Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80 (2018).
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43 (2018).
Bistritzer, R. & MacDonald, A. H. Moiré bands in twisted double-layer graphene. Proc. Natl Acad. Sci. USA 108, 12233 (2011).
Andrei, E. Y. et al. The marvels of moiré materials. Nat. Rev. Mater. 6, 201 (2021).
Lau, C. N., Bockrath, M. W., Mak, K. F. & Zhang, F. Reproducibility in the fabrication and physics of moiré materials. Nature 602, 41 (2022).
Wu, F., MacDonald, A. H. & Martin, I. Theory of phonon-mediated superconductivity in twisted bilayer graphene. Phys. Rev. Lett. 121, 257001 (2018).
Cea, T. & Guinea, F. Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene. Proc. Natl Acad. Sci. USA 118, e2107874118 (2021).
Choi, Y. W. & Choi, H. J. Strong electron–phonon coupling, electron–hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene. Phys. Rev. B 98, 241412 (2018).
Lian, B., Wang, Z. & Bernevig, B. A. Twisted bilayer graphene: a phonon-driven superconductor. Phys. Rev. Lett. 122, 257002 (2019).
Wu, F., Hwang, E. & Das Sarma, S. Phonon-induced giant linear-in-T resistivity in magic angle twisted bilayer graphene: ordinary strangeness and exotic superconductivity. Phys. Rev. B 99, 165112 (2019).
Isobe, H., Yuan, N. F. Q. & Fu, L. Unconventional superconductivity and density waves in twisted bilayer graphene. Phys. Rev. X 8, 041041 (2018).
González, J. & Stauber, T. Kohn–Luttinger superconductivity in twisted bilayer graphene. Phys. Rev. Lett. 122, 026801 (2019).
Kozii, V., Zaletel, M. P. & Bultinck, N. Spin-triplet superconductivity from intervalley Goldstone modes in magic-angle graphene. Phys. Rev. B 106, 235157 (2022).
Roy, B. & Juričić, V. Unconventional superconductivity in nearly flat bands in twisted bilayer graphene. Phys. Rev. B 99, 121407 (2019).
Goodwin, Z. A. H., Corsetti, F., Mostofi, A. A. & Lischner, J. Attractive electron–electron interactions from internal screening in magic-angle twisted bilayer graphene. Phys. Rev. B 100, 235424 (2019).
Khalaf, E., Chatterjee, S., Bultinck, N., Zaletel, M. P. & Vishwanath, A. Charged skyrmions and topological origin of superconductivity in magic-angle graphene. Sci. Adv. 7, eabf5299 (2021).
Qin, W., Zou, B. & MacDonald, A. H. Critical magnetic fields and electron pairing in magic-angle twisted bilayer graphene. Phys. Rev. B 107, 024509 (2023).
Sharma, G., Trushin, M., Sushkov, O. P., Vignale, G. & Adam, S. Superconductivity from collective excitations in magic-angle twisted bilayer graphene. Phys. Rev. Res. 2, 022040 (2020).
Lewandowski, C., Chowdhury, D. & Ruhman, J. Pairing in magic-angle twisted bilayer graphene: role of phonon and plasmon umklapp. Phys. Rev. B 103, 235401 (2021).
Peng, L., Yudhistira, I., Vignale, G. & Adam, S. Theoretical determination of the effect of a screening gate on plasmon-induced superconductivity in twisted bilayer graphene. Phys. Rev. B 109, 045404 (2024).
Pizarro, J. M., Rösner, M., Thomale, R., Valentí, R. & Wehling, T. O. Internal screening and dielectric engineering in magic-angle twisted bilayer graphene. Phys. Rev. B 100, 161102 (2019).
Das Sarma, S. & Wu, F. Electron–phonon and electron–electron interaction effects in twisted bilayer graphene. Ann. Phys. 417, 168193 (2020).
Min, H., Hwang, E. H. & Das Sarma, S. Chirality-dependent phonon-limited resistivity in multiple layers of graphene. Phys. Rev. B 83, 161404 (2011).
Wang, Y.-J., Zhou, G.-D., Peng, S.-Y., Lian, B. & Song, Z.-D. Molecular pairing in twisted bilayer graphene superconductivity. Phys. Rev. Lett. 133, 146001 (2024).
Das Sarma, S., Sau, J. D., Tu, Y.-T. & Wang, S. Conventional and practical metallic superconductivity arising from repulsive coulomb coupling. Preprint at http://arxiv.org/abs/2511.00625 (2025).
Chou, Y.-Z., Wu, F., Sau, J. D. & Das Sarma, S. Correlation-induced triplet pairing superconductivity in graphene-based moiré systems. Phys. Rev. Lett. 127, 217001 (2021).
Stepanov, P. et al. Untying the insulating and superconducting orders in magic-angle graphene. Nature 583, 375 (2020).
Saito, Y., Ge, J., Watanabe, K., Taniguchi, T. & Young, A. F. Independent superconductors and correlated insulators in twisted bilayer graphene. Nat. Phys. 16, 926 (2020).
Liu, X. et al. Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening. Science 371, 1261 (2021).
Müller, K. A. & Burkard, H. SrTiO3: an intrinsic quantum paraelectric below 4 K. Phys. Rev. B 19, 3593 (1979).
Veyrat, L. et al. Helical quantum Hall phase in graphene on SrTiO3. Science 367, 781 (2020).
Hemberger, J., Lunkenheimer, P., Viana, R., Böhmer, R. & Loidl, A. Electric-field-dependent dielectric constant and nonlinear susceptibility in SrTiO3. Phys. Rev. B 52, 13159 (1995).
Ang, C., Bhalla, A. S., Guo, R. & Cross, L. E. Dielectric loss of SrTiO3 single crystals under direct current bias. Appl. Phys. Lett. 76, 1929 (2000).
Jimeno-Pozo, A. et al. Short versus long range exchange interactions in twisted bilayer graphene. Adv. Phys. Res. 2, 2300048 (2023).
Yankowitz, M. et al. Tuning superconductivity in twisted bilayer graphene. Science 363, 1059 (2019).
Dutta, R. et al. Electric field-tunable superconductivity with competing orders in twisted bilayer graphene near the magic angle. ACS Nano 19, 5353 (2025).
Tian, H. et al. Dominant 1/3-filling correlated insulator states and orbital geometric frustration in twisted bilayer graphene. Nat. Phys. 20, 1407 (2024).
Phong, V. T., Pantaleón, P. A., Cea, T. & Guinea, F. Band structure and superconductivity in twisted trilayer graphene. Phys. Rev. B 104, L121116 (2021).
Cea, T. Superconductivity induced by the intervalley Coulomb scattering in a few layers of graphene. Phys. Rev. B 107, L041111 (2023).
Jimeno-Pozo, A., Sainz-Cruz, H., Cea, T., Pantaleón, P. A. & Guinea, F. Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene. Phys. Rev. B 107, L161106 (2023).
Li, Z. et al. Charge fluctuations, phonons, and superconductivity in multilayer graphene. Phys. Rev. B 108, 045404 (2023).
Long, M., Jimeno-Pozo, A., Sainz-Cruz, H., Pantaleón, P. A. & Guinea, F. Evolution of superconductivity in twisted graphene multilayers. Proc. Natl Acad. Sci. USA 121, e2405259121 (2024).
Zhu, Z. & Devereaux, T. P. Microscopic theory for electron–phonon coupling in twisted bilayer graphene. Phys. Rev. B 113, 035446 (2026).
Barrier, J. et al. Coulomb screening of superconductivity in magic-angle twisted bilayer graphene. Preprint at http://arxiv.org/abs/2412.01577 (2024).
Zhu, M. J. et al. Edge currents shunt the insulating bulk in gapped graphene. Nat. Commun. 8, 14552 (2017).
Cea, T., Pantaleón, P. A., Walet, N. R. & Guinea, F. Electrostatic interactions in twisted bilayer graphene. Nano Mater. Sci. 4, 27–35 (2022).
Tilak, N. et al. Flat band carrier confinement in magic-angle twisted bilayer graphene. Nat. Commun. 12, 4180 (2021).