On the density of states of graphene in the nearest-neighbor approximation

被引:6
作者
Ananyev, V. O. [1 ]
Ovchynnikov, M. I. [1 ]
机构
[1] Taras Shevchenko Natl Kyiv Univ, Fac Phys, 6 Academician Glushkov Ave, UA-03680 Kiev, Ukraine
关键词
graphene; density of states; Van Hove singularity; LATTICE;
D O I
10.5488/CMP.20.43705
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We propose an alternative analytical expression for the density of states of a clean graphene in the nearestneighbor approximation. In contrast to the previously known expression, it can be written as a single formula valid for the whole energy range. The correspondence with the previously known expression is shown and the limiting cases are analyzed.
引用
收藏
页数:4
相关论文
共 12 条
[1]  
[Anonymous], 1953, HIGHER TRANSCENDENTA
[2]  
Byrd P F, 2013, Handbook of elliptic integrals for engineers and physicists. volume67
[3]   LevelScheme: A level scheme drawing and scientific figure preparation system for Mathematica [J].
Caprio, MA .
COMPUTER PHYSICS COMMUNICATIONS, 2005, 171 (02) :107-118
[4]   The electronic properties of graphene [J].
Castro Neto, A. H. ;
Guinea, F. ;
Peres, N. M. R. ;
Novoselov, K. S. ;
Geim, A. K. .
REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162
[5]   Supercritical Coulomb center and excitonic instability in graphene [J].
Gamayun, O. V. ;
Gorbar, E. V. ;
Gusynin, V. P. .
PHYSICAL REVIEW B, 2009, 80 (16)
[6]  
Gradshteyn I. S., 2014, Table of integrals, series, and products
[7]   Ac conductivity of graphene: From tight-binding model to 2+1-dimension electrodynamics [J].
Gusynin, V. P. ;
Sharapov, S. G. ;
Carbotte, J. P. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2007, 21 (27) :4611-4658
[8]   THE STATISTICS OF A 2-DIMENSIONAL, HEXAGONAL NET [J].
HOBSON, JP ;
NIERENBERG, WA .
PHYSICAL REVIEW, 1953, 89 (03) :662-662
[9]  
HORIGUCHI T, 1972, J MATH PHYS, V13, P1411, DOI 10.1063/1.1666155
[10]  
Katsnelson M., 2020, The Physics of Graphene, V2nd