Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping

We study the electronic instabilities of near 1/4 electron doped graphene using the singular-mode functional renormalization group, with a self-adaptive k mesh to improve the treatment of the van Hove singularities, and variational Monte Carlo method. At 1/4 doping the system is a chiral spin-densit...

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Main Authors: Wang, Wan-Sheng, Xiang, Yuan-Yuan, Wang, Qiang-Hua, Wang, Fa, Yang, Fan, Lee, Dung-Hai
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2012
Online Access:http://hdl.handle.net/1721.1/72036
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author Wang, Wan-Sheng
Xiang, Yuan-Yuan
Wang, Qiang-Hua
Wang, Fa
Yang, Fan
Lee, Dung-Hai
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Wang, Wan-Sheng
Xiang, Yuan-Yuan
Wang, Qiang-Hua
Wang, Fa
Yang, Fan
Lee, Dung-Hai
author_sort Wang, Wan-Sheng
collection MIT
description We study the electronic instabilities of near 1/4 electron doped graphene using the singular-mode functional renormalization group, with a self-adaptive k mesh to improve the treatment of the van Hove singularities, and variational Monte Carlo method. At 1/4 doping the system is a chiral spin-density wave state exhibiting the anomalous quantized Hall effect. When the doping deviates from 1/4, the dx[superscript 2]−y[superscript 2]+id[subscript xy] Cooper pairing becomes the leading instability. Our results suggest that near 1/4 electron or hole doping (away from the neutral point) the graphene is either a Chern insulator or a topoligical superconductor.
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spelling mit-1721.1/720362022-10-02T06:00:22Z Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping Wang, Wan-Sheng Xiang, Yuan-Yuan Wang, Qiang-Hua Wang, Fa Yang, Fan Lee, Dung-Hai Massachusetts Institute of Technology. Department of Physics Wang, Fa Wang, Fa We study the electronic instabilities of near 1/4 electron doped graphene using the singular-mode functional renormalization group, with a self-adaptive k mesh to improve the treatment of the van Hove singularities, and variational Monte Carlo method. At 1/4 doping the system is a chiral spin-density wave state exhibiting the anomalous quantized Hall effect. When the doping deviates from 1/4, the dx[superscript 2]−y[superscript 2]+id[subscript xy] Cooper pairing becomes the leading instability. Our results suggest that near 1/4 electron or hole doping (away from the neutral point) the graphene is either a Chern insulator or a topoligical superconductor. National Natural Science Foundation (China) (grant nos. 10974086 and 10734120) National Natural Science Foundation (China) (grant no. 10704008) United States. Dept. of Energy (grant no. DE-AC02-05CH11231) China. Ministry of Science and Technology (grant 2011CB922101) China. Ministry of Science and Technology (grant 2011CBA00108) 2012-08-08T17:10:02Z 2012-08-08T17:10:02Z 2012-01 2011-11 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/72036 Wang, Wan-Sheng et al. “Functional Renormalization Group and Variational Monte Carlo Studies of the Electronic Instabilities in Graphene Near 1/4 Doping.” Physical Review B 85.3 (2012): 035414-1-035414-6. ©2012 American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevB.85.035414 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Wang, Wan-Sheng
Xiang, Yuan-Yuan
Wang, Qiang-Hua
Wang, Fa
Yang, Fan
Lee, Dung-Hai
Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
title Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
title_full Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
title_fullStr Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
title_full_unstemmed Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
title_short Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
title_sort functional renormalization group and variational monte carlo studies of the electronic instabilities in graphene near 1 4 doping
url http://hdl.handle.net/1721.1/72036
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