–275 (2016).10.1038/nature18304 ↗
53. Carrillo-Bastos, R. et al. Strained fold-assisted transport in graphene systems. Phys. Rev. B 94, 125422 (2016).10.1103/PhysRevB.94.125422 ↗
54. Liu, L.-C. Pseudo-magnetic fields of strongly-curved graphene nanobubbles. Int. J. Mod. Phys. B 32, 1850137 (2018).10.1142/S0217979218501370 ↗
55. Wu, Y. et al. Quantum wires and waveguides formed in graphene by strain. Nano Lett. 18, 64–69 (2018).10.1021/acs.nanolett.7b03167 ↗
56. Wakker, G. M. M., Tiwari, R. P. & Blaauboer, M. Localization and circulating currents in curved graphene devices. Phys. Rev. B 84, 195427 (2011).10.1103/PhysRevB.84.195427 ↗
57. Zhang, D.-B., Seifert, G. & Chang, K. Strain-induced pseudomagnetic fields in twisted graphene nanoribbons. Phys. Rev. Lett. 112, 096805 (2014).10.1103/PhysRevLett.112.096805 ↗
58. Schneider, M., Faria, D., Viola Kusminskiy, S. & Sandler, N. Local sublattice symmetry breaking for graphene with a centrosymmetric deformation. Phys. Rev. B 91, 161407 (2015).10.1103/PhysRevB.91.161407 ↗
59. Rasool, H. I. et al. Conserved atomic bonding sequences and strain organization of graphene grain boundaries. Nano Lett. 14, 7057–7063 (2014).10.1021/nl503450r ↗
60. Wu, Z., Zhai, F., Peeters, F. M., Xu, H. Q. & Chang, K. Valley-dependent Brewster angles and Goos-Hänchen effect in strained graphene. Phys. Rev. Lett. 106, 176802 (2011).10.1103/PhysRevLett.106.176802 ↗
61. Jiang, Y., Low, T., Chang, K., Katsnelson, M. I. & Guinea, F. Generation of pure bulk valley current in graphene. Phys. Rev. Lett. 110, 046601 (2013).10.1103/PhysRevLett.110.046601 ↗