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We demonstrate that the concept of moir\'e flat bands can be generalized to achieve electronic band engineering in all three spatial dimensions.
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1993
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G. Kresse and J. Hafner, Phys. Rev. B 47
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Mit H. Naik and Manish Jain, “Ultraflatbands and shear solitons in moiré patterns of twisted bilayer transition metal dichalcogenides,” Phys. Rev. Lett. 121
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Fengcheng Wu, Timothy Lovorn, Emanuel Tutuc, and A. H. MacDonald, “Hubbard model physics in transition metal dichalcogenide moiré bands,” Phys. Rev. Lett. 121
2018
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Qingjun Tong, Fei Liu, Jiang Xiao, and Wang Yao, “Skyrmions in the moiré of van der waals 2d magnets,” Nano Lett. 18
2018
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2018
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Oded Zilberberg, Sheng Huang, Jonathan Guglielmon, Mohan Wang, Kevin P. Chen, Yaacov E. Kraus, and Mikael C. Rechtsman, “Photonic topological boundary pumping as a probe of 4d quantum hall physics,” Nature 553
2018
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Mattia Angeli, D Mandelli, ANGELO Valli, A Amaricci, M Capone, E Tosatti, and M Fabrizio, “Emergent d 6 symmetry in fully relaxed magic-angle twisted bilayer graphene,” Physical Review B 98
2018
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Haining Pan, Fengcheng Wu, and Sankar Das Sarma, “Band topology, hubbard model, heisenberg model, and dzyaloshinskii-moriya interaction in twisted bilayer wse 2 {\mathrm{wse}}_{2} ,” Phys. Rev. Research 2
2020
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Mengzhou Liao, Zheng Wei, Luojun Du, Qinqin Wang, Jian Tang, Hua Yu, Fanfan Wu, Jiaojiao Zhao, Xiaozhi Xu, Bo Han, et al. , “Precise control of the interlayer twist angle in large scale mos 2 homostructures,” Nature Communications 11
2020
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Yang Zhang, Noah F. Q. Yuan, and Liang Fu, “Moiré quantum chemistry: Charge transfer in transition metal dichalcogenide superlattices,” Phys. Rev. B 102
2020
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Emma C. Regan, Danqing Wang, Chenhao Jin, M. Iqbal Bakti Utama, Beini Gao, Xin Wei, Sihan Zhao, Wenyu Zhao, Zuocheng Zhang, Kentaro Yumigeta, Mark Blei, Johan D. Carlström, Kenji Watanabe, Takashi Taniguchi, Sefaattin Tongay, Michael Crommie, Alex Zettl, and Feng Wang, “Mott and generalized wigner crystal states in wse 2 /ws 2 moiré superlattices,” Nature 579
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2018
Cited alongside, same era.
M. Angeli, D. Mandelli, A. Valli, A. Amaricci, M. Capone, E. Tosatti, and M. Fabrizio, Physical Review B 98
2018
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W. Ouyang, D. Mandelli, M. Urbakh, and O. Hod, Nano letters 18
2018
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Matthew Yankowitz, Shaowen Chen, Hryhoriy Polshyn, Yuxuan Zhang, K. Watanabe, T. Taniguchi, David Graf, Andrea F. Young, and Cory R. Dean, “Tuning superconductivity in twisted bilayer graphene,” Science 363
2019
Cited alongside, same era.
Alexander Kerelsky, Leo J. McGilly, Dante M. Kennes, Lede Xian, Matthew Yankowitz, Shaowen Chen, K. Watanabe, T. Taniguchi, James Hone, Cory Dean, Angel Rubio, and Abhay N. Pasupathy, “Maximized electron interactions at the magic angle in twisted bilayer graphene,” Nature 572
2019
Cited alongside, same era.
G. William Burg, Jihang Zhu, Takashi Taniguchi, Kenji Watanabe, Allan H. MacDonald, and Emanuel Tutuc, “Correlated insulating states in twisted double bilayer graphene,” Phys. Rev. Lett. 123
2019
Cited alongside, same era.
Lede Xian, Dante M. Kennes, Nicolas Tancogne-Dejean, Massimo Altarelli, and Angel Rubio, “Multiflat bands and strong correlations in twisted bilayer boron nitride: Doping-induced correlated insulator and superconductor,” Nano Lett. 19
2019
Cited alongside, same era.
Toshikaze Kariyado and Ashvin Vishwanath, “Flat band in twisted bilayer bravais lattices,” Phys. Rev. Research 1
2019
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2020
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Yanhao Tang, Lizhong Li, Tingxin Li, Yang Xu, Song Liu, Katayun Barmak, Kenji Watanabe, Takashi Taniguchi, Allan H. MacDonald, Jie Shan, and Kin Fai Mak, “Simulation of hubbard model physics in wse 2 /ws 2 moiré superlattices,” Nature 579
2020
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Xing-Ju Zhao, Yang Yang, Dong-Bo Zhang, and Su-Huai Wei, “Formation of bloch flat bands in polar twisted bilayers without magic angles,” Physical Review Letters 124
2020
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Kasra Hejazi, Zhu-Xi Luo, and Leon Balents, “Noncollinear phases in moiré magnets,” Proc. Natl. Acad. Sci. U.S.A. 117
2020
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Dante M Kennes, Lede Xian, M Claassen, and A Rubio, “One-dimensional flat bands in twisted bilayer germanium selenide,” Nat. Commun. 11
2020
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Mingu Kang, Shiang Fang, Linda Ye, Hoi Chun Po, Jonathan Denlinger, Chris Jozwiak, Aaron Bostwick, Eli Rotenberg, Efthimios Kaxiras, Joseph G. Checkelsky, and Riccardo Comin, “Topological flat bands in frustrated kagome lattice cosn,” Nature Communications 11
2020
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Fengcheng Wu, Rui-Xing Zhang, and Sankar Das Sarma, “Three-dimensional topological twistronics,” Phys. Rev. Res. 2
2020
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Stephen Carr, Chenyuan Li, Ziyan Zhu, Efthimios Kaxiras, Subir Sachdev, and Alexander Kruchkov, “Ultraheavy and ultrarelativistic dirac quasiparticles in sandwiched graphenes,” Nano Letters 20
2020
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L. Wang, E.-M. Shih, A. Ghiotto, L. Xian, D. A. Rhodes, C. Tan, M. Claassen, D. M. Kennes, Y. Bai, B. Kim, K. Watanabe, T. Taniguchi, X. Zhu, J. Hone, A. Rubio, A. N. Pasupathy, and C. R. Dean, Nature Materials 19
2020
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Dante M. Kennes, Martin Claassen, Lede Xian, Antoine Georges, Andrew J. Millis, James Hone, Cory R. Dean, D. N. Basov, Abhay N. Pasupathy, and Angel Rubio, “Moiré heterostructures as a condensed-matter quantum simulator,” Nature Physics 17
2021
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2021
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Shaowen Chen, Minhao He, Ya-Hui Zhang, Valerie Hsieh, Zaiyao Fei, K. Watanabe, T. Taniguchi, David H. Cobden, Xiaodong Xu, Cory R. Dean, and Matthew Yankowitz, “Electrically tunable correlated and topological states in twisted monolayer–bilayer graphene,” Nature Physics 17
2021
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Shuigang Xu, Mohammed M. Al Ezzi, Nilanthy Balakrishnan, Aitor Garcia-Ruiz, Bonnie Tsim, Ciaran Mullan, Julien Barrier, Na Xin, Benjamin A. Piot, Takashi Taniguchi, Kenji Watanabe, Alexandra Carvalho, Artem Mishchenko, A. K. Geim, Vladimir I. Fal’ko, Shaffique Adam, Antonio Helio Castro Neto, Kostya S. Novoselov, and Yanmeng Shi, “Tunable van hove singularities and correlated states in twisted monolayer–bilayer graphene,” Nature Physics 17
2021
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2021
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Dorri Halbertal, Nathan R. Finney, Sai S. Sunku, Alexander Kerelsky, Carmen Rubio-Verdú, Sara Shabani, Lede Xian, Stephen Carr, Shaowen Chen, Charles Zhang, Lei Wang, Derick Gonzalez-Acevedo, Alexander S. McLeod, Daniel Rhodes, Kenji Watanabe, Takashi Taniguchi, Efthimios Kaxiras, Cory R. Dean, James C. Hone, Abhay N. Pasupathy, Dante M. Kennes, Angel Rubio, and D. N. Basov, “Moiré metrology of energy landscapes in van der waals heterostructures,” Nature Communications 12
2021
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Zeyu Hao, A. M. Zimmerman, Patrick Ledwith, Eslam Khalaf, Danial Haie Najafabadi, Kenji Watanabe, Takashi Taniguchi, Ashvin Vishwanath, and Philip Kim, “Electric field–tunable superconductivity in alternating-twist magic-angle trilayer graphene,” Science 371
2021
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Jeong Min Park, Yuan Cao, Kenji Watanabe, Takashi Taniguchi, and Pablo Jarillo-Herrero, “Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene,” Nature 590
2021
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Kenji Yasuda, Xirui Wang, Kenji Watanabe, Takashi Taniguchi, and Pablo Jarillo-Herrero, “Stacking-engineered ferroelectricity in bilayer boron nitride,” Science 372
2021
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C. R. Woods, P. Ares, H. Nevison-Andrews, M. J. Holwill, R. Fabregas, F. Guinea, A. K. Geim, K. S. Novoselov, N. R. Walet, and L. Fumagalli, “Charge-polarized interfacial superlattices in marginally twisted hexagonal boron nitride,” Nature Communications 12
2021
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