From magic angle twisted bilayer graphene to moiré superlattice quantum simulator

Ji Yi-Ru; Chu Yan-Bang; Xian Le-De; Yang Wei; Zhang Guang-Yu

doi:10.7498/aps.70.20210476

Abstract

Since the correlated insulating states and superconductivity in magic angle twisted bilayer graphene were discovered, the twisted moiré superlattice has attracted a wide range of research interest, and even has brought a new field, “twistronics”, into being. In this review, we first give a history of experimentally discovering magic angle graphene and flat band, and then summarize the recent developments of twisted moiré superlattice, including twisted graphene systems and TMDCs, and finally introduce a notion of moiré superlattice quantum simulator.

Keywords:

Authors and contacts

1.
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
2.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
3.
Beijing Key Laboratory for Nanomaterials and Nanodevices, Beijing 100190, China
4.
Songshan Lake Materials Laboratory, Dongguan 523808, China

Corresponding author: Xian Le-De, xianlede@sslab.org.cn ; Yang Wei, wei.yang@iphy.ac.cn ;

Funds: Project supported by the National Basic Research Program of China (Grant No. 2020YFA0309600), the National Natural Science Foundation of China (Grant Nos. 11834017, 61888102, 12074413), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant Nos. XDB30000000, XDB33000000)

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Cited By

图 1 “魔角”石墨烯　(a) 摩尔超晶格和摩尔布里渊区示意图^[12]; (b) 能带图^[13]; (c) 半填充的莫特绝缘态和拱形的超导态^[13]; (d) 3/4填充处的量子反常霍尔效应^[36]

Figure 1. Magic angle twisted bilayer graphene: (a) Moiré pattern and the mini Brillouin zone^[12]; (b) band energy E of TBG at $ \theta ={1.05}^{\circ } $^[13]; (c) phase diagram with mott insulating states at half filling and gate-tunable superconductivity domes nearby^[13]; (d) quantum anomalous Hall effect near 3/4 filling and schematic band structure at full filling ($ \nu =4 $) and 3/4 filling ($ \nu =3 $)^[36].

DownLoad: Full-Size Img PowerPoint

图 2 电场可调的多层石墨烯转角体系　(a) ABC堆垛的三层石墨烯/氮化硼摩尔超晶格中关联绝缘态和超导态^[43]; (b) 转角双层-双层石墨烯(TDBG, 2+2)中的关联绝缘态^[45]; (c) 转角单层-双层石墨烯(TMBG, 1+2)中的关联绝缘态^[54]; (d) 转角三层石墨烯体系(MATTG, 1+1+1)中的超导态^[56]

Figure 2. Field tunable multilayer graphene twisted moiré superlattice systems: (a) Signatures of Mott insulator and the superconducting (SC) phase in ABC-trilayer graphene/hBN superlattice^[43]; (b) correlated insulating states in twisted double bilayer graphene (TDBG)^[45]; (c) correlated insulating states in twisted monolayer-bilayer graphene (TMBG)^[54]; (d) MATTG phase diagrams, and the superconductivity is colored in blue^[56].

DownLoad: Full-Size Img PowerPoint

图 3 转角过渡金属硫化物的关联效应　(a) WSe₂/WS₂异质摩尔超晶格半填充处的莫特绝缘态和不同填充处下的磁化率$ \chi \propto g-{g}_{0} $, 和Weiss常数$ \theta $^[60]; (b) WSe₂/WS₂质摩尔超晶格分数填充处的关联绝缘态^[69]; (c) WSe₂/WSe₂同质摩尔超晶格的关联绝缘态^[58]

Figure 3. Correlated insulating states in twisted TMD superlattice: (a) Signature of correlated insulator at half filling in WSe₂/WS₂ moiré superlattice^[60]; (b) fractional insulating states in WSe₂/WS₂ moiré superlattice^[69]; (c) transport signature of half filling insulator in twisted WSe₂/WSe₂ moiré superlattice^[58].

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