Kennes, D. M. et al. Moiré heterostructures as a condensed-matter quantum simulator. Nat. Phys. 17, 155–163 (2021). This review discusses using the tunability of moiré heterostructures to experimentally simulate different fundamental many-body quantum models in condensed matter.
He, F. et al. Moiré patterns in 2D materials: a review. ACS Nano 15, 5944–5958 (2021).
Article CAS PubMed Google Scholar
Mounet, N. et al. Two-dimensional materials from high-throughput computational exfoliation of experimentally known compounds. Nat. Nanotechnol. 13, 246–252 (2018). This theoretical study identifies possible 2D materials.
Article CAS PubMed Google Scholar
Geim, A. K. & Grigorieva, I. V. Van der Waals heterostructures. Nature 499, 419–425 (2013). This review provides an early overview of 2D materials research.
Article CAS PubMed Google Scholar
Novoselov, K. S., Mishchenko, A., Carvalho, A. & Neto, A. H. C. 2D materials and van der Waals heterostructures. Science 353, aac9439 (2016). This review provides an overview of the emerging 2D materials research.
Article CAS PubMed Google Scholar
Liu, Y. et al. Van der Waals heterostructures and devices. Nat. Rev. Mater. 1, 16042 (2016).
Andrei, E. Y. & MacDonald, A. H. Graphene bilayers with a twist. Nat. Mater. 19, 1265–1275 (2020).
Article CAS PubMed Google Scholar
Andrei, E. Y. et al. The marvels of moiré materials. Nat. Rev. Mater. 6, 201–206 (2021).
Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80–84 (2018). This paper provides the first experimental demonstration of a correlated insulator arising in a moiré superlattice.
Article CAS PubMed Google Scholar
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018). This paper reports the first observation of superconductivity in flat bands of a moiré superlattice.
Article CAS PubMed Google Scholar
Serlin, M. et al. Intrinsic quantized anomalous Hall effect in a moiré heterostructure. Science 367, 900–903 (2020). This paper reports the observation of the quantized anomalous Hall effect in a moiré superlattice.
Article CAS PubMed Google Scholar
Sharpe, A. L. et al. Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene. Science 365, 605–608 (2019). This paper reports the observation of the anomalous Hall effect in a moiré superlattice.
Article CAS PubMed Google Scholar
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010). This review covers the different mechanisms responsible for the anomalous Hall effect observed in non-moiré materials.
von Klitzing, K. The quantized Hall effect. Rev. Mod. Phys. 58, 519–531 (1986). This review discusses the quantum Hall effect.
Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010). This review provides a pedagogical introduction to Berry physics and its experimental effects.
Gao, A. et al. Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure. Science 381, 181–186 (2023).
Article CAS PubMed Google Scholar
Wang, N. et al. Quantum metric-induced nonlinear transport in a topological antiferromagnet. Nature 621, 487–492 (2023).
Article CAS PubMed Google Scholar
Liu, J., Ma, Z., Gao, J. & Dai, X. Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems. Phys. Rev. X 9, 031021 (2019).
Sodemann, I. & Fu, L. Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials. Phys. Rev. Lett. 115, 216806 (2015). This paper theoretically proposes second-harmonic Hall voltage generation owing to the Berry curvature dipole.
Sinha, S. et al. Berry curvature dipole senses topological transition in a moiré superlattice. Nat. Phys. 18, 765–770 (2022). This paper reports the experimental detection of a topological transition in a moiré material, probed using the Berry curvature dipole.
Bhalla, P., Das, K., Culcer, D. & Agarwal, A. Resonant second-harmonic generation as a probe of quantum geometry. Phys. Rev. Lett. 129, 227401 (2022).
Article CAS PubMed Google Scholar
Ahn, J., Guo, G.-Y., Nagaosa, N. & Vishwanath, A. Riemannian geometry of resonant optical responses. Nat. Phys. 18, 290–295 (2022).
Chang, C.-Z., Liu, C.-X. & MacDonald, A. H. Colloquium: quantum anomalous Hall effect. Rev. Mod. Phys. 95, 011002 (2023).
Jungwirth, T., Niu, Q. & MacDonald, A. H. Anomalous Hall effect in ferromagnetic semiconductors. Phys. Rev. Lett. 88, 207208 (2002).
Article CAS PubMed Google Scholar
Ren, Y., Qiao, Z. & Niu, Q. Topological phases in two-dimensional materials: a review. Rep. Prog. Phys. 79, 066501 (2016).
Vanderbilt, D. Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators (Cambridge Univ. Press, 2018).
Bernevig, B. A. Topological Insulators and Topological Superconductors (Princeton Univ. Press, 2013).
Yankowitz, M. et al. Emergence of superlattice Dirac points in graphene on hexagonal boron nitride. Nat. Phys. 8, 382–386 (2012).
Xiao, D., Yao, W. & Niu, Q. Valley-contrasting physics in graphene: magnetic moment and topological transport. Phys. Rev. Lett. 99, 236809 (2007). This paper presents a theoretical study of the Berry phase inducing a valley-dependent Hall transport.
Sinha, S. et al. Bulk valley transport and Berry curvature spreading at the edge of flat bands. Nat. Commun. 11, 5548 (2020).
Article CAS PubMed PubMed Central Google Scholar
Song, J. C. W., Samutpraphoot, P. & Levitov, L. S. Topological Bloch bands in graphene superlattices. Proc. Natl Acad. Sci. USA 112, 10879–10883 (2015). This theoretical study highlights that moiré bands can be topological.
Article CAS PubMed PubMed Central Google Scholar
Wolf, T. M. R., Zilberberg, O., Levkivskyi, I. & Blatter, G. Substrate-induced topological minibands in graphene. Phys. Rev. B 98, 125408 (2018).
Zhang, Y.-H., Mao, D., Cao, Y., Jarillo-Herrero, P. & Senthil, T. Nearly flat Chern bands in moiré superlattices. Phys. Rev. B 99, 075127 (2019).
Chittari, B. L., Chen, G., Zhang, Y., Wang, F. & Jung, J. Gate-tunable topological flat bands in trilayer graphene boron-nitride moiré superlattices. Phys. Rev. Lett. 122, 016401 (2019).
Article CAS PubMed Google Scholar
Zhang, S., Dai, X. & Liu, J. Spin-polarized nematic order, quantum valley Hall states, and field-tunable topological transitions in twisted multilayer graphene systems. Phys. Rev. Lett. 128, 026403 (2022).
Article CAS PubMed Google Scholar
Chen, G. et al. Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice. Nature 579, 56–61 (2020).
Article CAS PubMed Google Scholar
Zhu, J., Su, J.-J. & MacDonald, A. Voltage-controlled magnetic reversal in orbital Chern insulators. Phys. Rev. Lett. 125, 227702 (2020).
Article CAS PubMed Google Scholar
Polshyn, H. et al. Electrical switching of magnetic order in an orbital Chern insulator. Nature 588, 66–70 (2020).
Article CAS PubMed Google Scholar
Adak, P. C. et al. Perpendicular electric field drives Chern transitions and layer polarization changes in Hofstadter bands. Nat. Commun. 13, 7781 (2022).
Article CAS PubMed PubMed Central Google Scholar
Hao, Z. et al. Electric field-tunable superconductivity in alternating-twist magic-angle trilayer graphene. Science 371, 1133–1138 (2021).
Article CAS PubMed Google Scholar
Mannaï, M., Fuchs, J.-N., Piéchon, F. & Haddad, S. Stacking-induced Chern insulator. Phys. Rev. B 107, 045117 (2023).
Stauber, T., Low, T. & Gómez-Santos, G. Chiral response of twisted bilayer graphene. Phys. Rev. Lett. 120, 046801 (2018).
Article CAS PubMed Google Scholar
Crosse, J. A., Nakatsuji, N., Koshino, M. & Moon, P. Hofstadter butterfly and the quantum Hall effect in twisted double bilayer graphene. Phys. Rev. B 102, 035421 (2020).
留言 (0)