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研究生: 吳治緯
論文名稱: 石墨烯中電子電子交互作用之研究
Current-Current correlator in Graphene
指導教授: 高賢忠
學位類別: 碩士
Master
系所名稱: 物理學系
Department of Physics
論文出版年: 2014
畢業學年度: 102
語文別: 中文
論文頁數: 54
中文關鍵詞: 石墨稀量子場論微擾理論
英文關鍵詞: Graphene, QFT, Perturbation theory
論文種類: 學術論文
相關次數: 點閱:157下載:25
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  • 在本文中,我們利用量子場論計算了Graphene電子間交互作用對current-current
    correlator造成的一階修正。這個結果可以用來計算Graphene的conductivity 。

    In this paper, we use quantum eld theory to calculate current-current correlator
    in Graphene to rst order in electron-electron interaction. The result can be used
    to calculate the correction to the conductivity of Graphene.

    1 Introduction 1 2 Vacuum polarization 4 3 First order correction of perturbation to current-current correla- tor 9 4 Conclusion 23 Reference 24 Appendices 25 A Tensor analysis for egg diagram 25 B Tensor analysis for self energy diagram 46

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    [3] I. V. Fialkovsky, and D. V. Vassilevich. Quantum Field Theory in Graphene. arXiv:1111.3017 (2011)
    [4] B. Rosenstein, H. C. Kao, and M. Lewkowicz. Long-range electron-electron interactions in graphene make its electrodynamics nonlocal. Physical Review B.90, 045137 (2014)
    [5] E. G. Mishchenko. Minimal conductivity in Graphene: interaction corrections and ultraviolet anomaly. arXiv:0709.4245v3 (2009)
    [6] I. Sodemann and M. M. Fogler. Interaction corrections to the polarization function of graphene. Physical Review B.86, 115408 (2012)
    [7] Michael Schu ̈tt. Coulomb Interaction and Transport in Graphene Struc- tures. Department of physics of the Karlsruhe Institute of Technology ,Karl- sruhe,Germany (2013)

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