Quantum electrical capacitance in epitaxial graphene

被引:0
作者
Alisultanov, Z. Z. [1 ,2 ,3 ]
Rustamova, D. M. [3 ]
Habibulaeva, A. M. [3 ]
机构
[1] Russian Acad Sci, Dagestan Sci Ctr, Amirkhanov Dagestan Inst Phys, Makhachkala 367003, Republic Of Dag, Russia
[2] Russian Acad Sci, AM Prokhorov Gen Phys Inst, Moscow 119991, Russia
[3] Dagestan State Univ, Makhachkala, Republic Of Dag, Russia
关键词
MASSLESS DIRAC FERMIONS; GAS;
D O I
10.1063/1.4936870
中图分类号
O59 [应用物理学];
学科分类号
摘要
We used a simple model to investigate the quantum electrical capacitance of epitaxial graphene, which changes abruptly at the boundary between permitted and forbidden energies. We studied a case of a size-quantized substrate. We obtained energy, temperature, and concentration dependences. Some of the results are in satisfactory agreement with the available experimental results. We discuss the renormalization of the Fermi velocity of graphene electrons by the substrate. (C) 2015 AIP Publishing LLC.
引用
收藏
页码:911 / 916
页数:6
相关论文
共 40 条
[21]  
[Фальковский Л.А. Falkovsky L.A.], 2008, [Успехи физических наук, Uspekhi fizicheskikh nauk], V178, P923
[22]   Doping graphene with metal contacts [J].
Giovannetti, G. ;
Khomyakov, P. A. ;
Brocks, G. ;
Karpan, V. M. ;
van den Brink, J. ;
Kelly, P. J. .
PHYSICAL REVIEW LETTERS, 2008, 101 (02)
[23]   Quantum oscillations as the tool for study of new functional materials (Review Article) [J].
Gusynin, V. P. ;
Loktev, V. M. ;
Luk'yanchuk, I. A. ;
Sharapov, S. G. ;
Varlamov, A. A. .
LOW TEMPERATURE PHYSICS, 2014, 40 (04) :270-279
[24]   Unconventional integer quantum Hall effect in graphene [J].
Gusynin, VP ;
Sharapov, SG .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)
[25]  
Katsnelson M., 2020, The Physics of Graphene, V2nd
[26]   Chiral tunnelling and the Klein paradox in graphene [J].
Katsnelson, M. I. ;
Novoselov, K. S. ;
Geim, A. K. .
NATURE PHYSICS, 2006, 2 (09) :620-625
[27]   Nonlinear screening of charges induced in graphene by metal contacts [J].
Khomyakov, P. A. ;
Starikov, A. A. ;
Brocks, G. ;
Kelly, P. J. .
PHYSICAL REVIEW B, 2010, 82 (11)
[28]   First-principles study of the interaction and charge transfer between graphene and metals [J].
Khomyakov, P. A. ;
Giovannetti, G. ;
Rusu, P. C. ;
Brocks, G. ;
van den Brink, J. ;
Kelly, P. J. .
PHYSICAL REVIEW B, 2009, 79 (19)
[29]   Quantum capacitance and compressibility of graphene: The role of Coulomb interactions [J].
Lozovik, Yu. E. ;
Sokolik, A. A. ;
Zabolotskiy, A. D. .
PHYSICAL REVIEW B, 2015, 91 (07)
[30]   Ohmic contact behavior of carbon films on SiC [J].
Lu, WJ ;
Mitchel, WC ;
Thornton, CA ;
Collins, WE ;
Landis, GR ;
Smith, SR .
JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 2003, 150 (03) :G177-G182