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Chin. Phys. B, 2022, Vol. 31(10): 107201    DOI: 10.1088/1674-1056/ac6866
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Observation of quadratic magnetoresistance in twisted double bilayer graphene

Yanbang Chu(褚衍邦)1,2, Le Liu(刘乐)1,2, Yiru Ji(季怡汝)1,2, Jinpeng Tian(田金朋)1,2, Fanfan Wu(吴帆帆)1,2, Jian Tang(汤建)1,2, Yalong Yuan(袁亚龙)1,2, Yanchong Zhao(赵岩翀)1,2, Xiaozhou Zan(昝晓州)1,2, Rong Yang(杨蓉)1,3, Kenji Watanabe4, Takashi Taniguchi5, Dongxia Shi(时东霞)1,2,3,†, Wei Yang(杨威)1,2,3, and Guangyu Zhang(张广宇)1,2,3,‡
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 100190, China;
3. Songshan Lake Materials Laboratory, Dongguan 523808, China;
4. Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan;
5. International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
Abstract  Magnetoresistance ({MR}) provides rich information about Fermi surface, carrier scatterings, and exotic phases for a given electronic system. Here, we report a study of the magnetoresistance for the metallic states in twisted double bilayer graphene (TDBG). We observe quadratic magnetoresistance in both Moiré valence band (VB) and Moiré conduction band (CB). The scaling analysis shows validity of Kohler's rule in the Moiré valence band. On the other hand, the quadratic magnetoresistance appears near the halo structure in the Moiré conduction band, and it violates Kohler's rule, demonstrating the {MR} scaling related to band structure in TDBG. We also propose an alternative scaling near the halo structure. Further analysis implies that the observed quadratic magnetoresistance and alternative scaling in conduction band are related to the halo boundary. Our results may inspire investigation on {MR} in twisted 2D materials and provide new knowledge for {MR} study in condensed matter physics.
Keywords:  twisted double bilayer graphene      Kohler's rule      magnetoresistance scaling      critical behavior  
Received:  02 March 2022      Revised:  16 April 2022      Accepted manuscript online: 
PACS:  73.43.Qt (Magnetoresistance)  
  72.80.Vp (Electronic transport in graphene)  
  89.75.Da (Systems obeying scaling laws)  
Fund: This work was supported by the National Key Research and Development Program of China (Grant No. 2020YFA0309600), the National Natural Science Foundation of China (Grant Nos. 61888102, 11834017, and 12074413), the Strategic Priority Research Program of CAS (Grant Nos. XDB30000000 and XDB33000000), and the Key-Area Research and Development Program of Guangdong Province (Grant No. 2020B0101340001). Growth of hexagonal boron nitride crystals was supported by the Elemental Strategy Initiative conducted by the MEXT, Japan, Grant Number JPMXP0112101001, JSPS KAKENHI (Grant No. JP20H00354) and A3 Foresight by JSPS.
Corresponding Authors:  Wei Yang, Guangyu Zhang     E-mail:  wei.yang@iphy.ac.cn;gyzhang@iphy.ac.cn

Cite this article: 

Yanbang Chu(褚衍邦), Le Liu(刘乐), Yiru Ji(季怡汝), Jinpeng Tian(田金朋), Fanfan Wu(吴帆帆), Jian Tang(汤建), Yalong Yuan(袁亚龙), Yanchong Zhao(赵岩翀), Xiaozhou Zan(昝晓州), Rong Yang(杨蓉), Kenji Watanabe, Takashi Taniguchi, Dongxia Shi(时东霞), Wei Yang(杨威), and Guangyu Zhang(张广宇) Observation of quadratic magnetoresistance in twisted double bilayer graphene 2022 Chin. Phys. B 31 107201

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